COMMUNICATIONS MITTEILUNGEN FROM THE DER KONKOLY OBSERVATORY STERNWARTE OF THE DER UNGARISCHEN AKADEMIE HUNGARIAN ACADEMY OF SCIENCES DER WISSENSCHAFTEN BUDAPEST - SZABADSÁGHEGY No. 89. (Vol. 10, Part 3) PERIOD CHANGES OF RR LYRAE STARS II, TW HER, VZ HER, AV PEG AND TU UMA B. SZEIDL, K. OLÁH AND A. MIZSER BUDAPEST, 1986 PERIOD CHANGES OF RR LYRAE STARS II, TW HER, VZ HER, AV PEG AND TU UMA ABSTRACT Photographic and photoelectric observations obtained at Konkoly Observatory during the past 35 years are presented. Using all available observations the O-C diagrams of TW Her, VZ Her, AV Peg and TU UMa are constructed. The period of TW Her is constant whereas that of VZ Her, AV Peg and TU UMa is changing. The periods of VZ Her and AV Peg show an increase at a rate of +1.144*10^(-10) day/cycle = 8.20 ms/year and +1.846*10^(-10) day/cycle = 14.92 ms/year, respectively whereas the period of TU UMa is decreasing at a rate of -0.710*10^(-10) day/cycle = -4.02 ms/year. Superimposed on the parabolic O-C diagrams of AV Peg and TU UMa are cyclic variations which may result from the duplicity of these stars. INTRODUCTION In a previous paper (Oláh and Szeidl, 1978) we commenced the systematic evaluation of photographic and photoelectric observations obtained at Konkoly Observatory on single periodic field RR Lyrae stars during the past 45 years. In the present paper we have extended the investigation to the RR Lyrae type stars TW Her, VZ Her, AV Peg and TU UMa. Using our observations we were able to derive accurate times of maximum light of these variable stars. In order to construct precise and detailed O-C diagrams of these stars we collected all the available moments of maxima and attempted to treat them critically and rigorously. As a general rule, because visual observations are inferior to photoelectric observations, the visual observations carried out since the photoelectric technique was introduced have not been taken into account in calculating the new elements of light variation. In addition, the photographic maxima were, in many cases, poorly determined. The reason for this was that photographic plates with long exposure times taken for discovery or survey purposes were used too. Usually these plates were obtained sporadically and were not well distributed in time; moreover, the brightness data of the variable stars determined from these photographs badly defined the light curves especially near the maximum light. Over the past 25 years a number of photoelectric observations have been obtained by different authors. In general, these observations were carried out in order to study the physical properties of the stars, but these authors did not determine the observed epochs of maximum. The accurate observations, however, gave us a good chance to fix new times of maximum light. In subsequent papers we plan to publish our results on further RR Lyrae variables. OBSERVATIONS The 16 cm astrograph of Konkoly Observatory was used to obtain photographic observations of the stars VZ Her and AV Peg. Table 1 summarizes the most important data of the photographic observations published here. Kodak Eastman and Guilleminot Superfulgur plates were used and the typical exposure times were 2-5 minutes. Table 1 VZ Her AV Peg Plate No. J.D. No. of obs. Plate No. J.D. No. of obs. H 2103 2433427 28 H 2330 2433884 19 2104 2433427 2747 2434598 13 2134 2433475 37 2751 2434600 25 2293 2433836 21 3213 2435343 24 2449 2434154 18 3255 2435393 28 2763 2434605 25 3264 2435395 26 3203 2435339 14 3563 2435991 18 total : 135 total : 161 A number of plates were obtained for TW Her as well but the series of one of the neighbouring stars (BD +30 3078) blended with the series of the variable star on the multiple exposure plates thereby preventing TW Her from being measured on these plates. Up till 1957, photoelectric observations were made in integrated light; since 1958, the UBV system has been utilized. The 60 cm Newton telescope at Budapest was used for the observations except for those made in 1982 and 1983. These observations were obtained with the 50 cm Cassegrain telescope at Konkoly Observatory's Piszkéstetõ mountain station. The photomultipliers and filters used are described elsewhere (Oláh and Szeidl, 1978). Most of the photoelectric observations were obtained by Prof. L. Detre, Drs. L. Csank, G. Paál, and the present authors. The photoelectric observations have been transformed into the UBV system in the traditional way (see e.g. Hardie, 1962). The log of the photoelectric observations of TW Her, VZ Her, AV Peg and TU UMa made at Konkoly Observatory is reproduced in Table 2. Table 2 kind No. kind No. star year star year of obs. of obs. TW Her 1959 pe Delta V 157 AV Peg 1972 pe Delta V 18 pe Delta B 110 pe Delta B 18 1969 pe Delta V 34 1973 pe Delta V 31 pe Delta B 34 pe Delta B 31 1978 pe Delta V 50 1978 pe Delta V 49 pe Delta B 55 pe Delta B 52 1983 pe Delta V 38 1979 pe Delta V 21 pe Delta B 38 pe Delta B 22 pe Delta U 39 1982 pe Delta V 24 pe Delta B 24 VZ Her 1958 pe Delta V 103 1983 pe Delta V 69 pe Delta B 105 pe Delta B 70 1959 pe Delta V 135 pe Delta U 67 pe Delta B 84 1969 pe Delta V 64 TU UMa 1957 pe Delta m* 114 pe Delta B 64 1958 pe Delta V 163 pe Delta U 18 pe Delta B 178 1978 pe Delta V 41 1959 pe Delta V 68 pe Delta B 42 pe Delta B 71 1978 pe Delta V 19 AV Peg 1954 pe Delta m* 50 pe Delta B 22 1959 pe Delta V 226 1979 pe Delta V 35 pe Delta B 126 pe Delta B 36 1969 pe Delta V 15 1983 pe Delta V 23 pe Delta B 16 pe Delta B 20 pe Delta U 18 *in integrated light The photographic and photoelectric observations obtained at Konkoly Observatory are given in Tables 11-14. TW HERCULIS The variability of the star TW Her = 93.1910 = HV 3279 was discovered by Cannon (1910) on Harvard photographs. Zinner (1922) was the first to observe the star visually and he published two dates when the star was near maximum brightness (10.3 magn.). These times have been included in the list of times of maximum (Table 4). Thorough visual observations of TW Her were carried out by Hoffmeister (1922) in the years 1917-1920 and he determined the RR Lyrae type character of its light variations and derived the elements: J.D.max.hel. = 2421545.2376 + 0.3995977d*E On the basis of further photographic observations in 1925, Hoffmeister (1927) rediscussed the elements of light variations and confirmed his previous results. He gave the new formula: J.D.max.hel. = 2421545.2376 + 0.39959954d*E The large amplitude of the rapid light variation of the star makes it an easy object for visual observations. Hence TW Her tended to be very popular among visual observers, and a great number of visual observations have been collected in the past sixty years. In particular the Soviet astronomers (Batyrev, 1951b; Bogdanov, 1972; Lange, 1938, 1959, 1960, 1961; Nachapkin, 1938; Soloviev, 1935a, b, c, 1936a, d, 1937; Soloviev and Shakovskoj, 1958; Steinman, 1958; Tsessevich, 1966) were very active. The BAV group (Braune and Hübscher, 1967; Braune, Hübscher and Mundry, 1970, 1972, 1979; Braune and Mundry, 1973, 1982; Domke and Pohl, 1952; Hübscher and Mundry, 1984) and Ahnert (1967, 1970, 1971) supplemented this series of visual observations. Mention is made of the photographic observations of Alania (1954, 1956). Because the exposure times he used were fairly long and the light curves were not well defined the dates of maximum given by him are unreliable and cannot be used for investigating the changes in the period of TW Her. Photoelectric observations were carried out by Fitch et al. (1966), Sturch (1966), Epstein (1969) and Stepien (1972). Although Sturch, Epstein and Stepien did not give any moments of maximum we were able to determine reliable maxima from their observations for the years 1963, 1966 and 1967. The photoelectric photometry of this star was taken up at Konkoly Observatory in 1959. The comparison star used in our photometry (indicated by "c" in Figure 1) was the same as used by Sturch (1966). The brightness and colours of Stepien's (1972) comparison star and of some neighbouring stars measured on one night are also given in Table 3. The identification chart of these objects is shown in Figure 1. Table 3 Magnitudes and colours of comparison stars of TW Her star V B-V U-B References a =BD +30 3081 10.097 +0.388 +0.035 Stepien(1972) b =BD +30 3080 10.277 +0.953 present study c 10.554 +0.266 -0.004 Sturch (1966) d 10.580 +0.969 present study e 11.420 +0.561 present study f 12.109 +0.339 present study Figure 1: Identification chart of TW Her The photoelectric observations obtained at Konkoly Observatory (in the sense: variable minus comparison star "c") are given in Table 11 and shown in Figure 2. A comparison of the photoelectric light curves obtained by Fitch et al. (1961), Sturch (1966), Epstein (1969), and Stepien (1972) with those published in the present paper provides proof of the stable character of the light variation of TW Her: any kind of light curve variation, i.e. Blazhko effect, is out of the question. Figure 2: Light curves of TW Her Table 4 year J.D.max.hel. O-C_1 O-C_2 E method w Reference 1912 2419714.271 +0.0047 +0.0049 -4582 vis 1 Zinner (1922) 1913 20092.283 -0.0050 -0.0048 -3636 vis 1 -"- 1917 21545.253 +0.0190 +0.0191 0 vis 1 Hoffmeister (1922) 1918 21642.732 -0.0044 -0.0043 + 244 vis 1 -"- 21665.523 +0.0094 +0.0095 301 vis 1 -"- 21669.510 +0.0004 +0.0005 311 vis 1 -"- 21721.453 -0.0046 -0.0046 441 vis 1 -"- 21731.448 +0.0004 +0.0004 466 vis 1 -"- 21749.438 +0.0083 +0.0084 511 vis 1 -"- 21820.560 +0.0015 +0.0016 689 vis 1 -"- 1919 22191.382 -0.0054 -0.0053 1617 vis 1 -"- 1920 22607.371 -0.0001 -0.0001 2658 vis 1 -"- 1925 24376.403 +0.0023 +0.0021 7085 pg 2 Hoffmeister (1927) 24380.401 +0.0043 +0.0041 7095 pg 2 -"- 24386.394 +0.0033 +0.0031 7110 pg 2 -"- 24406.369 -0.0017 -0.0019 7160 pg 2 -"- 24408.365 -0.0037 -0.0039 7165 pg 2 -"- 24410.360 -0.0067 -0.0069 7170 pg 2 -"- 1927 24967.407 -0.0023 -0.0025 8564 vis 1 Tsessevich (1966) 25067.304 -0.0053 -0.0055 8814 vis 1 -"- 25069.303 -0.0043 -0.0045 8819 vis 1 -"- 25071.300 -0.0053 -0.0055 8824 vis 1 -"- 25077.300 +0.0007 +0.0005 8839 vis 1 -"- 25083.287 -0.0063 -0.0065 8854 vis 1 -"- 25085.298 +0.0067 +0.0065 8859 vis 1 -"- 25087.288 -0.0013 -0.0015 8864 vis 1 -"- 25089.286 -0.0013 -0.0015 8869 vis 1 -"- 25091.281 -0.0043 -0.0045 8874 vis 1 -"- 25093.281 -0.0023 -0.0025 8879 vis 1 -"- 25095.273 -0.0083 -0.0085 8884 vis 1 -"- 25097.275 -0.0043 -0.0045 8889 vis 1 -"- 25099.281 +0.0037 +0.0035 8894 vis 1 -"- 25103.270 -0.0033 -0.0035 8904 vis 1 -"- 25107.264 -0.0053 -0.0055 8914 vis 1 -"- 1933 27309.463 -0.0025 -0.0029 14425 visN 1 Lange (1938) 1934 27599.1755 -0.0001 -0.0005 15150 visN 1 Soloviev (1935a, b) 1935 27969.202 -0.0033 -0.0037 16076 visN 1 Soloviev (1935c, 1936a, d) 1936 28373.203 +0.0020 +0.0015 17087 visN 1 Soloviev (1937) 28394.784 +0.0046 +0.0041 17141 visN 1 Soloviev,Shakovskoj (1958) 28403.508 -0.0626 -0.0631 17163 visN 0 Nachapkin (1938) 1942 30616.1602 +0.0038 +0.0032 22700 vis 1 Tsessevich (1966) 1949 33122.444 -0.0042 -0.0051 28972 vis 1 Batyrev (1951b) 33191.184 +0.0046 +0.0037 29144 vis 1 -"- 33203.169 +0.0016 +0.0007 29174 vis 1 -"- 33211.166 +0.0066 +0.0057 29194 vis 1 -"- 33217.161 +0.0076 +0.0067 29209 vis 1 -"- 1951 33829.362 +0.0212 +0.0203 30741 pg 0 Alania (1954) 33858.517 +0.0054 +0.0045 30814 vis 1 Domke, Pohl (1952) 33872.504 +0.0064 +0.0054 30849 vis 1 -"- 33898.4795 +0.0079 +0.0069 30914 vis 1 -"- 1953 34577.393 +0.0008 -0.0002 32613 pg 0 Alania (1954) 1955 35364.248 +0.0432 +0.0421 34582 pg 0 Alania (1956) 1957 36090.6842 +0.0064 +0.0053 36400 visN 1 Steinman (1958) Table 4 (cont.) year J.D.max.hel. O-C_1 O-C_2 E method w Reference 1959 2436756.4066 -0.0050 -0.0062 38066 vis 0 Lange (1959) 36756.4144 +0.0028 +0.0017 38066 pe 3 present paper 36758.4059 -0.0037 -0.0049 38071 vis 0 Lange (1959) 36758.4105 +0.0009 -0.0003 38071 pe 3 present paper 36760.4006 -0.0070 -0.0082 38076 vis 0 Lange (1959) 36760.4101 +0.0025 +0.0014 38076 pe 3 present paper 36762.4010 -0.0046 -0.0058 38081 vis 0 Lange (1959) 36776.3917 +0.0001 -0.0011 38116 pe 3 present paper 36784.3767 -0.0069 -0.0081 38136 vis 0 Lange (1959) 1960 37130.4288 -0.0085 -0.0097 39002 vis 0 Lange (1960) 37134.4272 -0.0061 -0.0073 39012 vis 0 -"- 37136.4263 -0.0050 -0.0062 39017 vis 0 -"- 37142.4178 -0.0075 -0.0087 39032 vis 0 -"- 37144.4160 -0.0073 -0.0085 39037 vis 0 -"- 37158.4066 -0.0027 -0.0039 39072 vis 0 -"- 37164.4019 -0.0014 -0.0026 39087 vis 0 -"- 37170.3930 -0.0043 -0.0055 39102 vis 0 -"- 1961 37494.4635 -0.0035 -0.0047 39913 vis 0 Lange (1961) 37496.4670 -0.0040 -0.0052 39918 vis 0 -"- 37518.4453 -0.0037 -0.0049 39973 vis 0 -"- 37520.4396 -0.0074 -0.0086 39978 vis 0 -"- 37522.4417 -0.0033 -0.0045 39983 vis 0 -"- 1962 37781.3834 -0.0024 -0.0037 40631 vis 0 Tsessevich(1966) 37789.3763 -0.0015 -0.0028 40651 vis 0 -"- 37809.3651 +0.0073 +0.0060 40701 vis 0 -"- 37813.3563 +0.0025 +0.0012 40711 vis 0 -"- 37817.3551 +0.0053 +0.0040 40721 vis 0 -"- 37841.3332 +0.0074 +0.0061 40781 vis 0 -"- 37847.3290 +0.0092 +0.0079 40796 vis 0 -"- 37869.2963 -0.0016 -0.0028 40851 vis 0 -"- 37871.3002 +0.0044 +0.0031 40856 vis 0 -"- 37872.4926 -0.0020 -0.0033 40859 vis 0 -"- 37873.2944 +0.0006 -0.0007 40861 vis 0 -"- 37878.4891 +0.0004 -0.0008 40874 vis 0 -"- 37881.2878 +0.0020 +0.0007 40881 vis 0 -"- 37883.2845 +0.0006 -0.0006 40886 vis 0 -"- 37884.4816 -0.0011 -0.0023 40889 vis 0 -"- 37899.2738 +0.0059 +0.0047 40926 vis 0 -"- 37903.2650 +0.0011 -0.0002 40936 vis 0 -"- 37925.2374 -0.0045 -0.0058 40991 vis 0 -"- 37943.2207 -0.0032 -0.0045 41036 vis 0 -"- 37955.2040 -0.0079 -0.0092 41066 vis 0 -"- 37959.2030 -0.0049 -0.0062 41076 vis 0 -"- 37961.2018 -0.0041 -0.0054 41081 vis 0 -"- 37963.2006 -0.0033 -0.0046 41086 vis 0 -"- 1963 38179.3919 +0.0044 +0.0031 41627 vis 0 -"- 38181.3924 +0.0069 +0.0056 41632 vis 0 -"- 38207.3591 -0.0004 -0.0018 41697 vis 0 -"- 38209.3630 +0.0055 +0.0042 41702 vis 0 -"- 38221.3489 +0.0034 +0.0020 41732 vis 0 -"- 38223.3438 +0.0003 -0.0011 41737 vis 0 -"- 38229.3374 -0.0001 -0.0015 41752 vis 0 -"- 38231.3407 +0.0052 +0.0038 41757 vis 0 -"- Table 4 (cont.) year J.D.max.hel. O-C_1 O-C_2 E method w Reference 1963 2438233.3324 -0.0011 -0.0025 41762 vis 0 Tsessevich (1966) 38235.3365 +0.0050 +0.0036 41767 vis 0 -"- 38243.724 +0.0009 -0.0005 41788 pe 3 Sturch (1966) 38259.3038 -0.0037 -0.0051 41827 vis 0 Tsessevich (1966) 38263.3096 +0.0060 +0.0047 41837 vis 0 -"- 38267.2995 -0.0001 -0.0014 41847 vis 0 -"- 38269.2943 -0.0033 -0.0046 41852 vis 0 -"- 38271.2932 -0.0024 -0.0037 41857 vis 0 -"- 38273.2908 -0.0028 -0.0041 41862 vis 0 -"- 38275.2901 -0.0015 -0.0028 41867 vis 0 -"- 38283.2800 -0.0036 -0.0049 41887 vis 0 -"- 38285.2765 -0.0051 -0.0064 41892 vis 0 -"- 38289.2789 +0.0013 0.0000 41902 vis 0 -"- 38293.2810 +0.0074 +0.0061 41912 vis 0 -"- 38295.2728 +0.0012 -0.0001 41917 vis 0 -"- 38297.2778 +0.0082 +0.0069 41922 vis 0 -"- 1964 38559.811 +0.0042 +0.0028 42579 pe 3 Fitch et al. (1966) 1965 38855.530 +0.0191 +0.0177 43319 vis 0 Braune, Hübscher (1967) 38915.451 +0.0001 -0.0013 43469 vis 0 -"- 38931.443 +0.0081 +0.0067 43509 vis 0 -"- 39027.348 +0.0090 +0.0077 43749 vis 0 -"- 39053.322 +0.0090 +0.0077 43814 vis 0 -"- 39055.313 +0.0020 +0.0007 43819 vis 0 -"- 39057.3135 +0.0045 +0.0032 43824 vis 0 -"- 1966 39233.539 +0.0064 +0.0050 44265 vis 0 Braune et al. (1970) 39263.507 +0.0044 +0.0030 44340 vis 0 Ahnert (1967, 1970) 39285.489 +0.0084 +0.0070 44395 vis 0 Braune et al. (1970) 39289.876 -0.0002 -0.0016 44406 pe 3 Epstein (1969) 39387.376 -0.0026 -0.0041 44650 vis 0 Braune et al. (1970) 39389.387 +0.0104 +0.0089 44655 vis 0 -"- 1967 39631.9350 +0.0011 -0.0004 45262 pe 3 Stepien (1972) 39707.8592 +0.0013 -0.0002 45452 pe 3 -"- 1968 40065.512 +0.0120 +0.0105 46347 vis 0 Braune et al. (1970) 40073.491 -0.0010 -0.0025 46367 vis 0 -"- 1969 40419.5467 +0.0010 -0.0005 47233 pe 3 present paper 1970 40740.428 +0.0034 +0.0019 48036 vis 0 Ahnert (1971) 40804.368 +0.0074 +0.0059 48196 vis 0 Braune et al. (1972) 1971 41074.493 +0.0027 +0.0012 48872 vis 0 -"- 41166.404 +0.0057 +0.0041 49102 vis 0 Bogdanov (1972) 41186.384 +0.0057 +0.0041 49152 vis 0 -"- 41194.391 +0.0207 +0.0191 49172 vis 0 -"- 41240.331 +0.0067 +0.0051 49287 vis 0 Braune et al. (1972) 1972 41558.408 +0.0020 +0.0004 50083 vis 0 Braune, Mundry (1973) 41576.399 +0.0110 +0.0094 50128 vis 0 -"- 1977 43401.359 -0.0027 -0.0045 54695 vis 0 Braune et al. (1979) 1978 43717.4447 -0.0007 -0.0025 55486 pe 3 present paper 43755.4085 +0.0011 -0.0007 55581 pe 3 -"- 1981 44742.420 +0.0004 -0.0015 58051 vis 0 Braune, Mundry (1982) 44770.396 +0.0044 +0.0025 58121 vis 0 -"- 1982 45162.397 -0.0023 -0.0043 59102 vis 0 Hübscher, Mundry (1984) 45226.330 -0.0054 -0.0073 59262 vis 0 -"- 45238.323 -0.0004 -0.0023 59292 vis 0 -"- 1983 45546.4153 +0.0003 -0.0017 60053 pe 3 present paper The list of maxima observed by different authors is presented in Table 4. The letter "N" indicates that the maximum is a normal one. The abbreviations "vis","pg","pe" refer to visual, photographic and photoelectric observations, respectively; w gives the weight of the time of maximum which was taken into account in the period analysis, all the published dates before 1959 were used in our analysis except the times of maximum given by Alania (1954, 1956) (see the comment above) and the epoch of Nachapkin (1938). Nachapkin's observations were reanalysed by Soloviev and Shakovskoj (1958) and they gave a more reliable epoch. Since reliable and well-defined photoelectric maxima have been available from 1959, from this time onwards only these epochs were taken into account in investigating the possible period changes of the star; all visual observations after 1958 have been neglected. Throughout the years the ephemeris given by Tsessevich (1966) has been used for calculating the O-C values: C_1 = J.D. max.hel. = 2421545.2340 + 0.399600104d*E The O-C_1 values are given in the third column of Table 4. A quadratic fit of the O-C diagram yields the elements: J.D.max.hel. = 2421545.2333 + 0.399600221d*E -0.015*10^(-10)d*E^2 +-.0009 +-.000000086 +-.016 Since the error of the quadratic term exceeds the value itself, this solution shows that a linear fit of the O-C diagram gives satisfactory results: Figure 3: O-C diagram of TW Her C_2 = J.D.max.hel. = 2421545.2339 + 0.399600138d*E +-.0007 +-.000000022 The O-C_2 values in Table 4 were calculated by this formula. This analysis shows that the period of TW Her has not undergone noticeable period changes during the past 70 years. The constancy of its period can be taken for granted. VZ HERCULIS The variable star VZ Her = 38.1919 (= BV 281) was discovered by Wolf (1919) on photographic plates taken at Heidelberg. Leiner (1920) determined the RR Lyrae type variability and gave the following elements from his visual observations: J.D.max.hel. = 2422388.496 + 0.44032d*E Later Haas (1926) obtained some photographic observations but they were very few and cannot be used to determine a reliable moment of maximum light. Tsessevich (1926) and then Florja (1934a) observed the star visually. Tsessevich gave the new formula: J.D.max.hel. = 2422388.500 + 0.44032425d*E while Florja found that the period was linearly increasing: J.D.max.hel. = 2425004.458 + 0.44032419d*E + 0.987*10^(-10)d*E^2 New and very accurate photographic observations were obtained by Balázs (1936). She found no changes in the period of the star, and according to her: J.D.max.hel. = 2425004.4614 + 0.44032425d*E Payne-Gaposchkin (1954) made use of the Harvard photographs and derived a normal maximum for the years around 1940. From our list of maxima (Table 6) This very uncertain point has been omitted. Tsessevich (1943, 1966) supplemented his previous visual observations with new ones and carried out a detailed investigation of the changes in the period of VZ Her. He stated that the period changed abruptly around J.D. 2427250 (summer 1933), and before that time the elements were: J.D.max.hel. = 2425004.4590 + 0.44032394d*E and since that time the formula: J.D.max.hel. = 2425004.4456 + 0.44032631d*E has been valid. Strohmeier and Bauernfeind (1968) investigated the star on Bamberg archive plates and determined some 80 instances of light maximum back to the beginning of this century. The O-C's of these maxima have a very large scatter therefore we have taken only the mean maxima from their table. Photoelectric observations were made by Sturch (1966), Fitch et al. (1966) and Butler et al. (1982). Fitch et al. gave two times of light maximum; Sturch and Butler et al., however, did not publish any time of maximum. Their observations do not cover the light curve around the maximum therefore we fitted the mean photoelectric V light curve obtained at Konkoly Observatory into their observations and in this way we were able to determine two epochs of maximum: one for the year 1964 (from Sturch's observations) and one for the year 1976 (from Butler et al.'s observations). At Konkoly Observatory VZ Her was photographically observed in 1950, 1951, 1952, 1953, 1955 and 1957 (Table 12a). The comparison stars used were taken from Balázs (1936). The star was first observed photoelectrically in 1958 on J.D. 2436363. Our photoelectric observations are given in Table 12b, c, d, and are presented in Figure 5. For these observations BD +36 2836 was used as a comparison star. Secondary comparison stars were also observed. The identification chart of the comparison stars is shown in Figure 4 and their brightness and colours are given in Table 5. All the observed maxima are listed in Table 6. It is clear from previous investigations that all the maxima cannot be satisfied with one period. Tsessevich (1966) stated that with two periods, one before J.D. 2427250 and one after it, the O-C diagram of VZ Her can be well interpreted. In order to construct the whole O-C diagram we used the mean value of Tsessevich's (1966) two periods: C_1 = J.D.max.hel. = 2425004.4590 + O.44032512d*E Table 5 Comparison stars for VZ Her star V B-V U-B Reference a = BD +36 2836 (main) 10.947 +0.510 +0.050 Sturch (1966) b (secondary) 11.290 +0.522 present study c (secondary) 11.355 +0.564 present study Figure 4: Identification chart of VZ Her The O-C diagram of VZ. Her Is shown in Figure 6. The photoelectric observations made in the 60's and 70's show that Tsessevich's assumption is not correct: the O-C diagram cannot be represented by two straight lines. The period of the star has increased continuously and we supposed in our calculation that since the observations of Leiner (i.e. since 1920) the period has changed linearly. Following our procedure we used the visual. observations only before photoelectric observations existed. The O-C's of Strohmeier and Bauernfeind's (1968) photographic maxima exhibited a very large scatter therefore they were simply omitted when calculating the elements. The new formula with the quadratic term is: C_2 = J.D.max.hel. = 2425004.4581 + 0.440324431d*E + 0.572*10^(-10)d*E^2 +-.0004 +-.000000044 +-.011 These new elements well represent all the observed maxima (except those of Strohmeier and Bauernfeind). Consequently the period of VZ. Her has changed by +1.144*10^(-10) day/cycle = +8.199*10^(-3) sec/year in the past 60 years. Figure 5: Light curves of VZ Her Table 6 year J.D.max.hel. O-C_1 O-C_2 E method w Reference 1901 2415663.534 +0.1321 +0.0926 -21214 pgM 0 Strohmeier,Bauernfeind(1968) 1902 15800.915 +0.1317 +0.0932 20902 pgM 0 -"- 1909 18521.609 +0.0567 +0.0351 14723 pgM 0 -"- 1916 21028.789 +0.0255 +0.0155 9029 pgM 0 -"- 1920 22388.496 +0.0085 +0.0033 5941 via 1 Leiner (1920) 1923 23544.809 +0.0278 +0.0258 3315 pgM 0 Strohmeier,Bauernfeind(1968) 1926 24786.500 +0.0019 +0.0025 495 visN 1 Tsessevich (1926, 1943) 1927 24970.550 -0.0040 -0.0031 - 77 vis 1 Tsessevich (1943) 25086.357 -0.0025 -0.0015 + 186 vis 1 -"- 1928 25325.455 -0.010 +0.0004 729 vis 1 -"- 1930 26066.520 -0.0032 -0.0010 2412 vis 1 -"- 26185.847 -0.0043 -0.0020 2683 vis 1 -"- 1931 26546.476 -0.0016 +0.0010 3502 vis 1 -"- 1932 26921.659 +0.0244 +0.0272 4354 pgM 0 Strohmeier,Bauernfeind(1968) 26967.425 -0.0034 -0.0006 4458 vis 1 Tsessevich (1943) 1933 27274.328 -0.0070 -0.0041 5155 vis 1 Florja (1934a) 1934 27614.287 +0.0210 +0.0240 5927 visN 0 Soloviev (1935d) 27667.573 +0.0277 +0.0307 6048 pgM 0 Strohmeier,Bauernfeind(1968) 1935 27973.567 -0.0043 -0.0013 6743 visN 1 Soloviev (1936b, f, 1941) 27989.421 -0.0020 +0.0010 6779 pg 2 Balázs (1936) 27993.382 -0.0039 -0.0010 6788 pg 2 -"- 27996.466 -0.0022 +0.0008 6795 pg 2 -"- 28003.511 -0.0024 +0.0006 6811 pg 2 -"- 28045.341 -0.0033 -0.0004 6906 pg 2 -"- 28075.284 -0.0024 +0.0005 6974 pg 2 -"- 1937 28616.891 +0.0047 +0.0074 8204 pgM 0 Strohmeier,Bauernfeind(1968) 1938 29015.811 -0.0090 -0.0074 9110 pgM 0 -"- 29089.353 -0.0021 +0.0002 9277 vis 0 Parenago (1947) 1940 29712.894 +0.0385 +0.0402 10693 pgM 0 Strohmeier,Bauernfeind(1968) 1942 30612.440 +0.0003 +0.0007 12736 vis 0 Tsessevich (1943, 1948) 1943 30941.363 +0.0004 +0.0002 13483 vis 0 -"- 1950 33427.446 +0.0078 +0.0009 19129 pg 2 present paper 33475.443 +0.0093 +0.0023 19238 pg 2 -"- 1951 33836.510 +0.0097 +0.0015 20058 pg 2 -"- 33856.324 +0.0091 +0.0008 20103 pg 2 Alania (1954) 33897.278 +0.0129 +0.0044 20196 vis 0 Tsessevich (1957) 1953 34605.320 +0.0121 +0.0008 21804 pg 2 present paper 1955 35339.344 +0.0141 -0.0003 23471 pg 2 -"- 1956 35693.367 +0.0157 -0.0004 24275 vis 0 Tsessevich (1957) 1957 35991.470 +0.0186 +0.0011 24952 pg 2 present paper 1958 36363.5445 +0.0184 -0.0010 25797 pe 3 -"- 36364.4256 +0.0188 -0.0006 25799 pe 3 -"- 36405.3750 +0.0180 -0.0016 25892 pe 3 -"- 36420.3465 +0.0184 -0.0013 25926 pe 3 -"- 1959 36758.5192 +0.0214 0.0000 26694 pe 3 -"- 36781.407 +0.0123 -0.0093 26746 vis 0 Lange (1959) 36792.413 +0.0102 -0.0114 26771 vis 0 -"- 36793.303 +0.0196 -0.0021 26773 vis 0 -"- 36807.3980 +0.0242 +0.0024 26805 pe 3 present paper 1962 37818.383 +0.0227 -0.0048 29101 vis 0 Tsessevich (1966) 37848.335: +0.0326: +0.0049: 29169 vis 0 -"- 37851.408 +0.0233 -0.0044 29176 vis 0 -"- 37855.373 +0.0254 -0.0023 29185 vis 0 -"- 37869.468 +0.0300 +0.0022 29217 vis 0 -"- Table 6 (cont.) year J.D.max.hel. O-C_1 O-C_2 E method w Reference 1962 2437873.427 +0.0260 -0.0018 29226 vis 0 Tsessevich (1966) 37878.270: +0.0255: -0.0024: 29237 vis 0 -"- 37885.320 +0.0303 +0.0024 29253 vis 0 -"- 37900.285 +0.0242 -0.0038 29287 vis 0 -"- 37903.365 +0.0219 -0.0061 29294 vis 0 -"- 1964 38577.952 +0.0308 -0.0014 30826 pe 3 Sturch (1966) 1965 38888.826 +0.0353 +0.0011 31532 pe 3 Fitch et al. (1966) 38936.821 +0.0349 +0.0003 31641 pe 3 -"- 1969 40403.546 +0.0369 -0.0081 34972 vis 0 Derivyagin et al. (1981) 40418.5239 +0.0438 -0.0013 35006 pe 3 present paper 40419.4048 +0.0440 -0.0011 35008 pe 3 -"- 1976 42954.821 +0.0682 +0.0021 40766 pe 3 Butler et al. (1982) 1978 43721.4313 +0.0724 -0.0007 42507 pe 3 present paper 1981 44761.495 +0.0882 +0.0049 44869 vis 0 Braune, Mundry (1982) 44820.495 +0.0846 +0.0007 45003 vis 0 -"- 44854.396 +0.0806 -0.0037 45080 vis 0 -"- 1982 45105.405 +0.1043 +0.0174 45650 vis 0 Hübscher, Mundry, (1984) 45227.359 +0.0882 +0.0001 45927 vis 0 -"- Figure 6: O-C diagram of VZ Her AV PEGASI The variability of the star AV Peg = BD +21 4633 (9.5) = 90.1931 = HV 6181 was discovered by Hoffmeister (1931) on Sonneberg plates. When publishing his results Hoffmeister indicated the RR Lyrae type characteristics of its light variation. Florja (1932) definitely determined the RR Lyrae type of the star and based on his 266 visual observations, gave the preliminary elements: J.D.max.hel. = 2426582.302 + 0.3903859d*E Later, Florja (1933) published 20 times of light maximum using his own and Tsessevich's visual observations, but he also gave a normal maximum based on this observational material. We have given only this time of maximum in the list of light maxima of AV Peg (Table 8). In a later work Florja (1934b) recalculated the light elements and gave: J.D.max.hel. = 2426582.302 + 0.3903698d*E Dombrovsky (1936) gave a new ephemeris with quadratic term: J.D.max.hel. = 2426582.3015 + 0.39037167d*E - 0.72*10^(-9)d*E^2 From three year observations he stated, oddly enough, that the period was decreasing by 1.44*10^(-9) day/cycle = 0.116 sec/year. On the other hand Balázs (1934) found no definite change in the period within three years. In Table 8 we have listed, where possible, the visual normal maximum instead of the long list of maxima observed. Batyrev (1950) gave three while Sacharov (1964) gave 18 individual maxima, but in Table 8 their normal maxima are given. Grigor'ev (1975) measured the star on the plates of Odessa Observatory and from 144 observations ha gave nine maxima which are erroneous; we have therefore omitted them from Table 8. Wenske (1981) observed the star visually on 23 nights in the years 1963-1966 and photoelectrically in integrated light on 35 nights in the years 1967-1973 and 1975, but the times of maximum light have not been given. (Wenske published only the epochs of a certain point on the rising branch.) Times of photoelectric maximum were published by Fitch et al. (1966). The excellent observations of Paczynski (1965) allowed another one to be determined. Further times of photoelectric maxima could be determined from Sturch's (1966), Jones's (1966) and Penston's (1973) observations by fitting Paczynski's light curve into their photoelectric data. Photographic observations were made at Konkoly Observatory between 1951 and 1955 (Table 13a) and six times of light maximum could be determined from these data. We chose the same comparison stars as used by Balázs (1934). The first photoelectric observations were obtained at Konkoly Observatory in integrated light in 1954. As a comparison star for these observations (Table 13b) BD +21 4632 was used. UBV observations were commenced in 1959. The comparison star used was the star "b" shown in the identification chart (Figure 7). The brightness and colours of comparison stars used in this paper and by others are given in Table 7. Table 7 Magnitudes and colours of comparison stars of AV Peg star V B-V U-B Reference a = BD +21 4632 9.34 +0.67 +0.14 Paczynski (1965) 9.35 +0.66 +0.02 Jones (1966) 9.345 +0.653 +0.120 Starch (1966) b 10.39 +0.24 +0.11 present study c 10.74 +1.72 Jones (1966) Figure 7: Identification chart of AV Peg The photoelectric observations made at Konkoly observatory are given in the sense: variable minus "b" in Table 13c, d, e, and are plotted against phase in Figure 8. From our photoelectric observations 12 times of maximum light could be derived for the years 1954, 1959 (2), 1969, 1972, 1973, 1978 (2), 1979, 1982 and 1983 (2). Figure 8: Light curves of AV Peg Table 8 year J.D.max.hel. O-C_1 O-C_2 E method w Reference 1903 2416347.713 +0.0790 +0.0150 -26218 pgN 2 Payne-Gaposchkin (1954) 1910 18950.26 +0.0422 +0.0049 -19551 pgN 2 Tsessevich (1966) 1931 26582.302 -0.0015 -0.0079 0 visN 1 Florja (1932, 1933) 26652.561 -0.0087 -0.0152 + 180 pgN 2 Payne-Gaposchkin (1954) 1932 26970.329 -0.0003 -0.0071 994 vis 1 Okunev (1933) 1933 27312.293 +0.0012 -0.0059 1870 vis 1 Tsessevich (1966) 1934 27616.773 -0.0058 -0.0135 2650 vis 1 Dombrovsky (1936) 27631.228 +0.0055 -0.0021 2687 visN 1 Soloviev (1935a, b) 27653.4746 +0.0012 -0.0065 2744 pg 2 Balázs (1934) 27655.4263 +0.0010 -0.0067 2749 pg 2 -"- 27660.5002 +0.0001 -0.0076 2762 pg 2 -"- 1935 27981.388 +0.0054 -0.0030 3584 visN 1 Soloviev (1936b, c) 28098.495 +0.0020 -0.0067 3884 visN 1 Soloviev,Shakovskoj (1958) 28866.355 +0.0080 -0.0028 5851 visN 1 -"- 1949 33215.468 +0.0306 -0.0062 16992 visN 1 Batyrev (1950) 1950 33527.377 +0.0355 -0.0040 17791 vis 1 Batyrev (1951a) 33529.324 +0.0307 -0.0089 17796 vis 1 -"- 33532.457 +0.0407 +0.0012 17804 vis 1 -"- 33575.391 +0.0343 -0.0057 17914 vis 1 -"- 33642.144 +0.0343 -0.0063 18085 vis 1 -"- 1951 33884.5675 +0.0393 -0.0036 18706 pg 2 present paper 33888.478 +0.0461 +0.0032 18716 vis 1 Domke, Pohl (1952) 33898.627 +0.0455 +0.0026 18742 vis 1 -"- 33910.339 +0.0465 +0.0034 18772 vis 1 -"- 33912.283 +0.0386 -0.0045 18777 vis 1 -"- 33917.3645 +0.0453 +0.0022 18790 via 1 -"- 33926.340 +0.0424 -0.0008 18813 via 1 -"- 33928.291 +0.0415 -0.0017 18818 via 1 -"- 1952 34244.495 +0.0474 +0.0011 19628 pg 2 Alania (1954) 34252.304 +0.0491 +0.0027 19648 pg 2 -"- 1953 34598.5638 +0.0524 +0.0026 20535 pg 2 present paper 34600.5138 +0.0506 +0.0007 20540 pg 2 -"- 1954 35069.3505 +0.0552 +0.0004 21741 pe 3 -"- 1955 35343.4000 +0.0664 +0.0085 22443 pg 2 -"- 35393.3620 +0.0612 +0.0029 22571 pg 2 -"- 35395.3124 +0.0598 +0.0014 22576 pg 2 -"- 1957 36051.555 +0.0937 +0.0277 24257 pg 0 Huth (1966) 36055.475 +0.1100 +0.0439 24267 pg 0 -"- 36085.497 +0.0737 +0.0072 24344 pg 0 -"- 36146.3994 +0.0787 +0.0115 24500 vis 0 Steinman (1958) 1958 36461.440 +0.0923 +0.0212 25307 pg 0 Huth (1966) 1959 36795.5826 +0.0798 +0.0045 26163 pe 3 present paper 36804.5635 +0.0822 +0.0068 26186 pe 3 -"- 36808.477 +0.0921 +0.0166 26196 pg 0 Huth (1966) 36817.479 +0.1156 +0.0400 26219 pg 0 -"- 36840.491 +0.0959 +0.0200 26278 pg 0 -"- 36851.431 +0.1056 +0.0295 26306 pg 0 -"- 36867.414 +0.0835 +0.0072 26347 pg 0 -"- 36876.391 +0.0820 +0.0056 26370 visN 0 Ahnert (1960) 36903.356 +0.1116 +0.0349 26439 pg 0 Huth (1966) 1960 37136.366 +0.0719 -0.0079 27036 vis 0 Lange (1960) 1961 37497.468 +0.0835 -0.0013 27961 vis 0 Lange (1961) 37501.372 +0.0838 -0.0010 27971 vis 0 -"- 37519.328 +0.0828 -0.0022 28017 vis 0 -"- Table 8 (cont.) year J.D.max.hel. O-C_1 O-C_2 E method w Reference 1961 2437528.312: +0.0884: +0.0032: 28040 vis 0 Lange (1961) 1962 37669.243 +0.0965 +0.0094 28401 pg 0 Huth (1966) 37868.317 +0.0828 -0.0071 28911 vis 0 Tsessevich (1966) 37869.546 +0.1407 +0.0508 28914 pg 0 Huth (1966) 37871.441 +0.0839 -0.0061 28919 vis 0 Tsessevich (1966) 37873.398 +0.0890 -0.0010 28924 vis 0 -"- 37885.501 +0.0906 +0.0005 28955 pg 0 Huth (1966) 37896.437 +0.0963 +0.0060 28983 visN 0 Sacharov (1964) 37898.393 +0.1005 +0.0101 28988 vis 0 Tsessevich (1966) 37900.342 +0.0976 +0.0073 28993 vis 0 -"- 37902.292 +0.0958 +0.0054 28998 vis 0 -"- 37903.461 +0.0937 +0.0033 29001 pg 0 Huth (1966) 37910.499 +0.1051 +0.0145 29019 pg 0 -"- 37916.343 +0.0935 +0.0029 29034 vis 0 Tsessevich (1966) 37917.545 +0.1244 +0.0338 29037 pg 0 Huth (1966) 37918.288 +0.0867 -0.0039 29039 vis 0 Tsessevich (1966) 37923.377 +0.1009 +0.0102 29052 vis 0 -"- 37925.322 +0.0941 +0.0034 29057 vis 0 -"- 37932.347 +0.0924 +0.0016 29075 vis 0 -"- 37939.374: +0.0928: +0.0019: 29093 vis 0 -"- 37943.271 +0.0861 -0.0048 29103 vis 0 -"- 1963 38268.487 +0.1256 +0.0299 29936 pg 0 Huth (1966) 38286.422 +0.1036 +0.0077 29982 pg 0 -"- 38288.403 +0.1328 +0.0368 29987 pg 0 -"- 38293.8375 +0.1021 +0.0061 30001 pe 3 Paczynski (1965) 38324.325 +0.1409 +0.0444 30079 pg 0 Huth (1966) 38340.681 +0.1015 +0.0047 30121 pe 3 Fitch et al. (1966) 1964 38592.502 +0.1351 +0.0345 30766 pg 0 Huth (1966) 38619.8013 +0.1086 +0.0077 30836 pe 3 Sturch (1966) 38642.464 +0.1300 +0.0287 30894 pg 0 Huth (1966) 38651.4215 +0.1090 +0.0076 30917 pe 3 Jones (1966) 38651.437 +0.1245 +0.0231 30917 pg 0 Huth (1966) 38658.839 +0.1095 +0.0080 30936 pe 3 Fitch et al. (1966) 38686.549 +0.1034 +0.0014 31007 pg 2 Harding, Penston (1966) 38703.723 +0.1012 -0.0010 31051 pe 3 Fitch et al. (1966) 1965 39023.446 +0.1127 +0.0056 31870 pg 0 Huth (1966) 39025.395 +0.1099 +0.0027 31875 pg 0 -"- 39034.398 +0.1344 +0.0271 31898 pg 0 -"- 39055.459 +0.1156 +0.0079 31952 vis 0 Braune, Hübscher (1967) 39057.420 +0.1247 +0.0170 31957 vis 0 -"- 39059.351 +0.1039 -0.0038 31962 pg 0 Huth (1966) 39059.361: +0.1139: +0.0062: 31962 vis 0 Braune, Hübscher (1967) 39061.322 +0.1230 +0.0153 31967 vis 0 -"- 39063.278: +0.1272: +0.0194: 31972 vis 0 -"- 1966 39403.283 +0.1216 +0.0085 32843 vis 0 Braune et al. (1970) 39406.4055 +0.1212 +0.0080 32851 vis 0 -"- 1969 40506.4775 +0.1360 +0.0044 35669 pe 3 present paper 1970 40836.340 +0.1375 0.0000 36514 vis 0 Braune et al. (1972) 40848.445 +0.1411 +0.0034 36545 vis 0 -"- 40859.378 +0.1438 +0.0059 36573 vis 0 -"- 1971 41131.854 +0.1429 +0.0001 37271 pe 3 Penston(1973) 41233.350 +0.1432 -0.0015 37531 vis 0 Braune et al. (1972) 41240.375 +0.1416 -0.0032 37549 vis 0 -"- 41249.358 +0.1461 +0.0012 37572 vis 0 -"- Table 8 (cont.) year J.D.max.hel. O-C_1 O-C_2 E method w Reference 1971 2441267.317 +0.1482 +0.0029 37618 vis 0 Braune et al. (1972) 1972 41566.340 +0.1493 -0.0016 38384 vis 0 Braune, Mundry (1973) 41576.499 +0.1587 +0.0077 38410 vis 0 -"- 41589.3759 +0.1535 +0.0022 38443 pe 3 present paper 41598.3545 +0.1536 +0.0022 38466 vis 0 Braune, Mundry (1973) 41616.308 +0.1502 -0.0016 38512 vis 0 -"- 41650.270 +0.1501 -0.0023 38599 vis 0 -"- 41652.228 +0.1563 +0.0039 38604 vis 0 -"- 41657.297 +0.1505 -0.0020 38617 vis 0 -"- 41664.320 +0.1469 -0.0058 38635 vis 0 -"- 41682.297 +0.1670 +0.0140 38681 vis 0 -"- 1973 41931.340 +0.1551 -0.0026 39319 vis 0 Braune et al. (1977) 41963.3545 +0.1595 +0.0011 39401 pe 3 present paper 41981.307 +0.1550 -0.0037 39447 vis 0 Braune et al. (1977) 41990.290 +0.1596 +0.0007 39470 vis 0 -"- 42008.251 +0.1636 +0.0044 39516 vis 0 -"- 42047.284 +0.1598 -0.0001 39616 vis 0 -"- 1974 42272.534 +0.1675 +0.0031 40193 vis 0 -"- 1975 42414.231 +0.1609 -0.0063 40556 vis 0 -"- 42632.448 +0.1621 -0.0094 41115 vis 0 Braune et al. (1981) 42641.449 +0.1847 +0.0130 41138 vis 0 -"- 42664.469 +0.1729 +0.0008 41197 vis 0 Braune et al. (1979) 1976 43019.312 +0.1714 -0.0079 42106 vis 0 -"- 43074.370 +0.1875 +0.0071 42247 vis 0 -"- 1977 43391.344 +0.1826 -0.0044 43059 vis 0 -"- 43400.324 +0.1842 -0.0030 43082 vis 0 -"- 43414.375 +0.1819 -0.0056 43118 vis 0 Braune et al. (1981) 1978 43722.3850 +0.1915 -0.0025 43907 pe 3 present paper 43765.3261 +0.1921 -0.0028 44017 pe 3 -"- 43790.321 +0.2035 +0.0080 44081 vis 0 Braune et al. (1981) 43795.388 +0.1957 +0.0001 44094 vis 0 -"- 1979 44133.4508 +0.1998 -0.0031 44960 pe 3 present paper 1980 44545.300 +0.2107 -0.0013 46015 vis 0 Braune, Mundry (1981) 1981 44879.460 +0.2156 -0.0039 46871 vis 0 Braune, Mundry (1982) 44886.483 +0.2120 -0.0076 46889 vis 0 -"- 1982 45230.4074 +0.2222 -0.0054 47770 pe 3 present paper 45280.3785 +0.2261 -0.0026 47898 vis 0 Braune et al. (1983) 1983 45561.450 +0.2326 -0.0026 48618 vis 0 Hübscher, Mundry (1984) 45566.5223 +0.2302 -0.0052 48631 pe 3 present paper 45622.3449 +0.2301 -0.0066 48774 pe 3 -"- 45645.385 +0.2385 +0.0013 48833 vis 0 Hübscher, Mundry (1984) The investigation of the period changes of AV Peg has a long history. Steinman (1958) was the first to notice that the period was increasing. In his formula Tsessevich (1964) had already given a possible quadratic term: J.D.max.hel. = 2426582.3035 + 0.39036805d*E + 1.12*10^(-10)d*E^2, which means that according to him, the period of AV Peg has been increasing by 2.24*10^(-10) day/cycle = 0.018 sec/year. In order to investigate the period changes of the star in more detail we listed the published maxima in Table 8 with some exceptions (see above). The O-C_1 values have been calculated with the formula: C_1 = J.D.max.hel. = 2426582.3035 + 0.39036805d*E A second order least squares solution to the O-C_1 values yields the following elements with quadratic term: C_2 = J.D.max.hel. = 2426582.3099 + 0.39036827d*E + 0.923*10^(-10)d*E^2 +-.0010 +-.00000007 +-.015 Figure 9a: O-C_1 diagram of AV Peg The systematic deviations of the O-C_2 values from the C_2-C_1 parabola show that a cyclic variation is superposed on the linear period change. But we can assume that the period of the star has changed at a rate of (1.846 +- 0.030)*10^(-10) day/cycle = (0.01492 +- 0.00024) sec/year during the past 50 years. Figure 9b: O-C_2 diagram of AV Peg Balázs (1934) found no light curve changes in her photographic material, and there is no indication for it in the literature. Nevertheless our photographic material suggests that a small variation in the heights of maxima may occur. Our photoelectric observations definitely show that real changes of the light curve are present. The changes are especially conspicious on the rising branches. The variation in the height of maximum probably does not exceed 0.05 magnitude. TU URSAE MAIORIS This relatively bright RR Lyrae type variable (TU UMa = BD +30 2162 (8.7) = 1.1929) was discovered by Guthnick and Prager (1929) on Babelsberg plates. They determined the type of variability and gave the preliminary elements (Prager, 1929): J.D.max.hel. = 2425006.480 + 0.557650d*E Subsequently the star was studied visually by Kukarkin (1929, 1940), Jacchia (1929, 1931), Tsessevich (1930, 1966, 1974), Mustel (1934), Soloviev (1935., b, c, 1936a, e, 1939), Dombrovsky (1936), Ahnert (1959), Oburka (1967), Berdnikov (1973, 1977), Blasberg (1981) and by members of the BAV group (Braune and Mundry, 1973, 1982; Braune, Hübscher and Mundry, 1970, 1977, 1979, 1981, 1983; and Pohl, 1955). Robinson (1933) investigated the star on old Harvard photographs taken before its discovery and determined a time of maximum light for the year 1914. In this way he lengthened the time interval by 15 years and could derive very accurate elements of light variation: J.D.max.hel. = 2420160.447 + 0.55765826d*E +-.003 +-.00000047 which value was slightly corrected by Soloviev (1939): J.D.max.hel. = 2425760.451 + 0.5576588d*E Poehnitzsch (1951) investigated the star on 322 Sonneberg patrol plates made in 1929-1950. He found no noticeable change in the period of TU UMa and derived essentially the same elements obtained by Soloviev: J.D.max.hel. = 2425760.451 + 0.5576593d*E At the same time Silva (1951) supplemented the previous observations with his own visual observations and made a thorough investigation of the period changes of TU UMa. He found that the period was decreasing at a rate of 0.806*10^(-9) day/cycle = 0.0456 sec/year and the times of heliocentric maximum can be obtained by the formula: J.D.max.hel. = 2425760.441 + 0.557665d*E - 4.03*10^(-10)d*E^2 Photographic maxima were published by Payne-Gaposchkin (1954) and Alania (1954). Boenigk (1957) carried out photographic photometry of the star in order to study its colour variations. The photographic observations were published and made the determination of a time of light maximum possible. The star has been photoelectrically observed since 1957. Using these observations the period changes of the star can be studied in detail. Geyer (1961), Preston et al. (1961), Preston and Paczynski (1964), Fitch et al. (1966) and Sturch (1966) made UBV observations. Fitch et al. (1966) and Geyer (1961) each published a maximum, but from Fitch et al.'s data another time of light maximum could be determined. The excellent and very accurate observations of Preston et al. (1961) and Preston and Paczynski (1964) made the determination of three new epochs possible. Sturch's (1966) observations were somewhat unluckily distributed in phase and could not be used for timing the maximum. Figure 10: Light curves of TU UMa Epstein (1969) and Butler et al. (1982) carried out their photometry in the uvby system. The observations of Epstein were lacking at maximum so no time of maximum could be deduced from these data. Fortunately, Butler et al, observed the star around the light maximum and we were able to determine a time of maximum from their observations. Photoelectric observations of TU UMa were commenced at Konkoly Observatory in 1957. First the photometry was carried out in integrated light, but since 1958 the observations have been obtained in the UBV system. As the comparison star we used BD +30 2165 (8.4) (V = 8.97, B-V = +0.51, U-B = +0.05 adopted from Geyer, 1961; or V = 8.941, B-V = +0.558, U-B = +0.067 taken from Sturch, 1966). The photoelectric observations made at Konkoly Observatory are given in Table 14a-d in the sense: variable minus BD +30 2165, and are plotted against phase in Figure 10. The time of maximum light is chosen as phase 0. Although the period of TU UMa is nearly the same as the period of RR Lyrae, there is no evidence of Blazhko effect in TU UMa which is very striking in RR Lyrae. The small differences in the height of maximum light (especially in blue light) are rather a consequence of the error in transformation into the UBV system. The times of light maxima published or derived from observations are collected and listed in Table 9. The photoelectric and photographic maxima are taken into account using the weightings 3 and 2, respectively, while for the early visual observations w=1 was used. The visual observations made since 1957 (the first photoelectric observations) are not included in the study of period changes. A least squares solution led to the linear elements: C_1 = J.D.max.hel. = 2425760.4559 + 0.55765860d*E +-.0021 +-.00000011 or the second oder approximation yields: C_2 = J.D.max.hel. = 2425760.4519 + 0.55765962d*E - 0.355*10^(-1O)d*E^2 +-.0020 +-.00000020 +-.061 During the course of the last 70 years the period of TU UMa has decreased at a rate of 0.710*10^(-10) day/cycle = 0.0040 see/year. The O-C_1 and O-C_2 values are also given in Table 9 and are plotted against epoch number in Figure 11a,b. Cycles with a length of 23 years may be superimposed in the parabola. This may be a consequence of the duplicity of the star. Table 9 year J.D.max.hel. O-C_1 O-C_2 E method w Reference 1914 2420160.447 -0.0012 +0.0166 -10042 pgN 2 Robinson (1933) 1927 25006.480 -0.0215 -0.0160 - 1352 pgN 2 Guthnick, Prager (1929) 1929 25732.544 -0.0290 -0.0249 - 50 visN 1 Kukarkin (1929) 25760.450 -0.0059 -0.0019 0 visN 1 Jacchia (1929) 1930 26066.595 -0.0155 -0.0120 + 549 visN 1 Tsessevich (1966) 1933 27248.291 +0.0020 +0.0035 2668 visN 1 Mustel (1934) 1934 27593.480 +0.0003 +0.0013 3287 visN 1 Soloviev (1935a, b) 27620.810 +0.0050 +0.0060 3336 visN 1 Dombrovsky (1936) 1935 27894.613 -0.0024 -0.0018 3827 visN 1 Soloviev (1935c) 1938 29040.610 +0.0062 +0.0054 5882 pgN 2 Payne-Gaposchkin (1954) 1946 32101.038 +0.0038 +0.0008 11370 visN 1 Silva (1951) 1952 34082.382 -0.0132 -0.0165 14923 vis 1 Pohl (1955) 34091.311 -0.0067 -0.0100 14939 vis 1 -"- 34121.420 -0.0113 -0.0146 14993 vis 1 -"- 1953 34451.5555 -0.0097 -0.0130 15585 vis 1 -"- 34455.459 -0.0098 -0.0131 15592 vis 1 -"- 34478.322 -0.0108 -0.0141 15633 via 1 -"- 34478.345 +0.0122 +0.0089 15633 pgN 2 Alania (1954) 34484.4605 -0.0065 -0.0098 15644 vis 1 Pohl (1955) 34498.400 -0.0085 -0.0118 15669 vis 1 -"- 1957 35925.4628 +0.0059 +0.0032 18228 pe 3 present paper 35934.3850 +0.0056 +0.0028 18244 pe 3 -"- 35955.572 +0.0016 -0.0012 18282 pgN 2 Boenigk (1957) 35963.3834 +0.0058 +0.0030 18296 pe 3 present paper 35992.3810 +0.0051 +0.0023 18348 pe 3 -"- 1958 36230.5029 +0.0068 +0.0041 18775 pe 3 -"- 36231.6175 +0.0061 +0.0034 18777 pe 3 -"- 36264.5207 +0.0074 +0.0048 18836 pe 3 -"- 36278.4617 +0.0069 +0.0043 18861 pe 3 -"- 36288.5010 +0.0084 +0.0058 18879 pe 3 -"- 1959 36604.6944 +0.0094 +0.0070 19446 pe 3 -"- 36611.3818 +0.0049 +0.0025 19458 pe 3 Geyer (1961) 36659.357 +0.0214 +0.0191 19544 vis 0 Ahnert (1959) 36674.9590 +0.0090 +0.0066 19572 pe 3 Preston et al. (1961) 36677.7450 +0.0067 +0.0043 19577 pe 3 -"- 1963 38038.9910 +0.0080 +0.0068 22018 pe 3 Preston, Paczynski (1964) 1964 38510.755 -0.0071 -0.0079 22864 pe 3 Fitch et al. (1966) 38516.3843 +0.0456 +0.0448 22874 vis 0 Oburka (1967) 38532.529 +0.0182 +0.0174 22903 vis 0 -"- 38544.774 -0.0053 -0.0060 22925 pe 3 Fitch et al. (1966) 1966 39233.468: -0.0197: -0.0196: 24160 vis 0 Braune et al. (1970) 39266.4555 +0.0660 +0.0661 24219 vis 0 -"- 1972 41376.549 -0.0207 -0.0174 28003 visN 0 Berdnikov (1977) 41394.3875 -0.0273 -0.0240 28035 vis 0 Braune, Mundry (1973) 41395.502 -0.0281 -0.0248 28037 vis 0 -"- 1973 41766.352 -0.0210 -0.0171 28702 vis 0 Braune et al. (1977) 41776.388 -0.0229 -0.0189 28720 vis 0 -"- 41781.411 -0.0188 -0.0148 28729 vis 0 -"- 41805.369 -0.0401 -0.0361 28772 vis 0 Tsessevich (1974) 1975 42521.417 -0.0258 -0.0204 30056 vis 0 Braune et al. (1977) 42530.351 -0.0143 -0.0089 30072 vis 0 -"- 1976 (42822.495 -0.0834 -0.0774 30596 pe 0) Braune et al. (1979) 42835.387 -0.0176 -0.0115 30619 vis 0 -"- 42840.387 -0.0365 -0.0304 30628 vis 0 -"- Table 9 (cont.) year J.D.max.hel. O-C_1 O-C_2 E method w Reference 1976 2442840.414 -0.0095 -0.0034 30628 pe 3 Braune et al. (1979) 42859.373 -0.0109 -0.0048 30662 vis 0 -"- 42869.402 -0.0197 -0.0136 30680 vis 0 -"- 42899.519 -0.0163 -0.0101 30734 vis 0 -"- 42954.729 -0.0145 -0.0082 30833 pe 3 Butler et al. (1982) 1979 43954.6141 -0.0113 -0.0028 32626 pe 3 present paper 43977.488 -0.0014 +0.0072 32667 vis 0 Braune et al. (1981) 1980 44364.4777 -0.0268 -0.0173 33361 visN 0 Blasberg (1981) 1981 44717.491 -0.0113 -0.0010 33994 vis 0 Braune, Mundry (1982) 1983 45403.432: +0.0096 +0.0217 35224 vis 0 Braune et al. (1983) 45471.4485 -0.0083 +0.0040 35346 pe 3 present paper Figure 11a: O-C_1 diagram of TU UMa Figure 11b: O-C_2 diagram of TU UMa CONCLUSIONS In our previous paper (Oláh and Szeidl, 1978) and here we have discussed the period changes of a total of nine RR Lyrae type variable stars (AT And, SU Dra, TW Her, VZ Her, RR Leo, TT Lyn, AV Peg, AR Per and TU UMa). Table 10 summarizes the most important results on period changes. Table 10 Parameters of period changes star period Delta s period changes time base remark AV Peg 0.390d 0 (+4.73+-0.08)*10^(-1O)day/day 75*10^3*P_AV cyclic var. TW Her 0.400d 2 constant 65*10^3*P_TW AR Per 0.426d 0 (+0.55+-0.07)*10^(-10)day/day 63*10^3*P_AR VZ Her 0.440d 4 (+2.60+-0.05)*10^(-10)day/day 50*10^3*P_VZ RR Leo 0.452d 8 (+8.68+-0.57)*10^(-10)day/day 55*10^3*P_RR cyclic var. TU UMa 0.558d 6 (-1.273-0.22)*10^(-10)day/day 45*10^3*P_TU cyclic var. TT Lyn 0.597d 10 constant 11*10^3*P_TT AT And 0.617d 3 abrupt: +710*10^(-8) and 43*10^3*P_AT -544*10^(-8) days SU Dra 0.660d 10 constant 40*10^3*P_SU fluctuations Even though it is untimely to conclude on any trend of changes in the periods from the few observational data, nevertheless it is striking that there is only one decreasing period. It is worth mentioning that there are cyclic variations superimposed on the parabolic O-C diagrams of three stars: RR Leo, AV Peg and TU UMa, and the cycle lengths are 25000 P_RR ~=11300 days ~= 31 years; 60000 P_AV ~=23400 days ~=64 years and 15000 P_TU ~= 8400 days ~= 23 years, respectively (see Figure 8 in the paper of Oláh and Szeidl, 1978, and Figures 9b and 11b of this paper). The very long cyclic variations can probably be explained by the duplicity of these stars (Coutts, 1971), but random fluctuations of cumulative nature in the periods may also present an explanation (Balázs and Detre, 1965). Acknowledgements: We are grateful to the late director of Konkoly Observatory, Prof. László Detre, who drew to our attention the problem of period changes of RR Lyrae stars. We are especially grateful that we have his large volume of observations at our disposal. Special thanks go to our colleagues, Drs. G. Paál and L. Csank who played a major role in carrying out the observational work. Thanks are also due to other colleagues for telescope assistance and especially to J. Márton for helping us with the data reduction. It is also a pleasure to acknowledge those concerned with the preparation of the manuscript. Budapest - Szabadsághegy, 25 November, 1986 REFERENCES Ahnert, P., 1959, Mitt. Verand. Sterne Nr. 420 1960, ibid. Nr. 438 1967, ibid. 4.138 1970, ibid. 5.112 1971, ibid. 6.9 Alania, I.F., 1954, Astr. Circ. 146.14 1956, ibid. 173.20 Balázs, J., 1934, Astron. Nachrichten 254.75 1936, ibid. 258.305 Balázs, J. and Detre, L., 1965, Kleine Veröff. Bamberg 4. (Nr. 40) 184 Batyrev, A.A., 1950, Per. Zvezdy 7.243 1951a, ibid. 8.161 1951b, ibid. 8.284 Berdnikov, L.N., 1973, Astron. Cirk. 764.6 1977, Per. Zvezdy Prilozhenie 3.329 Blasberg, H.-J., 1981, Mitt. Verand. Sterne 9.82 Boenigk, T., 1957, Acta Astron. 8.13 Bogdanov, M.B., 1972, Per. Zvezdy Prilozhenie 1.309 Braune, W, and Hübscher, J., 1967, Astron. Nachrichten 290.105 Braune, W., Hübscher, J, and Mundry, E., 1970, Astron. Nachrichten 292.185 1972, ibid. 294.123 1977, ibid. 298.121 1979, ibid. 300.165 1981, ibid. 302.53 1983, BAV Mitteilungen Nr. 36 Braune, W. and Mundry, E., 1973, Astron. Nachrichten 294.225 1981, BAV Mitteilungen Nr. 32 1982, ibid. Nr. 34 Butler, D., Manduca, A., Deming, D, and Bell, R.A., 1982, Astron. J. 87.640 Cannon, A.J., 1910, Astron. Nachrichten 185.251; Harvard Circ. No. 159 Coutts, C.M., 1971, Veröff. Bamberg 9. (Nr. 100) 238 Derivyagin, V.G., Firmanyuk, B.N. and Tsessevich, V.P., 1981, Astr. Circ. 1166.7 Dombrovsky, V., 1936, Tadjik Circ. No. 14.4 Domke, K, and Pohl, E., 1952, Astron. Nachrichten 281.113 Epstein, I., 1969, Astron. J. 74.1131 Fitch, W.S., Wisniewski, W.Z. and Johnson, H.L., 1966, Comm. Lunar and Planetary Lab, vol. 5. Part 2. (No. 71) Florja, N., 1932, Per. Zvezdy 4.24 1933, Tashkent Publ. 4.(2) 35 1934a, Leningrad Bull. 4.9 1934b, Tashkent Circ. No. 27.2 Geyer, E., 1961, Zeitschrift fr Astrophysik 52.229 Grigor'ev, P., 1975, Per. Zvezdy Prilozhenie 2.291 Guthnick, P.,and Prager, R., 1929, Beob. Zirk. 11.32 Haas, J., 1926, Astron. Nachrichten 228.81 Hardie, R.H., 1962, Photoelectric Reduction in: Astronomical Techniques, Stars and Stellar Systems Vol.2. Ed. W.A. Hiltner, p. 178 Harding, G.A. and Penston, M.J., 1966, Roy. Obs. Bull. No. 115 Hoffmeister, C., 1922, Astron. Nachrichten 218.313 1927, ibid. 230.121 1931, ibid. 242.129 Huth, H., 1966, Mitt. Verand. Sterne 3.167 Hübscher, J. and Mundry, E., 1984, BAV Mitteilungen Nr. 38 Jacchia, L., 1929, Beob. Zirk. 11.82 1931, Astron. Nachrichten 241.385 Jones, D.H.P., 1966, Roy. Obs. Bull. No. 112 Kukarkin, B.V., 1929, Per. Zvezdy 1.No. 12 1940, ibid. 5.293 Lange, G.A., 1938, Tadjik Ann. 1 (Part 2.) 5 1959, Astr. Circ. 207.17 1960, ibid. 216.27 1961, ibid. 225.15 Leiner, E., 1920, Beob. Zirk. 2 (Nr. 13) 20; (Nr. 24) 38; Astron. Nachrichten 212,209 Mustel, E., 1934, Per. Zvezdy 4.277 Nachapkin, V., 1938, Tadjik Circ. No. 35.2 Oburka, 0., 1967, Brno Contr. No. 5 Okunev, B., 1933, Leningrad Obs. Bull. No. 2 Oláh, K. and Szeidl, B., 1978, Mitt. Sternwarte d. Ung. Akad. d. Wiss. Nr. 71 Paczynski, B., 1965, Acta Astron. 15.103 Parenago, P.P., 1947, Per. Zvezdy 6.214 Payne-Gaposchkin, C., 1954, Harvard Ann. 113. No. 3 Penston, M.J., 1973, RAS Monthly Notices 164.133 Poehnitzsch, H., 1951, Mitt. Verand. Sterne Nr. 130 Pohl, E., 1955, Astron. Nachrichten 282.235 Prager, R., 1929, Kleinere Veröff. Berlin-Babelsberg Nr. 6.33 Preston, G.W. and Paczynski, B., 1964, Astrophys. J. 140.181 Preston, G.W., Spinrad, H. and Varsavski, C.M., 1961, Astrophys. J. 133.484 Robinson, L.V., 1933, Harvard Ann. 90. No. 2 Sacharov, V.S., 1964, Per. Zvezdy 15.97 Silva, E.C., 1951, Bull. Ass. Francaise Etoiles Variables vol. 11. Fasc. 1.3 Soloviev, A.V., 1935a, Tadjik Circ. No. 3.2 1935b, Per. Zvezdy 4.377 1935c, Tadjik Circ. No. 10.1 1935d, Per. Zvezdy 5.16 1936a, ibid. 5.77 1936b, Tadjik Circ. No. 15.2 1936c, ibid. No. 16.1 1936d, ibid. No. 17.2 1936e, ibid. No. 17.6 1936f, ibid. No. 18.3 1937, ibid. No. 31.3 1939, ibid. No. 41.2 1941, Tadjik Trudy 1.3 Soloviev, A.V, and Shakhovskoj, N.M., 1958, Tadjik Trudy 7.45 Steinman, G.S., 1958, Astr. Circ. 190.23 Stepien, K., 1972, Acts. Astronomica 22.175 Strohmeier, W. and Bauernfeind, H., 1968, Bamberg Veröff. 7. Nr. 77 Sturch, C., 1966, Astrophys. J. 143.774 Tsessevich, V.P., 1926, Astron. Nachrichten 229.221 1930, Beob. Zirk. 12.77 1943, Astr. Circ. 23.5 1948, Odessa Izv. 1.2.46 1957, Astr. Circ. 181.21 1964, ibid. 295.3 1966, RR Lyrae Type Stars, Izd. Naukova Dumka, Kiev (in Russian) 1975, Astr. Circ. 811.1 Wenske, K., 1981, BAV Rundbrief 30 (3) 52 Wolf, M., 1919, Astron. Nachrichten 209.237 Zinner, E., 1922, Astron. Abhandl. Erganzungshefte zu AN 4 (Nr. 3) C1 Table 11a Photoelectric yellow observations of TW Her J.D. Delta V J.D. Delta V J.D. Delta V J.D. Delta V 2436756 2436758 2436761 2436776 .4026 +0.232 .4110 -0.028 .4257 +1.022 .3974 -0.013 .4074 +0.062 .4124 .029 .4284 1.031 .4004 +0.009 .4153 -0.067 .4138 -0.019 .4312 1.035 .4011 .010 .4234 0.000 .4173 +0.020 .4382 1.020 .4018 .004 .4255 +0.022 .4188 .013 .4444 1.036 .4032 .003 .4279 .041 .4216 .029 .4472 +1.040 .4086 .046 .4335 .108 .4271 +0.066 .4096 .067 .4363 .123 2436776 .4107 .093 .4390 .132 2436760 .3547 +1.225 .4117 .098 .4446 .166 .3591 +1.253 .3554 1.216 .4128 .122 .4474 .179 .3632 1.256 .3569 1.209 .4138 .121 .4502 .190 .3653 1.250 .3573 1.186 .4147 +0.129 .4585 .264 .3740 1.145 .3596 1.189 .4613 .285 .3761 1.112 .3608 1.170 2440419 .4668 .321 .3802 1.013 .3617 1.172 .5137 +1.172 .4696 .379 .3823 0.977 .3638 1.128 .5151 1.144 .4890 .516 .3844 .868 .3650 1.054 .5177 1.057 .4918 .538 .3886 .701 .3659 1.057 .5190 1.016 .5002 .576 .3907 .625 .3687 0.930 .5209 0.896 .5029 .570 .3927 .566 .3694 .873 .5218 .880 .5057 .589 .3969 .320 .3701 .813 .5227 .854 .5113 .632 .3990 +0.212 .3707 .767 .5246 .766 .5140 .653 .4052 -0.004 .3714 .738 .5255 .717 .5168 .691 .4073 .031 .3721 .719 .5264 .652 .5224 .732 .4094 .031 .3745 .656 .5283 .608 .5244 .739 .4136 .047 .3752 .627 .5292 .523 .5257 .756 .4157 .010 .3758 .609 .5302 .506 .5299 .784 .4177 -0.002 .3765 .567 .5321 .464 .5313 .791 .4226 +0.031 .3772 .528 .5330 .394 .5327 .807 .3779 .489 .5338 .379 .5355 .809 2436761 .3786 .452 .5357 .199 .5369 .812 .3649 +0.913 .3807 .331 .5366 .190 .5382 .810 .3670 .931 .3814 .283 .5375 .099 .5410 .805 .3712 .921 .3821 .217 .5399 .037 .5424 +0.804 .3732 .948 .3828 .201 .5408 +0.015 .3753 .919 .3835 .140 .5417 -0.029 2436758 .3795 .935 .3842 .124 .5436 .042 .3789 +1.053 .3816 .962 .3849 .105 .5445 .036 .3819 1.032 .3837 .963 .3872 .033 .5454 .041 .3858 0.924 .3878 .954 .3879 .005 .5475 .071 .3895 .774 .3899 .961 .3886 +0.010 .5484 .060 .3909 .717 .3920 .979 .3890 -0.020 .5493 .061 .3937 .550 .3962 .991 .3900 .026 .5519 .022 .3951 .517 .3982 1.011 .3907 .032 .5533 .028 .3965 .466 .4003 1.020 .3914 .021 .5547 -0.011 .3992 .309 .4045 1.053 .3932 .030 .5568 +0.003 .4006 .210 .4066 1.055 .3939 .030 .5582 .002 .4020 .121 .4087 1.059 .3946 .016 .5596 +0.008 .4055 +0.013 .4146 1.065 .3953 .016 .4069 -0.008 .4173 1.036 .3960 .016 2443717 .4083 -0.018 .4201 +1.051 .3967 -0.001 .3949 +0.262 Table 11a (cont.) J.D. Delta V J.D. Delta V J.D. Delta V J.D. Delta V 2443717 2443717 2443755 2445546 .3976 +1.276 .4508 +0.042 .4061 -0.050 .4255 +0.018 .3990 1.299 .4528 .055 .4090 .042 .4268 .031 .4018 1.259 .4535 .050 .4102 .058 .4318 .039 .4032 1.296 .4556 +0.046 .4129 .022 .4332 .058 .4060 1.235 .4143 -0.010 .4345 .065 .4074 1.265 2443755 .4358 .092 .4185 1.024 .3558 +1.236 2445546 .4372 .129 .4199 0.972 .3595 1.220 .3868 +0.963 .4423 .183 .4223 .862 .3612 1.242 .3881 .893 .4436 .217 .4230 .773 .3643 1.210 .3895 .866 .4450 .223 .4251 .671 .3662 1.207 .3908 .777 .4463 .221 .4258 .670 .3689 1.165 .3921 .743 .4476 .229 .4278 .487 .3705 1.166 .3977 .427 .4530 .218 .4285 .460 .3770 1.020 .3990 .349 .4543 .206 .4313 .280 .3784 0.964 .4004 .239 .4556 .234 .4341 .223 .3819 .854 .4017 +0.164 .4570 .233 .4369 +0.038 .3838 .801 .4113 -0.035 .4583 .280 .4390 -0.012 .3866 .651 .4126 .051 .4639 .338 .4417 .045 .3912 .486 .4139 .073 .4652 .344 .4424 .041 .3926 .428 .4153 .063 .4666 .341 .4445 .039 .3957 .246 .4215 .046 .4679 .368 .4452 .044 .3973 .130 .4228 .037 .4692 +0.415 .4473 -0.032 .4002 +0.015 .4241 -0.007 Table 11b Photoelectric blue observations of TW Her J.D. Delta B J.D. Delta B J.D. Delta B J.D. Delta B 2436756 2436756 2436758 2436758 .4015 +0.203 .4821 +0.461 .3778 +1.267 .4257 -0.081 .4061 -0.065 .4877 .511 .3812 1.218 .4085 .148 .4904 .545 .3828 1.152 2436760 .4146 .198 .4988 .582 .3848 1.037 .3580 +1.468 .4160 .210 .5043 .614 .3888 0.871 .3622 1.486 .4224 .173 .5099 .668 .3902 .766 .3642 1.494 .4245 .116 .5127 .694 .3930 .615 .3709 1.420 .4265 .089 .5154 .725 .3944 .528 .3729 1.365 .4321 .035 .5210 .756 .3958 .469 .3750 1.333 .4349 .021 .5237 .771 .3985 .288 .3792 1.202 .4377 -0.016 .5251 .795 .3999 .206 .3813 1.159 .4432 +0.025 .5288 .816 .4013 +0.091 .3834 1.042 .4488 .086 .5306 .829 .4048 -0.101 .3875 0.778 .4543 .139 .5320 .844 .4062 .158 .3896 .681 .4571 .180 .5348 .856 .4076 .178 .3917 .592 .4599 .203 .5362 .863 .4103 .205 .3959 .328 .4654 .250 .5376 .855 .4117 .200 .3979 .178 .4682 .299 .5403 .882 .4131 .184 .4000 +0.030 .4710 .342 .5417 +0.864 .4166 .174 .4042 -0.150 .4765 .399 .4180 .139 .4063 .187 .4793 +0.447 2436758 .4202 -0.125 .4084 -0.201 Table 11b (cont.) J.D. Delta B J.D. Delta B J.D. Delta B J.D. Delta B 2436760 2440414 2443717 2443755 .4125 -0.184 .5250 +0.787 .4282 +0.487 .4138 -0.197 .4146 .187 .5259 .746 .4303 .346 .4167 .176 .5278 .632 .4310 .314 2445546 .4216 -0.126 .5287 .589 .4331 .178 .3872 +1.107 .5297 .552 .4338 .091 .3886 1.001 2436761 .5316 .454 .4358 +0.006 .3899 0.976 .3597 +1.053 .5325 .404 .4365 -0.057 .3912 .894 .3639 1.052 .5334 .272 .4386 .098 .3925 .852 .3660 1.054 .5352 .142 .4393 .170 .3981 .413 .3701 1.091 .5361 .100 .4414 .195 .3995 .289 .3722 1.103 .5370 +0.022 .4421 .223 .4008 .185 .3743 1.083 .5394 -0.113 .4442 .236 .4022 +0.095 .3784 1.092 .5403 .135 .4449 .257 .4117 -0.179 .3805 1.129 .5412 .189 .4469 .246 .4131 .261 .3826 1.120 .5431 .208 .4476 .239 .4144 .212 .3868 1.144 .5440 .209 .4497 .211 .4157 .227 .3889 1.156 .5449 .203 .4504 .201 .4219 .182 .3909 1.136 .5470 .207 .4525 .190 .4232 .209 .3951 1.165 .5479 .237 .4532 .161 .4246 .187 .3972 1.168 .5488 .225 .4553 .145 .4259 .128 .3993 1.174 .5512 .208 .4560 -0.137 .4273 .136 .4034 1.186 .5526 .193 .4322 .070 .4055 1.198 .5540 .186 2443755 .4336 .093 .4076 1.200 .5561 .147 .3550 +1.401 .4349 .088 .4159 1.216 .5575 .129 .3596 1.413 .4363 .053 .4187 1.212 .5589 -0.139 .3643 1.381 .4376 -0.003 .4243 1.194 .3690 1.342 .4427 +0.056 .4271 1.220 2443717 .3724 1.268 .4441 .071 .4298 1.208 .3928 +1.467 .3736 1.249 .4454 .094 .4368 1.243 .3969 1.490 .3764 1.222 .4467 .101 .4430 1.224 .3983 1.471 .3776 1.173 .4481 .087 .4508 +1.232 .4011 1.446 .3810 1.033 .4534 .104 .4025 1.466 .3830 0.919 .4547 .113 2440419 .4053 1.435 .3875 .658 .4561 .169 .5130 +1.339 .4067 1.422 .3905 .487 .4574 .188 .5144 1.337 .4178 1.144 .3919 .426 .4588 .193 .5171 1.215 .4192 1.070 .3952 .237 .4643 .244 .5186 1.144 .4219 0.915 .3966 +0.139 .4657 .289 .5204 1.022 .4226 .814 .3995 -0.013 .4669 .290 .5213 0.980 .4247 .730 .4046 .169 .4683 .323 .5222 .908 .4254 .620 .4061 .191 .4697 +0.373 .5241 +0.833 .4275 +0.555 .4124 -0.181 Table 11c Photoelectric uv observations of TW Her J.D. Delta U J.D. Delta U J.D. Delta U J.D. Delta U 2445546 2445546 2445546 2445546 .3877 +1.251 .3903 +1.035 .3930 +0.902 .3999 +0.430 .3890 +1.148 .3917 +1.073 .3985 +0.523 .4012 +0.324 Table 11c (cont.) J.D. Delta U J.D. Delta U J.D. Delta U J.D. Delta U 2445546 2445546 2445546 2445546 .4026 +0.210 .4250 -0.028 .4431 +0.260 .4579 +0.379 .4039 +0.145 .4263 -0.002 .4445 .302 .4592 .404 .4122 -0.106 .4277 +0.023 .4458 .304 .4648 .432 .4135 .140 .4327 .106 .4472 .310 .4661 .448 .4149 .108 .4340 .073 .4485 .308 .4674 .501 .4161 .072 .4354 .128 .4538 .276 .4688 .549 .4224 .058 .4367 .139 .4551 .337 .4701 +0.557 .4237 -0.048 .4380 +0.195 .4565 +0.374 Table 12a Photographic observations of VZ Her J.D. m_pg J.D. m_pg J.D. m_pg J.D. m_pg 2433427 2433475 2433836 2434154 .4037 12.22 .4061 12.19 .4892 11.06 .4653 10.79 .4058 12.10 .4102 11.92 .4921 10.79 .4684 10.77 .4078 12.03 .4123 11.96 .4947 10.81 .4099 12.07 .4144 11.64 .4976 10.52 2434605 .4120 12.02 .4165 11.66 .5003 10.24 .3126 10.06 .4141 11.90 .4186 11.39 .5031 10.25 .3154 10.06 .4169 11.71 .4206 11.08 .5060 10.04 .3182 9.98 .4190 11.69 .4227 10.92 .5086 9.97 .3209 10.04 .4210 11.44 .4248 10.92 .5115 10.06 .3237 10.05 .4231 11.17 .4304 10.39 .5142 9.98 .3265 10.08 .4252 11.22 .4324 10.34 .5170 10.06 .3293 10.02 .4273 11.01 .4345 10.23 .5198 10.17 .3320 10.04 .4294 10.84 .4408 10.09 .5281 10.14 .3376 10.18 .4328 10.57 .4429 10.07 .5336 10.23 .3487 10.29 .4349 10.65 .4449 10.06 .5392 10.42 .3515 10.32 .4405 10.28 .4470 10.02 .5421 10.51 .3543 10.35 .4426 10.16 .4512 10.10 .5448 10.55 .3584 10.47 .4467 10.03 .4533 10.27 .5475 10.52 .3626 10.57 .4488 10.13 .4554 10.34 .3653 10.56 .4508 10.27 .4575 10.24 2434154 .3682 10.64 .4530 10.16 .4595 10.24 .4246 10.34 .3709 10.64 .4572 10.42 .4616 10.32 .4288 10.26 .3737 10.60 .4613 10.45 .4637 10.45 .4309 10.26 .3793 10.65 .4634 10.46 .4658 10.38 .4329 10.33 .3848 10.78 .4655 10.53 .4679 10.43 .4350 10.45 .3876 10.73 .4696 10.51 .4699 10.59 .4392 10.44 .3904 10.77 .4717 10.57 .4720 10.48 .4413 10.40 .3932 10.74 .4759 10.70 .4741 10.62 .4434 10.47 .3959 10.87 .4762 10.63 .4454 10.56 .3987 10.86 2433475 .4783 10.64 .4475 10.52 .3852 12.23 .4804 10.63 .4496 10.56 2435339 .3894 12.20 .4538 10.69 .3197 11.20 .3956 12.24 2433836 .4559 10.67 .3218 11.11 .3977 12.29 .4810 11.84 .4580 10.65 .3260 11.01 .3998 12.29 .4836 11.55 .4600 10.75 .3281 10.59 .4040 12.12 .4865 11.57 .4621 10.67 .3302 10.48 Table 12a (cont.) J.D. m_pg J.D. m_pg J.D. m_pg J.D. m_pg 2435339 2435339 2435991 2435991 .3322 10.34 .3542 10.20 .4415 11.73 .4651 10.16 .3343 10.24 .4443 11.59 .4776 10.10 .3364 10.01 2435991 .4470 11.42 .4804 10.08 .3385 10.01 .4276 12.19 .4498 11.26 .4845 10.27 .3406 10.05 .4304 12.14 .4526 10.72 .4915 10.36 .3447 9.94 .4359 11.96 .4554 10.59 .4943 10.46 .3468 9.97 .4387 11.98 .4595 10.44 .4970 10.40 .3500 10.05 Table 12b Photoelectric yellow observations of VZ Her J.D. Delta V J.D. Delta V J.D. Delta V J.D. Delta V 2436363 2436364 2436399 2436420 .4645 +0.951 .4026 +0.499 .4501 +0.939 .3468 -0.244 .4674 0.982 .4075 .288 .4558 .929 .3521 .219 .4733 1.054 .4104 .182 .4586 .927 .3565 .189 .4762 1.040 .4137 +0.054 .4613 .925 .3596 .177 .4798 1.061 .4169 -0.059 .4666 .921 .3657 -0.135 .4849 1.055 .4190 .147 .4693 .918 .4878 1.063 .4211 .173 .4721 .905 2436728 .4935 1.083 .4233 .207 .4777 .922 .5196 +1.077 .4995 1.075 .4255 .222 .4804 .942 .5214 1.061 .5025 1.049 .4277 .212 .4832 .955 .5274 1.075 .5056 0.988 .4319 .196 .4888 .963 .5293 1.073 .5112 .944 .4342 .155 .4916 .963 .5335 1.055 .5146 .851 .4364 .132 .4943 .973 .5376 1.015 .5176 .721 .4386 .148 .4999 .961 .5429 0.883 .5234 .457 .4408 -0.141 .5027 .960 .5448 +0.880 .5265 .322 .5047 .978 .5295 +0.198 2436398 .5106 .933 2436758 .5357 -0.060 .3856 +0.138 .5131 +0.937 .4408 +0.999 .5386 .130 .3897 .198 .4453 1.058 .5418 .167 .3982 .261 2436405 .4475 1.052 .5480 .222 .4028 .254 .3474 +0.948 .4517 1.072 .5510 -0.202 .4061 .279 .3532 .492 .4537 1.043 .4117 .333 .3557 .323 .4633 1.073 2436364 .4143 .346 .3584 +0.144 .4656 1.063 .3584 +1.067 .4171 .385 .3613 -0.022 .4708 1.049 .3637 1.058 .4260 .445 .3657 .112 .4736 1.046 .3697 1.033 .4288 .440 .3687 .170 .4764 1.026 .3724 1.069 .4343 .484 .3784 .207 .4819 0.923 .3753 1.033 .4370 .497 .3916 .110 .4847 .881 .3801 1.053 .4458 .556 .3968 .052 .4875 .843 .3827 1.021 .4489 .561 .4024 .016 .4930 .573 .3855 0.985 .4517 +0.560 .4079 -0.014 .4945 .523 .3890 .965 .4959 .475 .3938 .870 2436399 2436420 .4992 .298 .3967 .741 .4441 +0.953 .3280 +0.295 .5006 .205 .3998 +0.633 .4469 +0.945 .3346 +0.029 .5022 +0.138 Table 12b (cont.) J.D. Delta V J.D. Delta V J.D. Delta V J.D. Delta V 2436758 2436807 2436808 2440418 .5056 +0.008 .3575 +0.946 .3895 +0.507 .5406 -0.137 .5070 -0.010 .3581 .936 .3910 .546 .5434 .123 .5084 .057 .3613 .871 .3956 .585 .5448 -0.122 .5119 .154 .3620 .845 .3971 .582 .5133 .166 .3627 .802 .4004 .612 2440419 .5154 .169 .3635 .798 .4020 .633 .3732 +0.828 .5188 .191 .3643 .763 .4036 .621 .3753 .716 .5209 .197 .3662 .720 .4069 +0.645 .3795 .606 .5260 .167 .3670 .692 .3816 .480 .5281 .146 .3678 .681 2440418 .3857 .230 .5302 .155 .3687 .668 .4733 +1.082 .3878 +0.152 .5354 .119 .3694 .649 .4747 1.067 .3920 -0.003 .5382 .084 .3714 .579 .4774 1.061 .3941 .081 .5409 .072 .3721 .526 .4788 1.056 .3982 .173 .5465 -0.020 .3728 .464 .4816 1.053 .4003 .207 .3735 .438 .4830 1.023 .4045 .200 2436760 .3743 .376 .4856 0.977 .4066 .191 .4624 +0.748 .3760 .290 .4865 .951 .4107 .181 .4645 .772 .3768 .244 .4883 .928 .4128 .176 .4690 .802 .3776 .253 .4892 .904 .4170 .166 .4711 .779 .3784 .198 .4913 .839 .4191 .158 .4732 .811 .3807 .060 .4923 .812 .4232 .152 .4773 .813 .3816 .047 .4941 .758 .4253 -0.127 .4854 .862 .3824 +0.036 .4950 .723 .4882 .902 .3831 -0.019 .4969 .668 2443721 .4910 .905 .3839 .031 .4978 .647 .3833 +1.008 .4924 .908 .3848 .066 .4997 .539 .3842 1.040 .4938 .913 .3868 .111 .5006 .440 .3861 1.009 .4975 .901 .3875 .135 .5024 .329 .3870 1.046 .5009 .898 .3883 .134 .5033 .315 .3898 0.990 .5030 .927 .3891 .155 .5052 .224 .3916 .992 .5176 .947 .3898 .168 .5062 .160 .3926 .962 .5197 .956 .3918 .191 .5080 .111 .3944 .915 .5259 .939 .3926 .183 .5089 .101 .3953 .913 .5280 .920 .3935 .191 .5108 +0.019 .3972 .917 .5343 .915 .3943 .191 .5117 -0.076 .3981 .877 .5405 .933 .3952 .175 .5135 .112 .4000 .789 .5426 +0.949 .3972 .206 .5145 .138 .4009 .748 .3980 .188 .5163 .154 .4027 .740 2436807 .3990 .202 .5173 .184 .4037 .672 .3423 +1.069 .3999 .190 .5191 .198 .4055 .596 .3443 1.068 .4041 .204 .5200 .202 .4064 .581 .3451 1.068 .4080 .171 .5219 .227 .4092 .452 .3459 1.060 .4123 -0.137 .5228 .228 .4111 .322 .3467 1.060 .5247 .233 .4120 .258 .3475 1.040 2436808 .5256 .224 .4139 .185 .3509 1.061 .3431 +0.219 .5274 .223 .4148 .167 .3517 1.053 .3466 .216 .5284 .214 .4166 .110 .3524 1.025 .3723 .393 .5309 .184 .4176 +0.063 .3532 1.043 .3814 .445 .5323 .185 .4194 -0.033 .3554 0.961 .3830 .471 .5351 .172 .4222 .137 .3561 .963 .3846 .487 .5365 .168 .4231 .154 .3568 +0.956 .3879 +0.489 .5392 -0.138 .4250 -0.202 Table 12b (cont.) J.D. Delta V J.D. Delta V J.D. Delta V J.D. Delta V 2443721 2443721 2443721 2443721 .4259 -0.208 .4314 -0.230 .4368 -0.244 .4423 -0.160 .4277 .209 .4333 .251 .4382 .219 .4451 .147 .4287 .222 .4342 -0.241 .4409 -0.169 .4465 -0.133 .4305 -0.223 Table 12c Photoelectric blue observations of VZ Her J.D. Delta B J.D. Delta B J.D. Delta B J.D. Delta B 2436363 2436364 2436399 2436728 .4628 +0.855 .4200 -0.590 .4791 +0.882 .5267 +0.916 .4660 .865 .4222 .620 .4818 .878 .5284 .904 .4720 .921 .4266 .653 .4874 .876 .5325 .897 .4747 .938 .4308 .619 .4902 .865 .5344 .898 .4778 .944 .4332 .609 .4929 .860 .5365 .871 .4834 .961 .4353 .606 .4985 .830 .5416 .767 .4863 .940 .4375 .610 .5013 .839 .5439 .731 .4920 .946 .4396 .598 .5037 .821 .5462 +0.590 .4979 .964 .4420 -0.552 .5096 .787 .5010 .955 .5117 .779 2436758 .5041 .893 2436398 .5145 +0.783 .4389 +0.880 .5097 .778 .3839 -0.196 .4442 .906 .5128 .686 .3879 .162 2436405 .4465 .946 .5161 .592 .3912 .086 .3488 +0.593 .4516 .962 .5219 .253 .3978 .056 .3545 .134 .4548 .952 .5249 +0.096 .4010 -0.011 .3571 +0.007 .4598 .965 .5280 -0.039 .4045 +0.025 .3598 -0.136 .4621 .965 .5341 .371 .4103 .062 .3628 .338 .4644 .953 .5371 .500 .4157 .113 .3672 .548 .4694 .922 .5403 .602 .4214 .134 .3695 .591 .4722 .915 .5464 .624 .4246 .151 .3759 .625 .4750 .901 .5496 -0.582 .4273 .188 .3863 .573 .4805 .824 .4329 .227 .3930 .505 .4833 .801 2436364 .4356 .239 .4038 .382 .4861 .744 .3570 +0.946 .4385 .274 .4093 -0.336 .4938 .365 .3624 .954 .4444 .305 .4952 .308 .3682 .974 .4475 .335 2436420 .4985 +0.079 .3711 .984 .4503 +0.348 .3292 -0.006 .4999 -0.012 .3787 .940 .3456 .622 .5013 .095 .3814 .909 2436399 .3480 .615 .5050 .270 .3841 .880 .4427 +0.870 .3505 .609 .5063 .370 .3869 .832 .4455 .866 .3549 .572 .5077 .408 .3924 .719 .4485 .878 .3581 .554 .5112 .515 .3952 .638 .4544 .857 .3612 .554 .5126 .579 .3983 .476 .4572 .857 .3672 -0.522 .5140 .584 .4012 .339 .4600 .848 .5181 .611 .4061 +0.066 .4652 .856 2436728 .5195 .618 .4089 -0.083 .4679 .836 .5186 +0.953 .5209 .605 .4119 .232 .4707 .832 .5205 .939 .5250 .595 .4153 -0.443 .4763 +0.857 .5249 +0.938 .5271 -0.571 Table 12c (cont.) J.D. Delta B J.D. Delta B J.D. Delta B J.D. Delta B 2436758 2436808 2440418 2443721 .5291 -0.551 .3903 +0.344 .5196 -0.637 .3865 +0.879 .5340 .518 .3935 .356 .5214 .655 .3884 .921 .5368 .482 .3964 .374 .5223 .650 .3893 .903 .5396 .477 .3997 .377 .5242 .667 .3912 .857 .5451 -0.414 .4012 .383 .5251 .664 .3921 .838 .4028 .398 .5270 .668 .3939 .827 2436760 .4063 +0.420 .5279 .652 .3949 .824 .4614 +0.641 .5302 .655 .3967 .778 .4634 .641 2440418 .5316 .641 .3977 .740 .4680 .679 .4728 +0.915 .5344 .623 .3995 .675 .4700 .677 .4740 .902 .5358 .624 .4004 .655 .4721 .687 .4767 .893 .5385 .612 .4023 .513 .4763 .738 .4781 .912 .5399 .583 .4032 .501 .4875 .761 .4809 .884 .5427 .567 .4051 .389 .4903 .764 .4823 .888 .5441 -0.542 .4060 .377 .4917 .766 .4851 .840 .4078 .316 .4931 .770 .4860 .761 2440419 .4088 .224 .4965 .768 .4878 .726 .3725 +0.648 .4106 .095 .4999 .775 .4887 .682 .3746 .567 .4115 +0.083 .5020 .779 .4909 .654 .3788 .394 .4134 -0.026 .5187 .846 .4918 .645 .3809 .218 .4143 .097 .5228 .874 .4937 .586 .3850 +0.002 .4162 .188 .5249 .867 .4946 .536 .3871 -0.111 .4171 .243 .5270 .869 .4964 .463 .3913 .346 .4189 .324 .5312 .870 .4973 .400 .3934 .465 .4199 .364 .5332 .855 .4992 .299 .3975 .601 .4217 .428 .5353 .848 .5001 .232 .3996 .656 .4227 .486 .5394 .831 .5020 .124 .4038 .676 .4245 .585 .5415 .815 .5029 +0.076 .4059 .682 .4273 .644 .5436 +0.821 .5048 -0.018 .4100 .676 .4282 .633 .5057 .056 .4121 .657 .4301 .605 2436808 .5075 .138 .4163 .617 .4310 .618 .3422 -0.099 .5084 .220 .4184 .609 .4328 .611 .3456 +0.061 .5103 .336 .4225 .564 .4338 .615 .3736 .214 .5112 .381 .4246 -0.517 .4375 .590 .3756 .232 .5131 .472 .4402 .586 .3805 .265 .5140 .519 2443721 .4416 .568 .3822 .273 .5158 .581 .3828 +0.912 .4444 .530 .3839 .275 .5167 .617 .3838 .891 .4458 -0.519 .3872 +0.296 .5187 -0.632 .3856 +0.897 Table 12d Photoelectric uv observations of VZ Her J.D. Delta U J.D. Delta U J.D. Delta U J.D. Delta U 2440419 2440419 2440419 2440419 .3718 +0.543 .3864 -0.173 .4031 -0.669 .4156 -0.671 .3759 .527 .3906 .317 .4052 .671 .4177 .630 .3781 .384 .3927 .380 .4093 .656 .4218 .504 .3802 +0.214 .3968 .631 .4114 -0.697 .4239 -0.501 .3843 -0.017 .3989 -0.655 Table 13a Photographic observations of AV Peg J.D. m_pg J.D. m_pg J.D. m_pg J.D. m_pg 2433884 2434600 2435343 2435393 .5414 10.89 .4768 11.10 .3941 9.73 .3878 10.13 .5441 10.67 .4796 11.00 .4024 9.63 .3941 10.31 .5462 10.36 .4823 10.94 .4079 9.65 .3961 10.29 .5482 10.41 .4851 10.84 .4135 9.69 .3982 10.28 .5524 10.21 .4879 10.50 .4163 9.72 .4107 10.45 .5546 10.13 .4907 10.63 .4191 9.85 .4128 10.52 .5566 10.02 .4935 10.27 .4218 9.92 .4170 10.46 .5587 10.10 .4962 10.20 .4246 9.86 .4189 10.54 .5607 10.05 .4990 10.10 .4274 9.95 .5629 9.84 .5018 9.95 .4302 9.96 2435395 .5670 9.85 .5046 10.07 .4329 10.15 .2895 10.79 .5711 9.91 .5073 9.81 .4357 10.16 .2916 10.68 .5733 9.89 .5101 9.86 .4385 10.13 .2937 10.44 .5753 10.06 .5129 9.75 .4413 10.23 .2957 10.37 .5775 10.00 .5157 9.86 .2978 10.35 .5795 10.15 .5185 9.80 2435393 .2999 10.15 .5817 10.21 .5240 9.94 .3378 10.48 .3041 9.92 .5837 10.11 .5268 10.02 .3390 10.50 .3062 9.86 .5858 10.22 .5296 10.00 .3420 10.42 .3082 9.78 .5323 9.90 .3441 10.27 .3103 9.67 2434598 .5351 9.98 .3461 10.26 .3124 9.73 .5461 10.29 .5379 10.07 .3503 9.96 .3166 9.85 .5489 10.09 .5407 10.16 .3524 10.07 .3187 9.87 .5517 9.91 .5435 10.30 .3545 10.03 .3207 9.84 .5572 9.84 .3566 9.73 .3228 9.85 .5600 9.73 2435343 .3586 9.76 .3249 10.03 .5628 9.74 .3538 11.18 .3607 9.81 .3270 10.02 .5656 9.65 .3566 11.22 .3628 9.74 .3291 10.13 .5684 9.83 .3593 10.90 .3649 9.85 .3312 10.19 .5711 9.71 .3621 10.93 .3670 9.79 .3353 10.18 .5739 9.95 .3649 10.60 .3691 9.93 .3374 10.12 .5795 9.89 .3732 10.42 .3711 9.87 .3395 10.19 .5822 10.07 .3760 10.32 .3753 9.95 .3416 10.37 .5850 10.11 .3788 10.17 .3795 9.98 .3437 10.36 .3885 9.79 .3836 10.07 .3499 10.45 2434600 .3913 9.69 .3857 10.11 .3582 10.65 .4740 11.25 Table 13b Photoelectric observations of AV Peg in integrated light J.D. Delta m J.D. Delta m J.D. Delta m J.D. Delta m 2435069 2435069 2435069 2435069 .3133 +1.356 .3208 +1.077 .3272 +0.880 .3332 +0.661 .3143 .342 .3219 .068 .3282 .866 .3341 .636 .3152 .307 .3228 .061 .3291 .843 .3351 .609 .3162 .276 .3236 1.026 .3299 .790 .3361 .564 .3176 +1.215 .3242 +0.984 .3305 +0.772 .3368 +0.535 Table 13b (cont.) J.D. Delta m J.D. Delta m J.D. Delta m J.D. Delta m 2435069 2435069 2435069 2435069 .3399 +0.442 .3498 +0.401 .3581 +0.395 .3679 +0.468 .3409 .422 .3505 .389 .3614 .451 .3687 .476 .3419 .419 .3513 .381 .3623 .442 .3693 .501 .3430 .401 .3545 .363 .3630 .435 .3700 .506 .3467 .398 .3552 .362 .3638 .452 .3708 .503 .3474 .394 .3559 .375 .3646 .452 .3716 .515 .3481 .382 .3566 .382 .3653 +0.464 .3724 +0.525 .3491 +0.394 .3573 +0.388 Table 13c Photoelectric yellow observations of AV Peg J.D. Delta V J.D. Delta V J.D. Delta V J.D. Delta V 2436795 2436804 2436804 2436804 .5057 +0.498 .4983 +0.504 .5281 +0.170 .5460 -0.296 .5077 .530 .5013 .480 .5285 .155 .5464 .333 .5117 .532 .5029 .478 .5288 .152 .5469 .332 .5135 .529 .5043 .480 .5292 .128 .5473 .345 .5154 .524 .5078 .503 .5295 .120 .5497 .385 .5191 .497 .5085 .472 .5299 .137 .5500 .397 .5223 .515 .5091 .498 .5302 .113 .5504 .397 .5230 .520 .5098 .469 .5306 .102 .5506 .403 .5397 .438 .5105 .467 .5309 .078 .5510 .398 .5442 .317 .5129 .418 .5311 .098 .5515 .417 .5463 .265 .5135 .412 .5328 .070 .5518 .413 .5484 .224 .5142 .412 .5331 .031 .5524 .425 .5532 +0.046 .5149 .384 .5335 .012 .5530 .431 .5560 -0.005 .5156 .378 .5338 .013 .5532 .444 .5588 .076 .5163 .386 .5341 .002 .5551 .427 .5640 .198 .5170 .369 .5345 +0.004 .5554 .437 .5661 .248 .5190 .397 .5348 -0.006 .5558 .448 .5682 .308 .5194 .381 .5352 .009 .5561 .448 .5734 .436 .5198 .364 .5355 .043 .5565 .458 .5761 .465 .5201 .369 .5358 .061 .5568 .442 .5789 .476 .5205 .362 .5372 .093 .5572 .453 .5845 .462 .5208 .370 .5375 .106 .5575 .456 .5883 .492 .5212 .315 .5379 .115 .5579 .471 .5907 -0.479 .5215 .360 .5382 .127 .5581 .468 .5219 .337 .5387 .107 .5600 .458 2436804 .5221 .329 .5390 .139 .5608 .469 .4754 +0.532 .5234 .303 .5393 .133 .5615 .486 .4804 .492 .5237 .293 .5397 .166 .5622 .495 .4832 .488 .5241 .251 .5400 .154 .5629 .518 .4846 .527 .5244 .248 .5403 .156 .5635 .508 .4860 .487 .5248 .241 .5420 .191 .5642 .495 .4892 .487 .5251 .242 .5424 .203 .5675 .488 .4906 .512 .5255 .236 .5427 .194 .5691 .503 .4920 .510 .5258 .230 .5443 .245 .5705 .491 .4955 .488 .5262 .223 .5450 .244 .5748 .462 .4969 +0.501 .5264 +0.227 .5455 -0.280 .5770 -0.443 Table 13c (cont.) J.D. Delta V J.D. Delta V J.D. Delta V J.D. Delta V 2436804 2436814 2441589 2443722 .5800 -0.439 .3882 -0.145 .3606 -0.293 .3388 +0.420 .5816 .421 .3903 .137 .3620 .353 .3399 .384 .5830 .430 .3956 .104 .3634 .374 .3723 .388 .5846 .393 .3986 .063 .3662 .401 .3461 .367 .5888 .371 .4028 .097 .3676 .436 .3473 .340 .5904 .361 .4049 .082 .3690 .451 .3498 .255 .5925 .314 .4091 -0.047 .3710 .489 .3511 .248 .5953 .326 .4132 +0.005 .3724 .498 .3536 .190 .5971 .312 .4153 .010 .3738 .485 .3548 +0.153 .5985 -0.228 .4174 .006 .3766 .475 .3609 -0.073 .4216 .028 .3780 .474 .3619 .091 2436805 .4236 .021 .3794 .471 .3644 .104 .5125 +0.252 .4257 .048 .3822 .459 .3656 .149 .5170 .250 .4316 .084 .3836 .451 .3682 .213 .5194 .235 .4337 .084 .3850 .447 .3695 .238 .5215 .264 .4358 .081 .3877 .436 .3728 .335 .5264 .243 .4400 .091 .3891 .419 .3753 .394 .5284 .250 .4420 .119 .3905 -0.403 .3790 .443 .5337 .264 .4441 .121 .3800 .432 .5357 .300 .4483 .123 2441963 .3824 .429 .5378 .297 .4504 .149 .3145 +0.335 .3834 .445 .5420 .309 .4525 .149 .3159 .276 .3857 .434 .5441 .286 .4566 .152 .3194 .174 .3868 .458 .5462 .255 .4587 .162 .3235 .128 .3893 -0.445 .5503 .277 .4608 .155 .3245 .157 .5524 .280 .4660 .167 .3273 .059 2443765 .5545 .287 .4688 .174 .3287 +0.035 .2886 +0.383 .5607 .305 .4716 .173 .3308 -0.030 .2913 .316 .5628 .327 .4771 .183 .3322 .052 .2927 .219 .5670 .354 .4799 .211 .3350 .121 .2955 .169 .5691 .359 .4827 .218 .3364 .161 .2969 .102 .5712 .350 .4870 .219 .3391 .241 .2997 +0.027 .5753 .371 .4883 .224 .3401 .313 .3011 -0.050 .5774 .370 .4903 .230 .3426 .335 .3038 .171 .5795 .363 .4945 +0.209 .3440 .377 .3052 .191 .5837 .370 .3467 .464 .3080 .239 .5857 .396 2440506 .3481 .495 .3094 .274 .5878 .396 .4451 +0.215 .3506 .487 .3122 .314 .5923 .372 .4465 .153 .3520 .498 .3136 .369 .5951 .354 .4493 +0.037 .3544 .507 .3163 .425 .5979 +0.365 .4507 -0.002 .3558 .493 .3177 .467 .4674 .464 .3585 .506 .3205 .485 2436814 .4688 .479 .3599 .461 .3219 .519 .3639 -0.247 .4715 .478 .3627 .456 .3247 .535 .3695 .234 .4757 .522 .3641 .435 .3261 .531 .3710 .219 .4771 .482 .3669 .398 .3288 .503 .3738 .217 .4799 .473 .3683 .395 .3302 .488 .3751 .203 .4813 .475 .3710 .379 .3330 .469 .3765 .191 .4840 .492 .3720 .386 .3344 .431 .3793 .160 .4854 .472 .3745 .372 .3372 .441 .3807 .163 .4882 .447 .3759 -0.345 .3386 -0.403 .3821 .170 .4896 -0.444 .3861 -0.152 2443722 2444133 Table 13c (cont.) J.D. Delta V J.D. Delta V J.D. Delta V J.D. Delta V 2444133 2445230 2445566 2445622 .4199 +0.245 .3744 +0.238 .4802 +0.416 .3041 +0.396 .4211 .198 .3757 +0.192 .4815 .357 .3055 .384 .4242 +0.067 .3818 -0.065 .4829 .342 .3068 .359 .4284 -0.036 .3831 .127 .4901 .230 .3082 .324 .4300 .098 .3845 .130 .4914 .194 .3095 .296 .4331 .193 .3859 .167 .4928 .126 .3151 .137 .4347 .233 .3873 .174 .4941 .095 .3164 .106 .4375 .290 .3928 .287 .4954 +0.053 .3178 .058 .4390 .353 .3942 .319 .5031 -0.204 .3191 +0.009 .4418 .437 .3956 .368 .5044 .233 .3205 -0.013 .4437 .471 .3969 .394 .5058 .254 .3265 .185 .4465 .489 .3983 .417 .5071 .279 .3279 .227 .4482 .502 .4044 .457 .5085 .341 .3292 .272 .4515 .479 .4057 .482 .5144 .481 .3305 .315 .4531 .488 .4071 .502 .5157 .492 .3318 .353 .4563 .476 .4085 .485 .5171 .510 .3388 .474 .4577 .479 .4099 -0.498 .5184 .520 .3402 .490 .4608 .460 .5240 .529 .3415 .489 .4623 .453 2445566 .5291 .468 .3428 .492 .4655 .402 .4530 +0.536 .5304 .454 .3442 .497 .4668 -0.400 .4543 .543 .5317 .439 .3499 .521 .4557 .565 .5331 .430 .3512 .488 2445230 .4571 .543 .5344 .417 .3526 .473 .3577 +0.473 .4645 .527 .5418 .392 .3539 .469 .3590 .478 .4658 .508 .5431 .358 .3553 .447 .3604 .459 .4672 .544 .5445 .373 .3611 .408 .3632 .423 .4685 .498 .5458 .384 .3625 .415 .3702 .334 .4698 .534 .5472 -0.361 .3639 .392 .3716 .293 .4775 .457 .3652 .390 .3730 +0.259 .4789 +0.436 2445622 .3666 -0.372 Table 13d Photoelectric blue observations of AV Peg J.D. Delta B J.D. Delta B J.D. Delta B J.D. Delta B 2436795 2436795 2436804 2436804 .5046 +0.753 .5574 +0.049 .4797 +0.759 .5698 -0.528 .5067 .787 .5629 -0.151 .4825 .803 .5733 .509 .5108 .773 .5650 .214 .4839 .760 .5747 .498 .5126 .777 .5671 .294 .4853 .798 .5763 .459 .5145 .767 .5720 .474 .4885 .783 .5793 .440 .5182 .773 .5748 .513 .4899 .807 .5807 .424 .5202 .778 .5775 .540 .4913 .777 .5823 .412 .5211 .748 .5831 .533 .4948 .803 .5837 .408 .5386 .622 .5873 .532 .4962 .776 .5881 .341 .5432 .541 .5893 -0.517 .4976 .752 .5897 .326 .5452 .470 .5022 .752 .5916 .303 .5473 .443 2436804 .5036 +0.733 .5946 .273 .5518 .216 .4747 +0.757 .5668 -0.518 .5962 .253 .5546 +0.138 .4784 +0.760 .5682 -0.508 .5978 -0.243 Table 13d (cont.) J.D. Delta B J.D. Delta B J.D. Delta B J.D. Delta B 2436805 2436814 2441589 2443722 .5114 +0.458 .4327 +0.264 .3815 -0.540 .3638 -0.066 .5159 .460 .4348 .250 .3829 .531 .3650 .057 .5180 .486 .4389 .286 .3843 .526 .3675 .144 .5205 .464 .4410 .288 .3870 .508 .3688 .207 .5253 .500 .4431 .312 .3884 .494 .3712 .331 .5274 .518 .4473 .303 .3898 -0.481 .3723 .352 .5326 .482 .4493 .319 .3748 .431 .5347 .509 .4514 .358 2441963 .3759 .455 .5409 .520 .4556 .362 .3138 +0.566 .3785 .512 .5430 .539 .4577 .373 .3152 .535 .3795 .535 .5451 .526 .4598 .351 .3187 .413 .3819 .543 .5493 .563 .4646 .385 .3228 .339 .3830 .578 .5514 .543 .4674 .387 .3242 .315 .3852 .551 .5534 .552 .4702 .387 .3266 .232 .3863 .551 .5576 .565 .4757 .420 .3280 .156 .3888 .524 .5597 .579 .4785 .419 .3301 .028 .3899 -0.519 .5618 .592 .4813 .418 .3315 +0.011 .5659 .586 .4861 .445 .3343 -0.118 2443765 .5680 .608 .4877 .453 .3357 .160 .2906 +0.547 .5701 .579 .4893 .456 .3384 .252 .2920 .480 .5743 .594 .4934 +0.444 .3394 .297 .2948 .383 .5764 .615 .3419 .370 .2962 .310 .5784 .604 2440506 .3433 .408 .2990 .132 .5826 .597 .4444 +0.386 .3460 .491 .3004 +0.052 .5847 .616 .4458 .266 .3474 .498 .3031 -0.017 .5868 .626 .4486 .172 .3499 .524 .3045 .068 .5909 .600 .4500 +0.082 .3513 .553 .3073 .119 .5965 .652 .4667 -0.461 .3537 .553 .3087 .175 .6010 +0.660 .4681 .487 .3551 .567 .3115 .237 .4708 .523 .3578 .534 .3129 .285 2436814 .4722 .520 .3592 .536 .3156 .385 .3622 -0.228 .4750 .565 .3620 .508 .3170 .440 .3681 .192 .4764 .558 .3634 .517 .3198 .514 .3703 .155 .4792 .552 .3662 .466 .3212 .541 .3731 .144 .4806 .558 .3676 .445 .3240 .569 .3745 .145 .4833 .544 .3703 .415 .3254 .595 .3758 .131 .4847 .514 .3717 .405 .3281 .567 .3786 .091 .4875 .480 .3738 .403 .3295 .561 .3851 .063 .4889 -0.455 .3752 -0.395 .3323 .530 .3872 .063 .3337 .522 .3893 .031 2441589 2443722 .3365 .517 .3934 -0.024 .3599 -0.274 .3393 +0.582 .3379 -0.505 .3955 +0.019 .3613 .341 .3418 .564 .3976 .034 .3627 .385 .3430 .567 2444133 .4018 .016 .3655 .463 .3454 .516 .4194 +0.359 .4059 .038 .3669 .490 .3467 .508 .4204 .303 .4122 .106 .3683 .499 .3492 .424 .4235 .196 .4143 .126 .3703 .539 .3506 .430 .4248 .129 .4164 .133 .3717 .544 .3529 .315 .4277 +0.042 .4205 .158 .3731 .559 .3542 .322 .4293 -0.016 .4226 .187 .3759 .545 .3569 .176 .4324 .125 .4247 .211 .3773 .545 .3581 +0.151 .4339 .182 .4306 +0.256 .3787 -0.541 .3614 -0.010 .4369 -0.259 Table 13d (cont.) J.D. Delta B J.D. Delta B J.D. Delta B J.D. Delta B 2444133 2445230 2445566 2445622 .4383 -0.352 .3932 -0.297 .4932 +0.252 .3073 +0.554 .4410 .422 .3946 .350 .4945 .184 .3086 .522 .4425 .471 .3960 .420 .4959 +0.137 .3099 .477 .4457 .518 .3974 .457 .5035 -0.203 .3155 .276 .4474 .533 .3988 .492 .5049 .231 .3169 .212 .4506 .530 .4048 .527 .5062 .236 .3182 .140 .4523 .534 .4062 .573 .5076 .291 .3196 .103 .4554 .522 .4076 .557 .5089 .366 .3209 +0.047 .4569 .517 .4090 .576 .5148 .508 .3270 -0.179 .4600 .499 .4104 -0.564 .5161 .550 .3283 .239 .4616 .495 .5175 .577 .3296 .288 .4645 .463 2445566 .5189 .577 .3310 .327 .4662 -0.448 .4535 +0.909 .5245 .599 .3323 .381 .4548 .890 .5262 .555 .3393 .548 2445230 .4562 .852 .5295 .527 .3406 .553 .3581 +0.749 .4575 .874 .5308 .522 .3419 .566 .3594 .733 .4649 .838 .5322 .506 .3433 .570 .3609 .720 .4662 .842 .5335 .490 .3446 .571 .3636 .706 .4676 .824 .5349 .492 .3503 .557 .3707 .530 .4690 .823 .5422 .415 .3517 .534 .3720 .485 .4703 .782 .5436 .419 .3530 .534 .3734 .441 .4780 .700 .5449 .421 .3544 .515 .3748 .426 .4793 .687 .5463 .395 .3557 .507 .3762 +0.362 .4806 .622 .5476 -0.407 .3616 .479 .3822 -0.002 .4820 .589 .3630 .462 .3836 .049 .4833 .546 2445622 .3643 .456 .3850 .076 .4905 .347 .3046 +0.634 .3657 .450 .3864 .136 .4918 +0.300 .3059 +0.595 .3670 -0.431 .3877 -0.143 Table 13e Photoelectric uv observations of AV Peg J.D. Delta U J.D. Delta U J.D. Delta U J.D. Delta U 2445566 2445566 2445566 2445566 .4539 +0.931 .4963 +0.098 .5340 -0.393 .3173 +0.193 .4566 .908 .5040 -0.211 .5353 .407 .3187 .128 .4579 .910 .5053 .195 .5427 .302 .3200 .090 .4654 .849 .5066 .213 .5440 .332 .3213 +0.033 .4667 .826 .5080 .287 .5454 .277 .3274 -0.137 .4681 .825 .5094 .354 .5467 .296 .3287 .203 .4694 .832 .5153 .452 .5480 -0.255 .3301 .254 .4708 .809 .5166 .481 .3314 .289 .4797 .671 .5180 .462 2445622 .3328 .344 .4824 .621 .5193 .489 .3050 +0.621 .3397 .474 .4837 .536 .5249 .529 .3063 .595 .3410 .466 .4910 .387 .5267 .493 .3077 .535 .3424 .487 .4923 .317 .5299 .454 .3090 .547 .3437 .480 .4936 .225 .5313 .432 .3104 .470 .3451 .460 .4950 +0.175 .5326 -0.389 .3160 +0.243 .3508 -0.439 Table 13e (cont.) J.D. Delta U J.D. Delta U J.D. Delta U J.D. Delta U 2445622 2445622 2445622 2445622 .3521 -0.422 .3562 -0.417 .3634 -0.354 .3661 -0.323 .3535 .413 .3621 -0.369 .3647 -0.340 .3674 -0.302 .3548 -0.415 Table 14a Photoelectric observations of TU UMa in integrated light J.D. Delta m J.D. Delta m J.D. Delta m J.D. Delta m 2435925 2435934 2435934 2435963 .4287 +0.614 .3028 +1.334 .3707 +0.246 .3918 +0.162 .4303 .609 .3039 1.290 .3730 .248 .4315 .566 .3096 1.307 .3810 .177 2435992 .4334 .563 .3106 1.307 .3831 .186 .3509 +0.663 .4356 .516 .3116 1.309 .3854 .188 .3523 .633 .4376 .482 .3130 1.294 .3881 .165 .3536 .619 .4394 .434 .3141 1.338 .3956 .181 .3550 .588 .4410 .397 .3180 1.292 .3985 .203 .3562 .562 .4488 .258 .3192 1.269 .3999 .237 .3601 .443 .4504 .203 .3203 1.263 .4118 .282 .3613 .449 .4520 .204 .3220 1.266 .4136 .295 .3626 .395 .4537 .193 .3232 1.245 .4151 .271 .3641 .395 .4602 .146 .3274 1.160 .4167 .283 .3655 .391 .4625 .129 .3289 1.113 .4181 .307 .3669 .333 .4646 .132 .3300 1.089 .4286 .387 .3708 .281 .4667 .137 .3312 1.053 .4298 +0.413 .3721 .278 .4692 .166 .3326 1.020 .3734 .288 .4761 .226 .3382 0.906 2435963 .3752 .259 .5201 .451 .3399 .843 .3638 +0.359 .3799 .243 .5228 .507 .3414 .818 .3648 .331 .3811 .238 .5258 .495 .3428 .787 .3666 .345 .3824 .232 .5284 +0.494 .3445 .719 .3679 .310 .3835 .256 .3513 .604 .3693 .319 .3847 .246 2435934 .3534 .580 .3731 .221 .3888 .258 .2916 +1.340 .3547 .564 .3742 .195 .3898 .279 .2941 1.282 .3572 .528 .3755 .182 .3911 .251 .2952 1.294 .3588 .495 .3785 .163 .3923 .275 .2963 1.293 .3637 .403 .3819 .168 .3938 .290 .3007 1.301 .3657 .324 .3833 .152 .3982 .296 .3017 +1.309 .3684 +0.282 .3872 +0.166 .3994 +0.296 Table 14b Photoelectric yellow observations of TU UMa J.D. Delta V J.D. Delta V J.D. Delta V J.D. Delta V 2436230 2436230 2436230 2436230 .4353 +1.365 .4608 +0.890 .4684 +0.763 .4736 +0.682 .4475 +1.205 .4634 +0.833 .4709 +0.702 .4795 +0.639 Table 14b (cont.) J.D. Delta V J.D. Delta V J.D. Delta V J.D. Delta V 2436230 2436231 2436267 2436288 .4820 +0.566 .6314 +0.378 .5525 +1.135 .4838 +0.512 .4846 .526 .6421 .421 .5566 1.130 .4877 .437 .4909 .396 .6476 .438 .5731 1.137 .4943 .395 .4938 .376 .6570 .489 .5779 1.129 .4968 .406 .4967 .362 .6602 .510 .5821 1.169 .4998 .372 .4990 .365 .6630 .536 .5855 1.160 .5028 .379 .5047 .358 .6709 .552 .5954 1.175 .5099 .376 .5075 .346 .6742 .579 .5995 1.179 .5136 +0.380 .5100 .343 .6771 .581 .6037 1.187 .5158 .391 .6837 .595 .6075 1.214 2436604 .5186 .393 .6863 +0.617 .6186 1.173 .6110 +1.309 .5214 .419 .6222 1.180 .6138 1.317 .5318 .446 2436264 .6258 1.189 .6163 1.309 .5362 .487 .3965 +1.342 .6453 1.202 .6218 1.295 .5416 .511 .4001 1.313 .6488 +1.190 .6246 1.266 .5488 .540 .4031 1.323 .6274 1.281 .5524 .566 .4104 1.334 2436272 .6329 1.246 .5561 .576 .4140 1.328 .2944 +0.725 .6357 1.205 .5640 .610 .4181 1.340 .2971 .722 .6385 1.181 .5679 .609 .4342 1.370 .3042 .598 .6437 1.074 .5716 .651 .4368 1.393 .3071 .508 .6458 1.028 .5798 .655 .4397 1.358 .3138 .462 .6478 0.951 .5848 .687 .4458 1.371 .3166 +0.410 .6531 .806 .5887 .699 .4490 1.336 .6551 .763 .6021 .780 .4521 1.351 2436278 .6572 .721 .6062 .755 .4622 1.227 .4004 +1.301 .6614 .709 .6254 .821 .4654 1.210 .4057 1.161 .6635 .686 .6287 .802 .4688 1.131 .4119 1.109 .6656 .653 .6375 .825 .4715 1.038 .4147 0.982 .6701 .555 .6411 .853 .4743 0.998 .4175 .967 .6721 .549 .6445 .868 .4785 .839 .4251 .798 .6746 .511 .6515 .915 .4816 .795 .4293 .726 .6794 .427 .6545 .903 .4884 .729 .4362 .589 .6819 .411 .6572 .904 .4946 .655 .4425 .474 .6840 .386 .6640 .915 .4976 .574 .4480 .423 .6885 .351 .6672 .901 .5122 .523 .4508 .382 .6906 .335 .6702 .920 .5045 .467 .4543 .366 .6926 .333 .6780 .943 .5078 .412 .4657 .364 .6965 .335 .6810 .957 .5114 .366 .4688 .383 .6985 .343 .6840 +0.980 .5147 .366 .4723 .388 .7006 +0.332 .5184 .352 .4765 .386 2436231 .5219 .338 .4796 +0.395 2436647 .5743 +0.925 .5254 .342 .3990 +1.152 .5771 .841 .5291 .365 2436288 .4029 1.142 .5802 .777 .5323 +0.405 .4377 +1.322 .4044 1.128 .5886 .638 .4401 1.271 .4092 1.173 .5917 .640 2436267 .4437 1.208 .4111 1.129 .5954 .589 .5207 +0.993 .4472 1.116 .4149 1.144 .6049 .438 .5286 1.067 .4593 0.891 .4168 1.175 .6095 .360 .5329 1.070 .4658 .786 .4184 1.159 .6215 .346 .5369 1.090 .4690 .740 .4224 1.164 .6251 .346 .5447 1.103 .4724 .676 .4241 1.180 .6284 +0.350 .5482 +1.121 .4811 +0.551 .4259 +1.173 Table 14b (cont.) J.D. Delta V J.D. Delta V J.D. Delta V J.D. Delta V 2436647 2443848 2443954 2443954 .4296 +1.145 .5656 +1.294 .5697 +0.889 .6318 +0.418 .4346 1.167 .5721 1.314 .5710 .852 .6332 .417 .4386 1.147 .5736 1.340 .5738 .773 .4413 1.159 .5790 1.349 .5753 .744 2445471 .4434 1.142 .5807 1.349 .5783 .704 .3890 +1.216 .4481 1.168 .5847 1.328 .5797 .719 .3903 1.189 .4503 1.154 .5967 1.212 .5825 .711 .3917 1.152 .4522 1.160 .5986 1.226 .5839 .693 .3976 1.048 .4565 1.154 .6022 1.162 .5863 .613 .4016 0.961 .4601 1.157 .6038 1.147 .5876 .605 .4029 .931 .4641 1.123 .6071 1.114 .5901 .564 .4043 .882 .4656 1.161 .6087 1.086 .5915 .567 .4056 .852 .4675 1.176 .6148 0.905 .5940 .532 .4069 .822 .4717 1.147 .6160 .898 .5959 .462 .4170 .673 .4734 1.147 .6191 .853 .6002 .405 .4183 .675 .4753 1.126 .6203 .774 .6016 .424 .4209 .631 .4842 1.147 .6235 .695 .6047 .386 .4245 .549 .4861 1.147 .6308 .598 .6061 .381 .4259 .521 .4883 1.130 .6318 +0.593 .6091 .353 .4272 .513 .4948 1.140 .6135 .336 .4286 .481 .4970 1.182 2443954 .6153 .343 .4397 .335 .4990 1.168 .5583 +1.144 .6184 .353 .4416 .329 .5045 1.181 .5599 1.132 .6198 .345 .4647 .324 .5065 1.208 .5623 1.124 .6225 .359 .4687 .360 .5084 1.197 .5634 1.076 .6240 .364 .4716 .377 .5222 1.248 .5659 0.997 .6271 .364 .4729 .387 .5260 +1.271 .5672 +0.980 .6285 +0.366 .4743 +0.417 Table 14c Photoelectric blue observations of TU UMa J.D. Delta B J.D. Delta B J.D. Delta B J.D. Delta B 2436230 2436230 2436230 2436231 .4448 +1.127 .5088 +0.018 .5996 +0.502 .5729 +0.772 .4492 1.018 .5146 .036 .6045 .516 .5757 .661 .4567 .801 .5169 .049 .6240 .573 .5787 .556 .4597 .714 .5200 .061 .6272 .587 .5870 .435 .4621 .618 .5301 .099 .6305 .613 .5910 .382 .4670 .505 .5340 .140 .6391 .651 .5934 .342 .4695 .451 .5397 .185 .6427 .677 .6023 .152 .4723 .439 .5471 .212 .6460 .695 .6061 .087 .4781 .354 .5508 .243 .6527 .707 .6096 +0.037 .4808 .286 .5544 .255 .6559 .726 .6172 -0.011 .4834 .235 .5617 .323 .6586 .726 .6200 +0.003 .4896 .109 .5657 .328 .6655 .735 .6232 .006 .4924 .048 .5696 .349 .6687 .748 .6267 .019 .4953 .027 .5780 .374 .6720 .767 .6293 .053 .4980 .027 .5828 .410 .6797 .790 .6407 .104 .5032 .009 .5870 .444 .6825 .806 .6434 .129 .5061 +0.002 .5950 +0.484 .6853 +0.819 .6462 +0.148 Table 14c (cont.) J.D. Delta B J.D. Delta B J.D. Delta B J.D. Delta B 2436231 2435267 2436288 2436647 .6557 +0.205 .5589 +0.979 .4578 +0.658 .4139 +1.020 .6587 .210 .5750 1.040 .4646 .522 .4157 1.052 .6615 .228 .5804 1.047 .4673 .464 .4178 1.048 .6694 .252 .5836 1.034 .4706 .430 .4216 1.025 .6726 .272 .5876 1.054 .4796 .277 .4232 1.040 .6757 .280 .5972 1.079 .4824 .203 .4249 1.012 .6821 .322 .6016 1.064 .4854 .128 .4289 1.045 .6849 +0.323 .6060 1.082 .4892 .090 .4305 1.028 .6089 1.077 .4956 .050 .4334 1.045 2436264 .6166 1.087 .4982 .057 .4377 1.036 .3983 +1.122 .6204 1.068 .5011 .049 .4404 1.062 .4014 1.153 .6238 1.053 .5053 .037 .4423 1.023 .4049 1.133 .6356 1.063 .5115 .055 .4472 1.023 .4156 1.185 .6395 1.063 .5150 +0.064 .4495 1.038 .4191 1.196 .6417 1.060 .4513 1.032 .4356 1.226 .6469 +1.079 2436604 .4556 1.031 .4382 1.234 .6100 +1.186 .4573 1.030 .4410 1.209 2436272 .6124 1.187 .4592 1.012 .4474 1.197 .2925 +0.441 .6149 1.170 .4632 1.023 .4504 1.208 .2957 .414 .6204 1.164 .4649 1.024 .4538 1.180 .3025 .277 .6232 1.158 .4666 1.005 .4609 1.094 .3058 .222 .6260 1.128 .4705 1.001 .4638 1.031 .3120 .128 .6315 1.096 .4725 1.024 .4673 0.974 .3151 +0.104 .6343 1.067 .4745 1.037 .4702 .897 .6371 1.035 .4833 1.031 .4729 .830 2436278 .6426 0.937 .4852 1.024 .4757 .693 .3991 +1.182 .6447 .876 .4872 1.040 .4798 .546 .4015 1.095 .6468 .796 .4924 1.030 .4830 .479 .4043 1.041 .6520 .618 .4960 1.034 .4867 .439 .4105 0.928 .6541 .549 .4981 1.061 .4902 .433 .4133 .844 .6562 .487 .5031 1.069 .4960 .332 .4227 .600 .6603 .430 .5055 1.079 .4994 .260 .4251 .521 .6624 .413 .5075 1.071 .5027 .199 .4279 .477 .6645 .408 .5212 1.129 .5062 .134 .4348 .394 .6690 .325 .5231 1.110 .5095 .088 .4376 .328 .6711 .290 .5249 +1.106 .5129 .039 .4411 .291 .6732 .248 .5164 .015 .4466 .168 .6784 .145 2443848 .5202 .004 .4494 .145 .6808 .099 .5650 +1.136 .5237 .010 .4522 .109 .6829 .045 .5712 1.144 .5272 .025 .4640 .034 .6874 .031 .5729 1.172 .5308 .047 .4675 .068 .6895 .002 .5779 1.164 .5342 +0.078 .4702 .084 .6916 +0.006 .5799 1.170 .4744 .093 .6956 -0.006 .5838 1.142 2436267 .4779 +0.096 .6975 -0.003 .5855 1.137 .5186 +0.868 .6996 +0.019 .5893 1.108 .5228 .883 2436288 .5911 1.097 .5266 .886 .4364 +1.186 2436647 .5959 1.067 .5308 .932 .4388 1.135 .4022 +1.029 .5978 1.056 .5385 .957 .4425 1.062 .4036 1.015 .6015 1.003 .5465 .965 .4449 0.979 .4069 1.025 .6031 0.965 .5550 .969 .4526 .817 .4084 1.041 .6062 .941 .5548 +0.966 .4551 +0.750 .4103 +1.001 .6080 +0.885 Table 14c (cont.) J.D. Delta B J.D. Delta B J.D. Delta B J.D. Delta B 2443848 2443954 2443954 2445471 .6139 +0.702 .5730 +0.552 .6098 -0.012 .4020 +0.698 .6154 .659 .5747 .504 .6129 .035 .4033 .670 .6182 .612 .5776 .444 .6146 .033 .4047 .640 .6196 .530 .5790 .431 .6175 .027 .4060 .580 .6226 .466 .5818 .436 .6192 .017 .4074 .531 .6161 .429 .5832 .432 .6219 -0.003 .4174 .393 .6309 +0.409 .5857 .361 .6232 +0.006 .4188 .376 .5869 .344 .6262 .011 .4250 .216 2443954 .5894 .295 .6279 .016 .4263 .179 .5578 +0.999 .5908 .269 .6307 .038 .4277 +0.154 .5592 .980 .5933 .230 .6325 +0.045 .4420 -0.076 .5616 .919 .5954 .206 .4651 +0.005 .5628 .887 .5997 .074 2445471 .4691 -0.012 .5653 .816 .6009 .055 .3894 +1.041 .4720 +0.031 .5665 .780 .6039 .023 .3908 1.021 .4734 0.018 .5691 .708 .6054 +0.008 .3921 0.989 .4747 +0.043 .5703 +0.657 .6084 -0.004 .3980 +0.837 Table 14d Photoelectric uv observations of TU UMa J.D. Delta U J.D. Delta U J.D. Delta U J.D. Delta U 2445471 2445471 2445471 2445471 .3889 +1.027 .4051 +0.484 .4254 +0.223 .4656 -0.046 .3912 0.988 .4065 .451 .4268 .180 .4724 +0.041 .3925 .954 .4078 .413 .4281 +0.162 .4738 .050 .4024 .580 .4179 .353 .4425 -0.054 .4752 +0.069 .4038 +0.552 .4192 +0.348