Konkoly Observatory Budapest 10 April 2007 HU ISSN 0374 - 0676 (print) HU ISSN 1587 - 2440 (on-line) |
The determination of the exact time of observation has always been a
fundamental requirement in variable star research. The accuracy of
professional visual observations
(80-100 years ago) was around 10-30s, while the accuracy of time of
photographic or photoelectric observations has always been kept around
1s. Of course, the same
accuracy in time can be achieved by CCD observations.
If the accuracy in time of the observations is 1s, it does not mean that
the time of certain light curve parameters (light maxima, minima or
any given phase) can be derived
with an accuracy of 1s. If it were true, then this accuracy of times of
light maximum or minimum could have also been achieved by photographic or
photoelectric observers.
In fact, the accuracy of determination of the times of light maximum
or minimum depends very much on the accuracy of the observations
themselves. The errors are typically larger than 0.005
mag for small telescope CCD or photoelectric observations (depending on
telescope size, stellar brightness, quality of CCD chip, etc.). The
5-15s exposition times further
complicate the situation (during this time small changes in the
colour dependence of air mass, guiding errors of tiny refraction
changes, intrinsic changes in the brightness of the variable, etc. may occur).
Possible asymmetries of the minima (or maxima), the correctness
of the fitting formula, etc. also influence the accuracy of the
determination of the time of light minimum or maximum.
Taking into account the heliocentric correction may also be a severe
problem. The barycentric correction is usually ignored. As the
difference between the heliocentric
and the barycentric light time may reach 6x10-5 day it can
influence the 4th decimal of the JD!
If somebody claims that his/her light minimum or maximum data are
accurate to 10-5 day (=0.864s) he/she should give adequate
information about the procedure of the determination
of time of light minimum or maximum and the error estimate.
Technical issue on the value of the standard deviations
Standard deviation may serve as a measure of uncertainty. The reported
standard deviation should give the precision of those measurements. In
practice, one often assumes that the data are from an approximately
normally distributed population. If that assumption is justified, then
about 68% of the values are within 1 standard deviation of the mean, about
95% of the values are within two standard deviations and about 99.7% lie
within 3 standard deviations. This is known as the "68-95-99.7 rule", or
"the empirical rule". This also implies that in a measured numerical value
only that digit is meaningful which has at least the same order as the
standard deviation. To give further lower digits are meaningless because
they do not have any additional information on the measured value.
Times of minima observed in different colours
The times of minima of eclipsing binaries observed simultaneously in
different colours should be averaged. Different values of the same
minimum obtained in different colours can be separately published only
in cases when the time difference has a justified physical reason.
The Editors
variables from photometric data