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Analytic approximations for transit light curve observables and uncertainties

Published online by Cambridge University Press:  01 May 2008

Joshua A. Carter
Affiliation:
Department of Physics, and Kavli Institute for Astrophysics and Space Research, Massachusetts Institute of Technology, Cambridge, MA 02139
Jennifer C. Yee
Affiliation:
Department of Astronomy, Ohio State University, 140 W. 18th Ave., Columbus, OH 43210
Jason Eastman
Affiliation:
Department of Astronomy, Ohio State University, 140 W. 18th Ave., Columbus, OH 43210
B. Scott Gaudi
Affiliation:
Department of Astronomy, Ohio State University, 140 W. 18th Ave., Columbus, OH 43210
Joshua N. Winn
Affiliation:
Department of Physics, and Kavli Institute for Astrophysics and Space Research, Massachusetts Institute of Technology, Cambridge, MA 02139
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Abstract

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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.

Type
Contributed Papers
Copyright
Copyright © International Astronomical Union 2009

References

Carter, J. A., Yee, J. C., Eastman, J., Gaudi, B. S., & Winn, J. N. 2008, ArXiv e-prints, arXiv:0805.0238Google Scholar
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