Finding Cepheid maxima by means of a least-squares cubic

Astronomy and Astrophysics – Astronomy

Scientific paper

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Cepheid Variables, Least Squares Method, Light Curve, Stellar Spectrophotometry, Basic (Programming Language), Computer Programs, Cubic Equations, Error Analysis, Maxima

Scientific paper

Taking into consideration the limited computing resources available to the amateur, this discussion presents a least-squares cubic-approximation technique for the calculation of the phase of maximum light output of Cepheid variables. The method also lends itself to a straightforward calculation of the standard error of this least-squares estimate of the phase of maximum. A light curve obtained from visual observations of Delta Cephei is used to demonstrate this estimation method and, a BASIC program listing is included at the end of the discussion.

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