COMMUNICATIONS MITTEILUNGEN
FROM THE DER
KONKOLY OBSERVATORY STERNWARTE
OF THE DER UNGARISCHEN AKADEMIE
HUNGARIAN ACADEMY OF SCIENCES DER WISSENSCHAFTEN
BUDAPEST - SZABADSAGHEGY
No. 88.
(Vol. 10. Part 2)
PHOTOELECTRIC OBSERVATIONS
OF SZ LYNCIS
M. A. SOLIMAN*, M. A. HAMDY*, B. SZEIDL,
AND L. SZABADOS
*(Helwan Observatory, Helwan, Egypt)
BUDAPEST, 1986
PHOTOELECTRIC OBSERVATIONS OF SZ LYNCIS
ABSTRACT
1018 photoelectric observations of SZ Lyn obtained at Kottamia and
Konkoly Observatories between 1984 and 1986 are reported. The long-period
variation in time of maximum light discovered by van Genderen was investigated
and the value of its period (P_B=1173.5 days = 3.213 years) and semiamplitude
(A=0.00569 day=491.6 sec) have been improved, and a secular change
in the pulsation period (beta = 3*10^-12 day*cycle^-1) has been found.
INTRODUCTION
SZ Lyncis (= BD +44 1718 = HD 67390) is one of the most interesting
high amplitude delta Scuti type variables. It is definitely a member of a
binary system, and the duplicity is well reflected by the periodic variation
in its period.
Its light variability was discovered by Hoffmeister (1949a,b), and
since 1961 a great number of photoelectric observations have been
carried out (see Szeidl, 1983 and references therein; Braune et al.,
1983; Fernley et al., 1984; and Jiang Shi-yang et al., 1985).
Van Genderen (1967) was the first to point out that the O-C's produced
by a linear ephemeris appeared to follow a sine-curve relation with a period of
P_B= 3.091+-0.051 years. Barnes and Moffett (1975) improved the parameters of
the long-period variation from a linear element (P_B = 3.138+-0.028 years) and
interpreted this long-period variation as light travel time effect supposing
SZ Lyn to be a member of a binary system with P_B the orbital period. Garrido
et al. (1979) confirmed that the residuals from a constant period fitted a
sine-wave well with a cycle length P_B= 3.149+-0.028 years. Szeidl (1983)
discussed all the photoelectric maxima available up to 1980 and came to the
conclusion that the orbital period was longer (P_B=3.203 +-0.009 years)
allowing that the pulsation period of the star might change linearly.
Bardin and Imbert (1984) carried out radial velocity measurements of high
accuracy. They took into account the previous radial velocity observations
of less accuracy and they then derived an even longer orbital period
(P_B = 3.235+-0.004 years) than was obtained previously.
Szeidl (1983) was the first to try to determine the intrinsic, secular change
in the pulsation period (P_0) of SZ Lyn and he obtained beta=(+10+-7)*10^-13
day*cycle^-1 by a least squares solution. Later, Jiang Shi-yang et al. (1985)
supposed that Barnes and Moffett's (1975) solution for the periodic long
term (sinusoidal) variation had been accurately determined and they
corrected the O-C's for this variation; the residual O-C's yielded
beta=(+6.32+-0.72)*10^-12 day*cycle^-1 by a second order least squares
solution.
Although the photoelectric observations of SZ Lyn have covered almost a
quarter of a century there are still some uncertainties in the period
determinations by the radial velocity measurements and by the light time
effect. In an attempt to determine a more accurate value for the periods
and the variation in the pulsation period we put the star on our observational
programme again for three observational seasons.
THE OBSERVATIONS
The photoelectric observations were carried out at Helwan Institute's
Kottamia Observatory and the mountain station of Konkoly Observatory.
The 347 photoelectric observations of Kottamia Observatory were made by
the 74 inch telescope on the nights 27/28, 28/29 February and 1/2 March
1984 (J.D.244 5758, 244 5759, and 244 5761). The photoelectric photometer
attached to the f/18 Cassegrain focus had an EMI 9558 B tube with an S-20
photocathode. The amplified output of the tube was fed into a Brown recorder.
The time of the observations was estimated from the starting point and the mean
moving speed of the strip chart recorder. The U,B and V filters used were very
close to the standard system of Johnson and Morgan. BD +44 1714 served as the
comparison star: its brightness and colours were determined as follows:
V = 9.64 , B-V = +0.63 and U-B = +0.14 . The observations in the natural system
obtained at Kottamia Observatory are given in Table 3a,b,c.
During the nights 3/4, 4/5 December 1984 and 4/5, 5/6 February 1986
(J.D. 244 6038, 244 6039, and 244 6466, 244 6467), 671 three-colour
photoelectric observations were obtained at the mountain station of Konkoly
Observatory. The observations were carried out with the 20 inch Cassegrain
telescope equipped with an unrefrigerated photometer. This photometer contained
an EMI 9058 QB multiplier tube and the colour filters were nearly on the UBV
system: in ultraviolet light UG2, in blue light BG12 + GG13, and in yellow
light GG11 Schott filters were used. The observations of Konkoly Observatory
were made differentially with respect to the comparison star BD +45 1544
whose brightness and colours measured by different authors are given in the
paper of Szeidl (1983). (The accepted values for the comparison star are:
V = 9.44 , B-V = +0.45 , U-B = +0.03.) The individual observations of
SZ Lyn have been converted to the standard UBV system and are presented in
Table 4a,b,c. As the comparison star was close to the variable, no
correction has been made for differential extinction.
