Application of the method of maximum likelihood to the determination of cepheid radii

Details Application of the method of maximum likelihood to the determination of cepheid radii Application of the method of maximum likelihood to the determination of cepheid radii

Jan 1977

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1977mnras.178..231b&link_type=abstract

Monthly Notices of the Royal Astronomical Society, vol. 178, Jan. 1977, p. 231-243.

Astronomy and Astrophysics

Astronomy

119

Binary Stars, Cepheid Variables, Maximum Likelihood Estimates, Size Determination, Stellar Spectrophotometry, Error Analysis, Pulsed Radiation, Radial Velocity, Radii, Stellar Luminosity, Stellar Temperature

Scientific paper

A method is described whereby the radius of any pulsating star can be obtained by applying the principle of maximum likelihood. The relative merits of this method and of the usual Baade-Wesselink method are discussed. The new method is applied to 54 well-observed Cepheids which include a number of spectroscopic binaries and two W Vir stars. An empirical period-radius relation is constructed and discussed in terms of two recent period-luminosity-color calibrations. It is shown that the new method gives radii with an error of no more than 10 per cent.

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