Astronomy and Astrophysics – Astronomy
Scientific paper
Jan 1982
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1982mnras.198...45s&link_type=abstract
Monthly Notices of the Royal Astronomical Society, vol. 198, Jan. 1982, p. 45-57. Research supported by the Science Research Co
Astronomy and Astrophysics
Astronomy
23
Binary Stars, Inclination, Least Squares Method, Polarimetry, Signal To Noise Ratios, Stellar Spectrophotometry, Canonical Forms, Harmonic Oscillation, Light Curve, Spectrum Analysis, Stellar Models
Scientific paper
It is shown that the polarimetric 'modelling' used by previous authors to obtain the least squares fit to polarimetric binary data will tend to yield inferred values of inclination greater than the true value. This statistical bias is most pronounced at high noise levels and low inclinations when the inferred value and the formal linear error will have no bearing on the actual value. As noise levels increase this inferred inclination approaches 90 deg. This complication in the parameter determination using the canonical model and least squares procedure has been obscured by the fact that the binaries observed tend, through selection effects, to have high inclinations. Errors for inclination which are established by formal techniques are seriously over optimistic except at extremely low noise levels.
Aspin Colin
Brown John C.
Simmons John F. L.
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