Journal
MONTHLY NOTICES OF THE ROYAL ASTRONOMICAL SOCIETY
Volume 390, Issue 1, Pages 281-288Publisher
OXFORD UNIV PRESS
DOI: 10.1111/j.1365-2966.2008.13723.x
Keywords
methods: analytical; binaries: eclipsing; planetary systems
Categories
Funding
- Harvard-Smithsonian Center for Astrophysics
- HATNet project
- NASA [NNG04GN74G]
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In this paper, a set of analytic formulae is presented with which the partial derivatives of the flux obscuration function can be evaluated - for planetary transits and eclipsing binaries - under the assumption of quadratic limb darkening. The knowledge of these partial derivatives is crucial for many of the data modelling algorithms and estimates of the light-curve variations directly from the changes in the orbital elements. These derivatives can also be utilized to speed up some of the fitting methods. A gain of similar to 8 in computing time can be achieved in the implementation of the Levenberg-Marquardt algorithm, relative to using numerical derivatives.
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