The light variation of SZ Lyn is very regular. The small deviations
between the light curves of different observers can be attributed to
errors in the transformation from the instrumental system into the UBV
system. Apart from these deviations small cycle-to-cycle variations are
also present.
An unusual feature in the colour loop during the phase interval 0.32-0.44
was found by Barnes and Moffett (1975). We examined this part of our light
curves but no unusual feature was found. It seems that this behaviour does
not reproduce each cycle.
PERIOD ANALYSIS
The early investigation of the period of SZ Lyn carried out by van
Genderen (1967) revealed that the linear ephemeris produced (O-C)'s
which appeared to follow a sine-curve relation with a cycle length of
1129 days. The observations used by van Genderen covered only 1.6P_B=5
years whereas the baseline of coverage was extended to 3.8P_B = 12 years
by Barnes and Moffett (1975) who obtained a period of 1146 days. This
long-period variation in the time of maximum light first found by van
Genderen was interpreted by Barnes and Moffett as a modulation of the
phase of maximum light by binary motion.
Later on, the value of the long period was improved by Garrido et al.
(1979) using observations which covered 5.0P_B=16 years.
Szeidl (1983) used all the photoelectric observations available up to
1980; the baseline of coverage was 6.0P_B = 19 years. He supposed that
the pulsational period underwent intrinsic, secular (evolutionary) changes,
therefore he tried to fit the epochs of maximum light of SZ Lyn to the
following relation:
T_max = T_0 + P_0 *E +(beta/2)*E^2 - A*cos 2pi((P_0/P_B)*E - psi_0) (1)
where T_0 is the initial epoch of maximum corresponding to E = 0 ; P_0 is
the pulsation period of SZ Lyn; P_B is the period of the sinusoid; beta is
the secular change of the pulsation period during one pulsation cycle; A
is the semiamplitude of the sine-curve; and psi_0 is the phase shift. From
a least squares solution of Eq.(1), Szeidl (1983) derived an essentially
larger value for P_B (=1170 days) than was obtained previously.
Bardin and Imbert (1984) using only radial velocity measurements derived
an even longer period of the orbital motion: P_B = 1181.5 days.
Table 1
Parameters of ephemerides
T_0 P_0 P_B A psi_0 10^12 beta coverage ref.
2438124.39849 0.12053493d 1129d 0.00569d -0.019 0*** 5.0 years [1]
+-21 +-05 +-18 +-18 +-11
38124.39828 0.120534906 1146 0.00572 -0.010 0*** 11.8 years [2]
+-17 +-20 +-10 +-19 +-08
38124.39824 0.120534920 1150 0.00573 -0.007 0*** 16.2 years [3]
+-17 +-13 +-10 +-20 +-08
38124.39801 0.120534934 1170 0.00540 -0.015 1.0 18.9 years [4]
+-12 +-18 +-03 +-11 +-05 +-.7
38124.39828* 0.120534906* 1146* 0.00572* -0.010* 6.32 23.0 years [5]
+-.62
- - 1181.5** - - - 19.0 years**[6]
+-1.4
38124.39811 0.120534896 1173.5 0.00569 -0.017 2.96 24.9 years [7]
+-13 +-7 +-2.0 +-13 +-06 +-.15
* Barnes and Moffett's parameters were accepted
** From radial velocity measurements
*** Pulsation period assumed to be constant
ref.: [1]: van Genderen (1967);
[2]: Barnes and Moffett (1975);
[3]: Garrido et al. (1979);
[4]: Szeidl (1983);
[5]: Jiang et al. (1985);
[6]: Bardin and Imbert (1984);
[7]: present paper
For comparison, the parameters of the sine-curve relation obtained by
different authors are given in Table 1.
In order to determine a more accurate value of the parameters in Eq.(1),
we collected all the published times of photoelectric maxima in Table 2.
Five maxima have been excluded from the fit to Eq.(1). Four of these maxima
(E= 2919 and 2977 observed by Joshi and Srivastava (1967); E = 18459 by Wisse
and Wisse (1969); and E = 21073 by Popovici (1971)) were already reported to
deviate significantly from the non-linear ephemeris. The time of the fifth
maximum (E=57701), observed by F. Agerer (Braune and Mundry, 1982), is probably
given erroneously.
Values of the six parameters in Eq.(1) were determined by the method of
least squares giving the same weight to all observations:
T_0 = 2438124.39811 A = 0.00569 day
+-.00013 +-.00013
P_0 = 0.120534896 day beta = +2.96*10^-12 day*cycle^-1
+- 7 +-.15
P_B = 1173.5 days psi_0 = -0.017
+-2.0 +-.006
These new values are also given in Table 1 for comparison purposes. The 145
observed maxima used in this discussion cover almost 8P_B ~~ 25 years.
