Potential accuracy of speckle-interferometric measurements Angular diameters and limb darkening of stars

Details Potential accuracy of speckle-interferometric measurements Angular diameters and limb darkening of stars Potential accuracy of speckle-interferometric measurements Angular diameters and limb darkening of stars

Apr 1986

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1986azh....63..389k&link_type=abstract

(Astronomicheskii Zhurnal, vol. 63, Mar.-Apr. 1986, p. 389-398) Soviet Astronomy (ISSN 0038-5301), vol. 30, Mar.-Apr. 1986, p. 2

Statistics

Computation

2

Astrometry, Error Analysis, Interferometry, Limb Darkening, Speckle Patterns, Stellar Magnitude, Brightness Distribution, Computational Astrophysics, Diameters, Power Spectra

Scientific paper

The potentialities of the joint estimation of several unknown parameters of an arbitrary object from the results of measuring the power spectrum of speckle images are investigated. A typical problem of the joint estimation of the angular diameter and the coefficient of limb darkening of a stellar disk with a linear darkening law is analyzed. It is shown that strongly correlated estimates of the unknown parameters are obtained in this case, regardless of the means of estimation, and the correlation coefficient of the jointly effective (Kramer-Rao) estimates is a function of the observation circumstances and the characteristics of the observed object. An optimum strategy for solving this problem is proposed, allowing for the invariance of the average number of detected photons per speckle for different models describing the brightness distribution over a stellar disk. The results obtained make it possible to plan an experiment to solve the problem of measuring the angular diameter and limb darkening of a star by the method of speckle interferometry.

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