A new method of detecting frequency variations in variable stars applied to the Beta Cephei star Delta Ceti

Astronomy and Astrophysics – Astrophysics

Scientific paper

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Cepheid Variables, Radial Velocity, Stellar Oscillations, Accuracy, Astronomical Photometry

Scientific paper

In the method to detect frequency variations in variable stars presented here, all observations over the entire oscillation cycle and the complete time span are used simultaneously. The method is superior to classic least-squares methods and yields a more accurate frequency change value than does the method in which frequency changes are determined by comparison of the frequencies in early and recent observations. A version of the method based on the phase dispersion minimization analysis was applied to the Beta Cephei star Delta Ceti. A frequency decrease of 0.000064 cycles/day per century, i.e., a period increase of 0.14 s per century, was found in the radial velocity observations. Since this result is in excellent agreement with the result of recent period studies of this star, the efficiency of the method is confirmed. The time span of the photometric observations is too short to detect frequency changes, but the most probable constant frequency agrees well with the value predicted from the radial velocities. No evidence for amplitude changes was found either in the radial velocities or in the light observations of Delta Ceti.

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