Table 2
Photoelectrically observed maxima
Epoch Rem. E (O-C)_lin O-C psi
maximum
2437367.441 Sc -6280 +0.0020 -0.0020 0.372
368.407 Sc -6272 +0.0038 -0.0003 0.373
642.021 Eg -4002 +0.0035 -0.0010 0.606
706.2645 Sz -3469 +0.0019 -0.0011 0.661
707.4695 Sz -3459 +0.0016 -0.0014 0.662
.5908 Sz -3458 +0.0024 -0.0007 0.662
718.5587 Sz -3367 +0.0016 -0.0011 0.671
726.5141 Sz -3301 +0.0017 -0.0008 0.678
744.3535 Sz -3153 +0.0019 -0.0001 0.693
780.031 HX -2857 +0.0011 +0.0001 0.723
.152 HX -2856 +0.0016 +0.0006 0.724
977.343 HX -1220 -0.0025 +0.0019 0.892
997.351 HX -1054 -0.0033 +0.0015 0.909
38001.568 vG -1019 -0.0051 -0.0002 0.912
.689 vG -1018 -0.0046 +0.0003 0.912
003.378 HX -1004 -0.0031 +0.0018 0.914
021.576 vG -853 -0.0058 -0.0007 0.929
.699 vG -852 -0.0034 +0.0018 0.929
032.305 HX -764 -0.0044 +0.0008 0.939
052.4333 Sz -597 -0.0055 0.0000 0.956
.5545 Sz -596 -0.0048 +0.0007 0.956
053.276 HX -590 -0.0065 -0.0010 0.956
055.205 HX -574 -0.0061 -0.0006 0.958
.3268 Br -573 -0.0048 +0.0007 0.958
.4463 Br -572 -0.0058 -0.0004 0.958
.5681 Br -571 -0.0046 +0.0009 0.958
057.3752 Br -556 -0.0055 0.0000 0.960
.4964 Br -555 -0.0048 +0.0007 0.960
.6172 Br -554 -0.0046 +0.0009 0.960
082.4464 Sz -348 -0.0056 +0.0001 0.981
114.3880 Br -83 -0.0057 0.0000 0.008
118.367 vG -50 -0.0044 +0.0013 0.012
.485 vG -49 -0.0069 -0.0012 0.012
124.393 vG 0 -0.0051 +0.0006 0.017
140.423 Br +133 -0.0063 -0.0007 0.031
439.3565 Sz 2613 +0.0007 -0.0006 0.285
.4772 Sz 2614 +0.0009 -0.0004 0.285
457.3173 Sz 2762 +0.0018 0.0000 0.301
.4376 Sz 2763 +0.0016 -0.0002 0.301
460.210 JS 2786 +0.0017 -0.0002 0.303
463.342 JS 2812 -0.0002 -0.0022 0.306
464.189 JS 2819 +0.0030 +0.0010 0.307
465.276 JS 2828 -0.0052 +0.0032 0.308
466.238 JS 2836 +0.0029 +0.0009 0.308
467.200 JS 2844 +0.0006 -0.0014 0.309
471.297 JS 2878 -0.0005 -0.0027 0.313
(476.249 JS 2919 +0.0095 +0.0072 0.317)
(483.241 JS 2977 +0.0105 +0.0080 0.323)
701.8866 Bi 4791 +0.0058 +0.0001 0.509
708.6377 vG 4847 +0.0069 +0.0013 0.515
709.6014 vG 4855 +0.0064 +0.0007 0.516
712.6148 vG 4880 +0.0064 +0.0007 0.518
725.5117 vG 4987 +0.0061 +0.0004 0.529
752.5114 vG 5211 +0.0059 +0.0005 0.552
788.5505 vG 5510 +0.0051 +0.0001 0.583
809.4022 vG 5683 +0.0043 -0.0004 0.601
830.4949 vG 5858 +0.0034 -0.0009 0.619
834.234 JS 5889 +0.0059 +0.0017 0.622
844.4771 vG 5974 +0.0035 -0.0004 0.631
849.5396 vG 6016 +0.0036 -0.0003 0.635
850.3839 vG 6023 +0.0041 +0.0003 0.636
.5034 vG 6024 +0.0031 -0.0007 0.636
871.3567 vG 6197 +0.0038 +0.0005 0.654
39052.5129 vG 7700 -0.0039 -0.0020 0.808
.6355 vG 7701 -0.0018 +0.0001 0.808
054.5631 vG 7717 -0.0028 -0.0008 0.810
.6846 vG 7718 -0.0018 +0.0002 0.810
092.7726 Bi 8034 -0.0029 +0.0002 0.842
121.7007 Bi 8274 -0.0031 +0.0006 0.867
130.4981 vG 8347 -0.0048 -0.0009 0.874
145.4461 vG 8471 -0.0031 +0.0011 0.887
.5642 vG 8472 -0.0055 -0.0013 0.887
205.4706 vG 8969 -0.0050 +0.0002 0.938
527.5441 Sz 11641 -0.0007 +0.0004 0.213
528.6288 Sz 11650 -0.0008 +0.0002 0.214
531.401 JS 11673 -0.0010 +0.0001 0.216
905.3070 Sz 14775 +0.0058 -0.0001 0.535
40243.3996 Sz 17580 -0.0020 +0.0001 0.823
(349.3521 WW 18459 +0.0003 +0.0047 0.913)
(664.4239 Po 21073 -0.0061 -0.0044 0.181)
41035.443 Sz 24151 +0.0066 +0.0001 0.498
312.4276 Sz 26449 +0.0020 +0.0004 0.734
390.4113 Sz 27096 -0.0004 +0.0003 0.800
678.8475 BM 29489 -0.0042 0.0000 0.046
679.5714 Sz 29495 -0.0035 +0.0007 0.047
.6913 Sz 29496 -0.0041 +0.0001 0.047
683.7909 BM 29530 -0.0027 +0.0014 0.050
.9096 BM 29531 -0.0045 -0.0004 0.050
684.0312 BM 29532 -0.0035 +0.0007 0.050
42106.3947 Sz 33036 +0.0058 -0.0007 0.410
129.5391 KM 33228 +0.0075 +0.0007 0.430
136.2887 KM 33284 +0.0071 +0.0002 0.436
.4091 KM 33285 +0.0070 +0.0001 0.436
.5294 KM 33286 +0.0067 -0.0001 0.436
162.4450 KM 33501 +0.0073 +0.0002 0.458
451.4834 Sz 35899 +0.0031 -0.0005 0.704
