Improvements on analytic modelling of stellar spots

• DOI: 10.1093/mnras/stu1530
• Publication Date: 2014-08-30T20:43:35Z
• Authors: M. Montalto; G. Boué; M. Oshagh; I. Boisse; G. Bruno; N. C. Santos
• Keywords: Earth and Planetary Astrophysics (astro-ph.EP); [SDU.ASTR]Sciences of the Universe [physics]/Astrophysics [astro-ph]; Astrophysics - Solar and Stellar Astrophysics; Methods: Analytical; Stars: Activity; 0103 physical sciences; FOS: Physical sciences; [SDU.ASTR] Sciences of the Universe [physics]/Astrophysics [astro-ph]; 01 natural sciences; Solar and Stellar Astrophysics (astro-ph.SR); Astrophysics - Earth and Planetary Astrophysics

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.<br/>Resubmitted to MNRAS after accounting for minor comments of second review, 9 pages, 5 figures, software available at http://eduscisoft.com/KSINT/<br/>