Influence of mass multipole moments on the deflection of a light ray by an isolated axisymmetric body
Influence of mass multipole moments on the deflection of a light ray by an isolated axisymmetric body
复制标题
DOI：
10.1103/physrevd.77.044029
复制
发表时间：
2007-11
影响因子：
5
通讯作者：
C. L. Poncin-Lafitte;P. Teyssandier
中科院分区：
文献类型：
--
作者：
C. L. Poncin-Lafitte;P. Teyssandier
未来的空间天体测量任务计划以微弧秒的精度测量天体的位置和/或视差。要达到这样的精度，就必须考虑到巨行星的质量多极结构对光线弯曲的影响。在参数化后牛顿的形式中，我们提出了一种算法程序，使我们能够明确地确定这种对连接位于有限距离的两点的光线的影响。然后，我们将公式专门用于(1)光源位于空间无穷大，(2)光源和观察者都位于空间无穷大。我们详细地考察了无扰动射线在赤道面或子午线面上的情况。
Future space astrometry missions are planned to measure positions and/or parallaxes of celestial objects with an accuracy of the order of the microarcsecond. At such a level of accuracy, it will be indispensable to take into account the influence of the mass multipole structure of the giant planets on the bending of light rays. Within the parametrized post-Newtonian formalism, we present an algorithmic procedure enabling us to determine explicitly this influence on a light ray connecting two points located at a finite distance. Then we specialize our formulas in the cases where (1) the light source is located at space infinity, (2) both the light source and the observer are located at space infinity. We examine in detail the cases where the unperturbed ray is in the equatorial plane or in a meridian plane.0.