454.4971 Sz 35924 +0.0034 -0.0001 0.707
531.7560 Af 36565 -0.0006 -0.0018 0.773
532.7210 Af 36573 +0.0001 -0.0010 0.774
533.6852 Af 36581 +0.0001 -0.0011 0.774
837.3091 Du 39100 -0.0034 -0.0001 0.033
841.2875 Du 39133 -0.0027 +0.0006 0.037
871.4218 KM 39383 -0.0021 +0.0009 0.062
872.3861 KM 39391 -0.0021 +0.0009 0.063
874.3152 KM 39407 -0.0016 +0.0014 0.065
.4352 KM 39408 -0.0021 +0.0008 0.065
43232.4309 HW 42378 +0.0050 -0.0016 0.370
257.3835 GE 42585 +0.0068 -0.0003 0.391
258.4685 GE 42594 +0.0070 -0.0001 0.392
287.3985 GE 42834 +0.0087 +0.0010 0.417
288.3600 GE 42842 +0.0059 -0.0018 0.417
578.3668 Sz 45248 +0.0057 -0.0002 0.665
879.5758 Sz 47747 -0.0020 -0.0004 0.921
931.4059 Sz 48177 -0.0019 +0.0002 0.965
44222.3817 Ga 50591 +0.0027 +0.0002 0.213
257.4574 Ga 50882 +0.0027 -0.0009 0.243
261.3156 Ga 50914 +0.0038 +0.0001 0.247
.4359 Ga 50915 +0.0036 -0.0002 0.247
262.2787 Ga 50922 +0.0026 -0.0011 0.247
269.2711 Ga 50980 +0.0040 0.0000 0.253
578.2099 JE 53543 +0.0119 +0.0020 0.517
590.1415 JE 53642 +0.0105 +0.0006 0.527
591.3465 JE 53652 +0.0102 +0.0003 0.528
592.1907 JE 53659 +0.0106 +0.0008 0.529
606.2899 JE 53776 +0.0072 -0.0026 0.541
607.1374 JE 53783 +0.0110 +0.0012 0.541
.2570 JE 53784 +0.0100 +0.0003 0.541
610.2709 JE 53809 +0.0106 +0.0008 0.544
611.1149 JE 53816 +0.0108 +0.0011 0.545
999.2205 JE 57036 -0.0059 -0.0067 0.875
45001.1553 JE 57052 +0.0003 -0.0004 0.877
.2758 JE 57053 +0.0003 -0.0005 0.877
002.1192 JE 57060 -0.0001 -0.0008 0.878
.2398 JE 57061 0.0000 -0.0007 0.878
(079.3405 BY 57701 -0.0416 -0.0412 0.944)
390.3636 BE 60281 +0.0014 -0.0025 0.209
739.2014 JE 63175 +0.0112 -0.0004 0.506
740.0449 JE 63182 +0.0110 -0.0006 0.507
.1672 JE 63183 +0.0128 +0.0012 0.507
.2870 JE 63184 +0.0120 +0.0004 0.507
758.3670 Pp 63334 +0.0118 +0.0002 0.522
759.3310 Pp 63342 +0.0115 -0.0001 0.523
761.2612 Pp 63358 +0.0131 +0.0016 0.525
.3813 Pp 63359 +0.0127 +0.0012 0.525
767.0468 JE 63406 +0.0131 +0.0015 0.530
46038.4852 Pp 65658 +0.0069 +0.0009 0.761
.6061 Pp 65659 +0.0073 +0.0013 0.761
039.4493 Pp 65666 +0.0067 +0.0008 0.762
466.5001 Pp 69209 +0.0024 -0.0007 0.126
467.4653 Pp 69217 +0.0033 +0.0002 0.127
Remarks to Table 2:
Sc = Schneller (1961);
Eg = Eggen (1962);
Sz = Szeidl (1983);
HX = He Tian-Jian and Xiong Da-run (1964);
vG = van Genderen (1963, 1967);
Br = Broglia (1963);
JS = Joshi and Srivastava (1967);
Bi = Binnendijk (1968);
WW = Wisse and Wisse (1969);
Po = Popovici (1971);
BM = Barnes and Moffett (1975);
KM = Karetnikov and Medvedev (1977, 1978);
Af = Africano (1978);
Du = Duerbeck (1976);
HW = Hopp and Witzigmann (1979);
GE = Garrido et al. (1979);
Pa = Garbusov (1980);
JE = Jiang Shi-yang et al. (1985);
BY = Braune and Mundry (1982);
BE = Braune et al. (1983);
Pp = Present paper.
In columns 4 and 5 of Table 2 the (O-C) _lin residuals from the linear
portion of Eq.(1) and the O-C residuals determined by Eq.(1) are given. The
phases of the sinusoid are also given in column 6 of Table 2. Figure 1
indicates the goodness of the fit for the non-linear ephemeris. It shows
the residuals from the linear part in Eq.(1) versus epoch number E and
the non-linear fit is drawn in.
Figure 1. (O-C)_lin versus E. The solid line indicates the goodness
of fit for the non-linear ephemeris Eq.(1); the dashed line shows
the secular variation in the pulsation period.
CONCLUSIONS
Taking into account all the photoelectric maxima available up to 1986
has led unambiguously to the conclusion that the orbital period of the system
is 1173.5 +- 2.0 days. Bardin and Imbert (1984) obtained a slightly longer
period (1181.5 days) probably because they took into account the early radial
velocity measurements of low accuracy in their period determination. The
difference cannot be explained by the fact that we assumed a circular orbit.
