新发现的临边昏暗常数经验公式及其理论解释

A New Empirical Formulae for Limb Darkening Laws and Its Theoretical Explanations

文章介绍了我们新发现的可确定恒星临边昏暗常数的简单经验公式，这些常数可通过两套办法获得。在与太阳的观测比较中发现，直接方法的一组近似公式的平均大差为0．0128．二级公式的方差为0．0050。间接方法只能精确到一级近似，其所得平均大差可优于0．0239。有理由认为，间接方法有普遍意义。可应用于其它恒星。

A new empirical formulae is presented here to describe limb darkening laws,in which con stants can be determined through two methods. Acomparison of these and those observed from the sun shows: Their mean errors of the direct results in the first order approximation can be about 0. 01277,and the second order approximation can be about 0.00591 . The mean erros of in direct results, only being equal to the accurasy in the first ordcr approximation, can be ahout 0. 02387. It is reasonable to consider that the indirect method can be generally applied to observed the sun,and other stars as well.