Astronomy and Astrophysics – Astronomy
Scientific paper
Nov 1996
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1996mnras.283..471k&link_type=abstract
Monthly Notices of the Royal Astronomical Society, Vol. Vol. 283, No. 2, p. 471 - 537
Astronomy and Astrophysics
Astronomy
21
Galaxies: Active -- Intergalactic Medium -- Infrared: Galaxies -- Radio Continuum: Galaxies, Methods Of Reduction: Light Curves, Methods Of Reduction: Variables, Methods Of Reduction: Period Determination
Scientific paper
This paper attempts to place the modelling of period changes in variable stars on a sound quantitative basis. Two techniques for analysing observed sequences of a particular light-curve phase of interest (e.g. pulsational light maximum or eclipse minimum) are presented. The first is a maximum likelihood estimation procedure, suitable when the mean period is subject to changes that can be represented by a simple analytic functional form. The second method, state-space modelling, can be used in more general situations. Allowance is made for the effects of non-systematic random variations in the period, as well as for systematic long-term changes in the magnitude of measurement errors. The techniques are illustrated with simulated and real data.
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