Using our solution for Eq. (1) we can deduce the following characteristics
of the binary system if we assume that the orbit is circular:
a_SZ*sin i = cA = (147.4 +- 3.4)*10^6km = 0.99 +- 0.03 AU
K_SZ = cA*(2pi/P_B) = 9.13 +- 0.21 km*s^-1
f(M_2) = (0.093 +- 0.006)M_Sun
As Bardin and Imbert (1984) derived a large value for the eccentricity
(e=0.19) of the orbit from the radial velocity observations, our results
can only be regarded as tentative. An attempt to derive the orbital elements
from the O-C residuals of light maxima of SZ Lyn allowing non-circular orbit
is planned in a forthcoming paper.
We were able to determine an intrinsic secular change of
beta=(+2.96+-0.15)*10^-12 day*cycle^-1 in the pulsation period of SZ Lyn.
This change is in agreement with the evolutionary theories: the high amplitude
delta Scuti star SZ Lyn is evolving off from the main sequence (see, for
example, the evolutionary track of the star with a mass of 1.7
M_Hel in Percy et al., 1980).
ACKNOWLEDGEMENTS
The authors are grateful to Dr. Katalin Olah, Dr. Margit Paparo, and Mr.
A. Mizser for their help in the computations and observations.
Budapest - Szabadsaghegy, 6 October 1986
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Table 3a
Yellow observations obtained at Kottamia Observatory
(SZ Lyn - BD +44 1714)
J.D. Delta v J.D. Delta v J.D. Delta v J.D. Delta v
2445758 2445758 2445759 2445761
.2694 -0.334 .4044 -0.229 .3446 -0.463 .3153 -0.120
.2722 .294 .4098 .186 .3477 .433 .3179 .093
.2767 .260 .4127 .169 .3510 .433 .3209 .091
.2797 .234 .4159 .152 .3542 .409 .3243 .083
.2823 .223 .4189 .125 .3554 .385 .3269 .074
.2853 .212 .4239 .093 .3582 .335 .3299 .066
.2882 .193 .4266 .091 .3613 .352 .3345 .051
.2898 .168 .4295 .080 .3644 .327 .3373 .029
.2928 .157 .4323 .059 .3658 -0.301 .3405 .014
.2958 .137 .4350 .067 .3440 .024
.2985 .134 .4377 .055 2445761 .3471 .041
.3017 .114 .4402 .053 .2516 -0.415 .3501 .045
.3121 .060 .4427 .039 .2545 .476 .3644 .198
.3325 .029 .4452 .037 .2574 .511 .3670 .245
.3354 .039 .4619 .034 .2603 .519 .3698 .333
.3386 .049 .4652 .067 .2627 .518 .3728 .419
.3418 .076 .4678 -0.099 .2655 .515 .3765 .493
.3459 .120 .2794 .376 .3799 .534
.3493 .185 2445759 .2821 .343 .3830 .534
.3529 .269 .2905 -0.038 .2847 .319 .3860 .511
.3565 .361 .2940 .053 .2873 .303 .4006 .355
.3604 .493 .2971 .047 .2902 .291 .4034 .345
.3633 .552 .3004 .062 .2930 .264 .4061 .305
.3663 .572 .3037 .087 .2956 .261 .4096 .290
.3690 .573 .3069 .122 .2984 .236 .4124 .262
.3853 .383 .3109 .166 .3014 .217 .4152 .245
.3883 .369 .3143 .227 .3039 .205 .4235 .189
.3914 .330 .3178 .319 .3065 .190 .4259 .182
.3942 .313 .3211 .404 .3090 .174 .4291 .160
.3983 .274 .3244 .512 .3116 .155 .4317 -0.145
.4014 -0.252 .3276 -0.551 .3125 -0.133
Table 3b
Blue observations obtained at Kottamia Observatory
(SZ Lyn - BD +44 1714)
J.D. Delta b J.D. Delta b J.D. Delta b J.D. Delta b
2445758 2445758 2445758 2445758
.2697 -0.658 .2994 -0.395 .3542 -0.623 .3951 -0.609
.2735 .614 .3025 .359 .3586 .799 .3991 .572
.2776 .569 .3128 .322 .3613 .903 .4023 .541
.2808 .537 .3332 .281 .3642 .953 .4053 .514
.2839 .519 .3363 .299 .3672 .970 .4105 .463
.2862 .502 .3393 .317 .3701 .955 .4136 .441
.2907 .452 .3427 .343 .3862 .747 .4168 .410
.2937 .433 .3468 .415 .3892 .698 .4220 .377
.2966 -0.414 .3506 -0.517 .3923 -0.666 .4246 -0.359
Table 3b (cont)
J.D. Delta b J.D. Delta b J.D. Delta b J.D. Delta b
2445758 2445759 2445761 2445761
.4275 -0.342 .3187 -0.667 .2829 -0.678 .3447 -0.282
.4304 .324 .3222 .793 .2854 .645 .3480 .304
.4330 .314 .3253 .900 .2880 .619 .3510 .308
.4359 .305 .3283 .914 .2910 .596 .3651 .519
