多参考系中光线方程参数化的一种方案

The Parametrized Equations of Light Ray in Multiple Systems

把多参考系中参数化的度规张量对光子扩展到二阶后牛顿精度,考虑到跟以往的拓展工作一致同时为了符合太阳系的光线弯曲实验要求,在参数化的相对论天体力学所包括的2个参数γ和β的基础上引入一个新的参数ε,接着从参数化的度规张量和克氏记号出发导出参数化的一阶、二阶后牛顿光线方程,当略掉高于1/c4项时,方程跟Will的参数化后牛顿光线方程(单参考系)形式上一致.

The parametrized second-order post.Newtonina metrics of the photon in Multiple System were taken into consideration, there were two post-Newtonian parameters （γ and β） in ＂the relativistic celestial mechanics with PPN parameters＂. According to the previous work and satisfying the requirement of experiments in the solar system, the study introduced a new parameter in the metric tensor gij.So there were three parameters （ γ, β and ε ） in the equations of light ray which was deduced for the first time. The Post-Newtonian and secondorder Post-Newtonian equations of light ray in the solar system have been deduced from the metric tensor by using a kind of iterative method. When the terms higher than 1/c^4 were neglected, those equations agreed with the post-Newtonina equations got by Will.