2006/10/24 by David Heyrovsky, David Heyrovský · 3 citations
Mathematics · Physics and Astronomy · #Adaptive optics and wavefront sensing #Algorithm #Astrophysics #Atmosphere (unit) #Binary number #Flux (metallurgy) #Light curve #Limb darkening #Mathematics #Physics #Residual #Solar and Space Plasma Dynamics #Stars #Stellar atmosphere #Stellar, planetary, and galactic studies #Thermodynamics #astro-ph
paper · pdf · doi:10.1086/509566
published as Astrophys.J.656:483-492,2007 · 22 pages, 6 figures; accepted by The Astrophysical Journal
arxiv created 2006/10/24 · openalex publication_date 2007/02/03 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We explore the sensitivity of limb-darkening coefficients computed from stellar atmosphere models to different least-squares fitting methods. We demonstrate that conventional methods are strongly biased to fitting the stellar limb. Our suggested method of fitting by minimizing the radially integrated squared residual yields improved fits with better flux conservation. The differences of the obtained coefficients from commonly used values are observationally significant. We show that the new values are in better agreement with solar limb-darkening measurements, as well as with coefficients reported from analyses of eclipsing binary light curves.