.4384 .304 .3302 .934 .2937 .572 .3677 .609
.4409 .283 .3455 .812 .2965 .553 .3707 .714
.4434 .283 .3488 .779 .2989 .532 .3737 .818
.4459 .282 .3519 .746 .3021 .506 .3774 .893
.4626 .301 .3561 .675 .3046 .490 .3807 .939
.4660 .355 .3592 .623 .3072 .467 .3837 .928
.4686 -0.386 .3623 .631 .3099 .445 .3878 .885
.3667 -0.568 .3134 .407 .4013 .707
2445759 .3160 .389 .4043 .677
.2919 -0.307 2445761 .3188 .363 .4073 .646
.2949 .310 .2525 -0.802 .3218 .350 .4103 .614
.2984 .303 .2553 .867 .3250 .423 .4133 .576
.3017 .326 .2583 .906 .3276 .320 .4159 .555
.3046 .367 .2610 .911 .3313 .315 .4240 .487
.3076 .398 .2636 .904 .3354 .303 .4266 .468
.3117 .464 .2662 .891 .3380 .266 .4298 .447
.3154 -0.558 .2801 -0.710 .3417 -0.259 .4326 -0.435
Table 3c
Ultraviolet observations obtained at Kottamia Observatory
(SZ Lyn - BD +44 1714)
J.D. Delta u J.D. Delta u J.D. Delta u J.D. Delta u
2445758 2445758 2445758 2445761
.2710 -0.537 .3874 -0.594 .4697 -0.327 .2536 -0.727
.2753 .512 .3905 .576 .2564 .767
.2819 .453 .3933 .525 2445759 .2594 .782
.2846 .449 .3962 .505 .2931 -0.220 .2620 .771
.2919 .382 .4005 .499 .2963 .211 .2648 .769
.2950 .358 .4035 .471 .2996 .229 .2675 .757
.2976 .333 .4089 .419 .3029 .246 .2814 .594
.3009 .318 .4120 .399 .3060 .300 .2840 .565
.3037 .303 .4150 .366 .3091 .352 .2865 .542
.3141 .279 .4180 .331 .3133 .437 .2895 .517
.3347 .253 .4230 .315 .3168 .515 .2923 .493
.3375 .268 .4259 .302 .3201 .626 .2949 .486
.3408 .303 .4286 .288 .3236 .710 .2977 .463
.3441 .317 .4314 .260 .3267 .781 .3000 .450
.3483 .422 .4341 .259 .3317 .804 .3032 .430
.3520 .509 .4368 .257 .3467 .681 .3056 .406
.3556 .599 .4393 .240 .3502 .644 .3081 .403
.3597 .715 .4418 .237 .3533 .634 .3109 .370
.3620 .792 .4443 .264 .3575 .585 .3144 .345
.3653 .841 .4470 .248 .3606 .565 .3172 .328
.3681 .821 .4635 .266 .3636 -0.534 .3201 .304
.3710 -0.752 .4669 -0.297 .3229 -0.279
Table 3c (cont)
J.D. Delta u J.D. Delta u J.D. Delta u J.D. Delta u
2445761 2445761 2445761 2445761
.3260 -0.258 .3492 -0.263 .3820 -0.800 .4143 -0.467
.3287 .277 .3522 .267 .3851 .784 .4168 .426
.3329 .259 .3663 .482 .3890 .755 .4252 .377
.3362 .260 .3689 .567 .4025 .586 .4280 .358
.3392 .200 .3719 .643 .4055 .559 .4310 .341
.3433 .242 .3753 .742 .4085 .531 .4337 -0.327
.3461 -0.249 .3786 -0.799 .4108 -0.493
Table 4a
Yellow observations obtained at Konkoly Observatory
(SZ Lyn - BD +45 1544)
J.D. Delta V J.D. Delta V J.D. Delta V J.D. Delta V
2446038 2446038 2446038 2446466
.4447 +0.169 .5270 +0.008 .6052 -0.357 .4379 +0.098
.4460 .168 .5283 .020 .6065 .362 .4389 .089
.4473 .162 .5297 .028 .6117 .330 .4398 .098
.4487 .153 .5350 .065 .6130 .304 .4407 .107
.4500 .158 .5364 .072 .6143 .295 .4456 .120
.4558 .141 .5377 .079 .6156 .282 .4465 .122
.4571 .136 .5390 .093 .6170 .266 .4474 .125
.4585 .128 .5404 .091 .6223 .198 .4484 .124
.4598 .114 .5462 .119 .6237 .180 .4496 .116
.4611 +0.111 .5476 .120 .6251 .170 .4590 .162
.4705 -0.056 .5488 .125 .6264 .160 .4599 .159
.4718 .097 .5502 .135 .6278 .138 .4609 .159
.4731 .134 .5516 .130 .6334 .111 .4652 .155
.4744 .183 .5571 .160 .6348 .098 .4661 .151
.4758 .229 .5584 .166 .6361 .076 .4671 .159
.4813 .332 .5597 .172 .6374 .071 .4680 .164
.4827 .336 .5611 .171 .6388 -0.062 .4690 .161
.4840 .347 .5624 .194 .4729 .159
.4853 .352 .5679 .204 2446039 .4738 .192
.4867 .341 .5692 .192 .4338 -0.044 .4747 .154
.4918 .311 .5706 .195 .4352 .069 .4757 .164
.4931 .301 .5719 .191 .4365 .107 .4820 .056
.4944 .292 .5733 .176 .4378 .156 .4830 .012
.4958 .283 .5793 .138 .4391 .194 .4840 +0.001
.4971 .279 .5806 .134 .4405 .212 .4849 -0.004
