Statistics – Computation
Scientific paper
May 1986
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1986apj...304..607m&link_type=abstract
Astrophysical Journal, Part 1 (ISSN 0004-637X), vol. 304, May 15, 1986, p. 607-616.
Statistics
Computation
16
Cepheid Variables, Distance, Functions (Mathematics), Galaxies, Stellar Oscillations, Stellar Spectrophotometry, Computational Astrophysics, Line Spectra
Scientific paper
The properties of the Feinheit functions and their use in Cepheid distance determination are examined. Three Feinheit-type functions have been proposed: the W function of van den Bergh (1968, 1975), the Wesenheit function of Madore (1985) and the random-phase F function of Madore. The W function permits formation of a color-independent W-log P relation which is useful for distance determination and which is relatively insensitive to reddening. The Wesenheit function permits formation of a reddening free index for Cepheids, but not a color-independent Wesenheit-log P relation. Finally, the fundamental assumption of the random-phase Feinheit function F is shown to be false, leading to a nonlinear F-log P relation. The nature of the nonlinearity depends upon galactic properties which may differ from galaxy to galaxy. Distances obtained from the random-phase Feinheit function may be in error by several tenths of a magnitude as a result.
Barnes Thomas G. III
Moffett Thomas Joseph
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