Improvements on analytic modelling of stellar spots
M. Montalto (1), G. Bou\'e (3), M. Oshagh (1,2), I. Boisse (4), G., Bruno (4), N. C. Santos (1,2) ((1) Centro de Astrof\'isica da Universidade do, Porto (CAUP), (2) Departamento de F\'isica e Astronomia, Faculdade de, Ciencias, Universidade do Porto, (3) University of Chicago
TL;DR
This paper introduces an efficient analytical method based on the Kelvin-Stokes theorem for modeling stellar spots, accommodating arbitrary spot locations and sizes, and incorporating limb darkening effects up to second degree.
Contribution
It presents a novel analytical solution for stellar spot modeling that improves computational efficiency and flexibility over previous methods.
Findings
Applicable to any spot location and size
Incorporates limb darkening up to second degree
Enables efficient calculation of photometric effects
Abstract
In this work we present the solution of the stellar spot problem using the Kelvin-Stokes theorem. Our result is applicable for any given location and dimension of the spots on the stellar surface. We present explicitely the result up to the second degree in the limb darkening law. This technique can be used to calculate very efficiently mutual photometric effects produced by eclipsing bodies occulting stellar spots and to construct complex spot shapes.
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