.5030 .193 .5819 .115 .4418 .246 .4888 .140
.5044 .179 .5832 .099 .4432 .246 .4897 .163
.5057 .164 .5846 +0.078 .4487 .354 .4906 .200
.5070 .142 .5901 -0.041 .4501 .353 .4915 .219
.5084 .139 .5915 .064 .4515 .324 .4925 .252
.5137 .071 .5928 .109 .4528 .325 .4964 .334
.5164 .043 .5941 .155 .4581 .283 .4974 .351
.5177 .029 .5955 .186 .4638 -0.252 .4983 .358
.5191 -0.036 .6012 .317 .4993 .363
.5243 +0.021 .6025 .330 2446466 .5002 .358
.5256 +0.001 .6038 -0.348 .4370 +0.093 .5041 -0.347
Table 4a (cont)
J.D. Delta V J.D. Delta V J.D. Delta V J.D. Delta V
2446466 2446466 2446467 2446467
.5051 -0.341 .5466 +0.035 .4566 -0.246 .4919 -0.111
.5060 .324 .5476 +0.046 .4575 .257 .4928 .097
.5069 .325 .4612 .322 .4937 .095
.5079 .308 2446467 .4621 .335 .4947 .089
.5120 .283 .4304 +0.180 .4630 .338 .4956 .076
.5129 .278 .4314 .185 .4640 .345 .4992 .040
.5138 .272 .4323 .172 .4649 .347 .5002 .028
.5148 .262 .4332 .165 .4688 .341 .5011 .026
.5211 .177 .4342 .168 .4698 .332 .5020 .018
.5220 .173 .4386 .128 .4707 .330 .5030 -0.010
.5229 .173 .4396 .126 .4717 .319 .5068 +0.019
.5276 .117 .4405 .115 .4726 .308 .5077 .021
.5286 .096 .4414 .102 .4765 .278 .5087 .023
.5304 .050 .4423 .085 .4775 .270 .5096 .052
.5356 .031 .4463 .023 .4784 .249 .5105 .046
.5365 .027 .4472 +0.009 .4794 .244 .5220 .121
.5375 .011 .4481 -0.017 .4803 .220 .5229 .124
.5384 .008 .4491 .026 .4843 .188 .5305 .144
.5393 -0.003 .4500 .049 .4853 .172 .5314 .149
.5438 +0.021 .4538 .170 .4862 .156 .5324 .141
.5447 .030 .4547 .202 .4871 .144 .5333 .149
.5457 +0.035 .4556 -0.221 .4881 -0.137 .5342 +0.145
Table 4b
Blue observations obtained at Konkoly Observatory
(SZ Lyn - BD +45 1544)
J.D. Delta B J.D. Delta B J.D. Delta B J.D. Delta B
2446038 2446038 2446038 2446038
.4451 +0.071 .4935 -0.535 .5395 -0.020 .5850 -0.066
.4465 .073 .4949 .518 .5408 -0.022 .5905 .213
.4478 .063 .4962 .507 .5467 +0.029 .5919 .235
.4492 .067 .4976 .496 .5480 .031 .5932 .304
.4505 .053 .5034 .401 .5493 .044 .5946 .342
.4562 .021 .5048 .379 .5507 .052 .5959 .412
.4575 .016 .5061 .347 .5520 .061 .6016 .561
.4589 +0.001 .5075 .327 .5575 .077 .6030 .586
.4602 -0.008 .5088 .300 .5588 .086 .6043 .596
.4616 .016 .5142 .219 .5602 .086 .6056 .606
.4709 .235 .5155 .212 .5615 .111 .6070 .605
.4722 .285 .5182 .189 .5629 .095 .6121 .566
.4736 .337 .5195 .176 .5683 .104 .6134 .545
.4749 .388 .5248 .146 .5697 .099 .6148 .524
.4763 .436 .5261 .133 .5710 .097 .6161 .507
.4817 .568 .5274 .120 .5724 .089 .6174 .494
.4831 .583 .5288 .105 .5737 .077 .6228 .399
.4844 .581 .5301 .093 .5797 .022 .6242 .374
.4858 .590 .5354 .058 .5810 +0.011 .6255 .351
.4871 .585 .5368 .038 .5824 -0.002 .6268 .347
.4922 -0.537 .5381 -0.030 .5837 -0.032 .6282 -0.315
Table 4b (cont)
J.D. Delta B J.D. Delta B J.D. Delta B J.D. Delta B
2446038 2446466 2446466 2446467
.6339 -0.262 .4664 +0.073 .5359 -0.161 .4692 -0.596
.6352 .241 .4673 .076 .5368 .164 .4701 .578
.6365 .221 .4683 .084 .5377 .153 .4710 .571
.6379 .205 .4693 .084 .5387 .143 .4720 .556
.6392 -0.184 .4732 .079 .5396 .137 .4729 .529
.4742 .097 .5441 .091 .4768 .483
2446039 .4751 .091 .5450 .085 .4778 .464
.4343 -0.252 .4760 +0.051 .5460 .084 .4787 .451
.4356 .303 .4815 -0.079 .5469 .070 .4797 .425
.4369 .344 .4824 .097 .5479 -0.057 .4806 .417
.4383 .393 .4833 .133 .4846 .360
.4396 .446 .4843 .162 2446467 .4856 .344
.4410 .496 .4891 .318 .4307 +0.101 .4865 .336
.4423 .519 .4900 .383 .4317 .096 .4874 .326
.4436 .535 .4909 .416 .4326 .093 .4884 .306
.4492 .616 .4919 .441 .4335 .092 .4922 .266
.4506 .606 .4928 .484 .4345 .081 .4931 .255
.4519 .593 .4968 .568 .4389 .048 .4940 .245
.4532 .554 .4977 .582 .4399 .032 .4950 .233
