凌日光变曲线观测量和不确定度的解析近似
Analytic approximations for transit light curve observables and uncertainties
摘要：
外行星凌日的光变曲线可以用来估计行星半径和其他相关参数。由于精确的参数估计是一个非分析和计算密集型的问题，它通常是有用的，有解析近似的参数以及它们的不确定性和协方差。在这里，我们给出这样的公式，对于一个系外行星过境的恒星具有均匀的亮度分布的情况。当临边变暗是显着的，我们的参数集仍然是有用的，虽然我们的分析公式低估的协方差和不确定性。
英文摘要：
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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