Application of the Kalman Filter to Light Curves of Eclipsing Binaries

Astronomy and Astrophysics – Astrophysics

Scientific paper

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Scientific paper

Recently Kopal (1975a, b, c, d) initiated a new approach to the analysis of the light curves of eclipsing binary systems in which the solution is based on transforming the problem from the conventional time-domain into the frequency-domain. Irrespective of the type of eclipse, the present formulation of the frequency approach requires that a set of quantitiesA 2m, called moments, be determined from the observations. It is the purpose of the present paper to describe a data interpolation and smoothing technique based on a version of the Kalman filter to pre-process observations and to determine the quantitiesA 2m in an optimal sense.

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