Light propagation in 2PN approximation in the field of one moving monopole II. Boundary value problem
Light propagation in 2PN approximation in the field of one moving monopole II. Boundary value problem
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DOI：
10.1088/1361-6382/aaeb4c
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发表时间：
2018-12
影响因子：
3.5
通讯作者：
S. Zschocke
中科院分区：
文献类型：
--
作者：
S. Zschocke
本文用二阶后牛顿近似研究了具有单极子结构的任意运动物体在引力场中的光传播边值问题。边值问题的解由三个变换组成：、、和。给出了这些变换的解析解，并确定了每一项的上限。基于这些结果，在光偏转条件下，只保留与给定目标精度1纳角秒相关的项，即可得到简化变换。就像光在一个静止物体的引力场中传播的情况一样，有所谓的增强项，它们是后牛顿二阶的，但包含一个相同的典型的大数值因子。最后，考虑了超过2PN近似的增强项的影响。研究发现，在光偏转的1纳角秒水平上，增强的3PN项与天体测量相关，而增强的4PN项可以忽略不计，除了太阳上的掠射射线。
In this investigation the boundary value problem of light propagation in the gravitational field of one arbitrarily moving body with monopole structure is considered in the second post-Newtonian approximation. The solution of the boundary value problem comprises a set of altogether three transformations: , , and . Analytical solutions of these transformations are given and the upper limit of each individual term is determined. Based on these results, simplified transformations are obtained by keeping only those terms relevant for the given goal accuracy of 1 nano-arcsecond in light deflection. Like in case of light propagation in the gravitational field of one body at rest, there are so-called enhanced terms which are of second post-Newtonian order but contain one and the same typical large numerical factor. Finally, the impact of enhanced terms beyond 2PN approximation is considered. It is found that enhanced 3PN terms are relevant for astrometry on the level of 1 nano-arcsecond in light deflection, while enhanced 4PN terms are negligible, except for grazing rays at the Sun.