Analytic Approximations for Transit Light-Curve Observables, Uncertainties, and Covariances
Analytic Approximations for Transit Light-Curve Observables, Uncertainties, and Covariances
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凌日光曲线可观测量、不确定性和协方差的解析近似
DOI：
10.1086/592321
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发表时间：
2008
期刊：
影响因子：
--
通讯作者：
J. Winn
中科院分区：
文献类型：
--
作者：
J. Carter;J. Yee;J. Eastman;B. Gaudi;J. Winn
系外行星凌日的光变曲线可用于估计行星半径和其他感兴趣的参数。由于准确的参数估计是一个非分析和计算密集型问题，因此对参数及其不确定性和协方差进行分析近似通常很有用。在这里，我们针对系外行星凌日亮度分布均匀的恒星的情况给出这样的公式。我们还评估了一些相对不相关的参数集在拟合实际数据方面的优势。当肢体变暗显着时，我们的参数集仍然有用，尽管我们的分析公式低估了协方差和不确定性。
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 nonanalytic 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 formulae, for the case of an exoplanet transiting a star with a uniform brightness distribution. We also assess the advantages of some relatively uncorrelated parameter sets for fitting actual data. When limb darkening is significant, our parameter sets are still useful, although our analytic formulae underpredict the covariances and uncertainties.