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Analytic Light Curves for Planetary Transit Searches

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Mandel, Kaisey, Agol, Eric·2002·The Astrophysical Journal

Abstract

We present exact analytic formulae for the eclipse of a star described by quadratic or nonlinear limb darkening. In the limit that the planet radius is less than a tenth of the stellar radius, we show that the exact light curve can be well approximated by assuming the region of the star blocked by the planet has constant surface brightness. We apply these results to the Hubble Space Telescope observations of HD 209458, showing that the ratio of the planetary to stellar radii is 0.1207 ± 0.0003. These formulae give a fast and accurate means of computing light curves using limb-darkening coefficients from model atmospheres that should aid in the detection, simulation, and parameter fitting of planetary transits.

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Metadata

Authors
Mandel, K., & Agol, E.
Venue
The Astrophysical Journal
Published
2002-12-01
Volume
580
Issue
2
Pages
L171-L175
ISSN
  • 0004-637X (ISSN-L)
  • 1538-4357
OpenAlex
W2029167399
Cited by
2,256
References
1
FWCI
4.65
Type
journal article
Language
en
Open access
bronze

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CoChat. (2026). Citation check: Analytic Light Curves for Planetary Transit Searches. https://app.cochat.ai/papers/10.1086/345520
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Mandel, K., & Agol, E. (2002). Analytic Light Curves for Planetary Transit Searches. The Astrophysical Journal. https://doi.org/10.1086/345520

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Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).

Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.