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Application of the Kalman filter to light curves of eclipsing binaries

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Abstract

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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Authors and Affiliations

  1. Naval Research Laboratory, Washington, D.C., USA

    I. Jurkevich, W. W. Willman & A. F. Petty

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  1. I. Jurkevich
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  2. W. W. Willman
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  3. A. F. Petty
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Jurkevich, I., Willman, W.W. & Petty, A.F. Application of the Kalman filter to light curves of eclipsing binaries. Astrophys Space Sci 44, 63–83 (1976). https://doi.org/10.1007/BF00650473

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