Analytic approximations for transit light curve observables, uncertainties, and covariances

The light curve of an exoplanetary transit can be used to estimate the planetary radius and other parameters of interest. Because accurate parameter estimation is a non-analytic and computationally intensive problem, it is often useful to have analytic approximations for the parameters as well as th...

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Main Authors: Carter, Joshua Adam, Yee, Jennifer C., Eastman, Jason, Gaudi, B. Scott, Winn, Joshua Nathan
Other Authors: Massachusetts Institute of Technology. Department of Physics
Format: Article
Language:en_US
Published: Cambridge University Press 2010
Online Access:http://hdl.handle.net/1721.1/51811
https://orcid.org/0000-0002-4265-047X
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author Carter, Joshua Adam
Yee, Jennifer C.
Eastman, Jason
Gaudi, B. Scott
Winn, Joshua Nathan
author2 Massachusetts Institute of Technology. Department of Physics
author_facet Massachusetts Institute of Technology. Department of Physics
Carter, Joshua Adam
Yee, Jennifer C.
Eastman, Jason
Gaudi, B. Scott
Winn, Joshua Nathan
author_sort Carter, Joshua Adam
collection MIT
description The light curve of an exoplanetary transit can be used to estimate the planetary radius and other parameters of interest. Because accurate parameter estimation is a non-analytic and computationally intensive problem, it is often useful to have analytic approximations for the parameters as well as their uncertainties and covariances. Here we give such formulas, for the case of an exoplanet transiting a star with a uniform brightness distribution. When limb darkening is significant, our parameter sets are still useful, although our analytic formulas underpredict the covariances and uncertainties.
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spelling mit-1721.1/518112022-10-02T04:47:56Z Analytic approximations for transit light curve observables, uncertainties, and covariances Carter, Joshua Adam Yee, Jennifer C. Eastman, Jason Gaudi, B. Scott Winn, Joshua Nathan Massachusetts Institute of Technology. Department of Physics MIT Kavli Institute for Astrophysics and Space Research Winn, Joshua Nathan Carter, Joshua Adam Winn, Joshua Nathan The light curve of an exoplanetary transit can be used to estimate the planetary radius and other parameters of interest. Because accurate parameter estimation is a non-analytic and computationally intensive problem, it is often useful to have analytic approximations for the parameters as well as their uncertainties and covariances. Here we give such formulas, for the case of an exoplanet transiting a star with a uniform brightness distribution. When limb darkening is significant, our parameter sets are still useful, although our analytic formulas underpredict the covariances and uncertainties. Space Telescope Science Institute 2010-02-24T17:48:00Z 2010-02-24T17:48:00Z 2009-02 Article http://purl.org/eprint/type/SubmittedJournalArticle 1743-9213 http://hdl.handle.net/1721.1/51811 Carter, Joshua A. et al. “Analytic approximations for transit light curve observables and uncertainties.” Proceedings of the International Astronomical Union 4.Symposium S253 (2008): 392-393. https://orcid.org/0000-0002-4265-047X en_US http://dx.doi.org/10.1017/S1743921308026732 Proceedings of the International Astronomical Union Article is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use. application/pdf Cambridge University Press Josh Winn
spellingShingle Carter, Joshua Adam
Yee, Jennifer C.
Eastman, Jason
Gaudi, B. Scott
Winn, Joshua Nathan
Analytic approximations for transit light curve observables, uncertainties, and covariances
title Analytic approximations for transit light curve observables, uncertainties, and covariances
title_full Analytic approximations for transit light curve observables, uncertainties, and covariances
title_fullStr Analytic approximations for transit light curve observables, uncertainties, and covariances
title_full_unstemmed Analytic approximations for transit light curve observables, uncertainties, and covariances
title_short Analytic approximations for transit light curve observables, uncertainties, and covariances
title_sort analytic approximations for transit light curve observables uncertainties and covariances
url http://hdl.handle.net/1721.1/51811
https://orcid.org/0000-0002-4265-047X
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