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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Cambridge University Press
2010
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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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format | Article |
id | mit-1721.1/51811 |
institution | Massachusetts Institute of Technology |
language | en_US |
last_indexed | 2024-09-23T15:53:00Z |
publishDate | 2010 |
publisher | Cambridge University Press |
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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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