Synthetic Light Curves of Spotted Stars: Unique or Not Unique?

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Scientific paper

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Stars: Activity, Stars: Variables: Other Spotted

Scientific paper

The inverse photometric problem has been solved for classical one-spot models. Analytical formulae are presented to obtain spot parameters [size (r), location (λ,β), temperature (Ts), and the inclination of rotation axis (i)] directly from light curves. Original spot parameters have been recovered successfully from the given V and R synthetic curves of various test models. The effective temperature of the photosphere and the linear limb-darkening coefficients at two color bands are only a priori knowledge to derive the rest of the parameters. Nonunique values of i and β, which are obtained as two pairs (i, β), are the results of circular symmetry of the spot shape on a spherical star. The problem is overcome if noncircular shape or multiple spots were used. Generalization of given formulas to multispot modeling is introduced briefly. Consistency of starspot modeling and uniqueness of light curves with respect to the parameters are discussed.

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