.4586 .526 .4986 .582 .4408 .021 .4959 .221
.4642 -0.390 .4995 .577 .4417 .019 .4995 .179
.5004 .586 .4427 +0.002 .5005 .166
2446466 .5044 .565 .4466 -0.100 .5014 .181
.4373 +0.006 .5054 .559 .4475 .127 .5024 .173
.4382 .013 .5063 .550 .4484 .155 .5033 .146
.4392 .031 .5073 .530 .4494 .187 .5071 .124
.4401 .020 .5082 .521 .4503 .222 .5080 .116
.4410 .028 .5123 .488 .4541 .365 .5090 .114
.4459 .042 .5132 .475 .4549 .408 .5099 .064
.4468 .043 .5141 .474 .4559 .446 .5108 -0.066
.4477 .058 .5151 .444 .4569 .474 .5223 +0.041
.4487 .045 .5214 .353 .4578 .496 .5232 .056
.4499 .056 .5223 .347 .4614 .575 .5308 .045
.4593 .091 .5232 .334 .4624 .594 .5317 .051
.4603 .071 .5279 .259 .4633 .598 .5327 .048
.4612 .085 .5289 .230 .4643 .604 .5336 .060
.4655 +0.076 .5307 -0.214 .4652 -0.611 .5345 +0.053
Table 4c
Ultraviolet observations obtained at Konkoly Observatory
(SZ Lyn - BD +45 1544)
J.D. Delta U J.D. Delta U J.D. Delta U J.D. Delta U
2446038 2446038 2446038 2446038
.4456 +0.160 .4580 +0.112 .4740 -0.207 .4862 -0.417
.4469 .192 .4593 .111 .4754 .265 .4875 .414
.4483 .185 .4607 .105 .4767 .292 .4926 .374
.4496 .175 .4620 +0.110 .4822 .404 .4940 .363
.4509 .189 .4713 -0.127 .4835 .421 .4953 .349
.4567 +0.133 .4727 -0.174 .4848 -0.416 .4967 -0.347
Table 4c (cont)
J.D. Delta U J.D. Delta U J.D. Delta U J.D. Delta U
2446038 2446038 2446466 2446467
.4980 -0.347 .6139 -0.366 .4745 +0.185 .4487 -0.052
.5039 .238 .6152 .333 .4754 .167 .4497 .092
.5052 .217 .6166 .323 .4763 .137 .4506 .109
.5066 .201 .6179 .306 .4818 .027 .4544 .247
.5079 .173 .6233 .222 .4827 +0.004 .4553 .278
.5092 .157 .6246 .203 .4836 -0.027 .4562 .304
.5159 .040 .6259 .192 .4855 .077 .4572 .321
.5173 .022 .6273 .164 .4893 .187 .4581 .346
.5186 .024 .6286 .152 .4903 .241 .4618 .418
.5199 -0.023 .6343 .095 .4912 .256 .4627 .428
.5252 +0.003 .6356 .103 .4922 .296 .4636 .447
.5265 .018 .6369 .078 .4931 .324 .4646 .450
.5279 .048 .6383 .044 .4971 .381 .4655 .448
.5292 .053 .6397 -0.031 .4980 .395 .4695 .433
.5305 .049 .4989 .402 .4704 .413
.5359 .101 2446039 .4999 .401 .4714 .394
.5373 .093 .4347 -0.171 .5008 .418 .4723 .386
.5386 .100 .4360 .193 .5047 .385 .4732 .366
.5399 .115 .4374 .243 .5057 .383 .4772 .301
.5412 .115 .4387 .283 .5066 .356 .4781 .286
.5471 .164 .4401 .314 .5076 .343 .4790 .261
.5484 .161 .4414 .352 .5085 .347 .4800 .245
.5498 .166 .4427 .350 .5126 .314 .4809 .224
.5511 .174 .4441 .362 .5144 .309 .4849 .193
.5524 .181 .4496 .421 .5154 .285 .4859 .174
.5579 .227 .4510 .411 .5226 .181 .4868 .160
.5593 .205 .4523 .405 .5235 .173 .4877 .152
.5606 .210 .4537 .358 .5245 .157 .4887 .142
.5620 .220 .4590 .355 .5282 .112 .4925 .116
.5633 .220 .4646 -0.230 .5292 .092 .4934 .102
.5688 .223 .5310 .067 .4943 .112
.5701 .223 2446466 .5362 .025 .4953 .089
.5715 .215 .4376 +0.117 .5371 .026 .4962 .078
.5728 .214 .4385 .142 .5381 .025 .4999 .037
.5741 .202 .4394 .140 .5390 .021 .5008 .054
.5801 .137 .4404 .143 .5399 -0.009 .5017 .043
.5815 .144 .4414 .138 .5026 .036
.5828 .105 .4462 .161 2446467 .5036 .027
.5842 .071 .4471 .168 .4310 +0.222 .5074 -0.008
.5855 +0.054 .4480 .164 .4320 .223 .5083 +0.007
.5910 -0.086 .4489 .162 .4329 .205 .5093 .028
.5923 .133 .4596 .195 .4338 .208 .5102 .060
.5937 .184 .4606 .182 .4348 .195 .5111 .080
.5950 .223 .4615 .201 .4392 .133 .5226 .148
.5964 .279 .4658 .196 .4401 .131 .5235 .151
.6021 .389 .4668 .177 .4411 .121 .5311 .174
.6034 .420 .4677 .181 .4420 .104 .5320 .175
.6048 .436 .4686 .183 .4430 +0.078 .5330 .184
.6061 .440 .4696 .188 .4469 -0.005 .5339 .185
.6074 .435 .4735 +0.176 .4478 -0.010 .5349 +0.184
.6125 -0.376