质量多极矩对光线被孤立轴对称物体偏转的影响
Influence of mass multipole moments on the deflection of a light ray by an isolated axisymmetric body
摘要：
未来的空间天体测量飞行任务计划测量天体的位置和（或）视差，其精度为微弧秒量级。在这样的精度水平上，考虑到巨行星的质量多极结构对光线弯曲的影响是必不可少的。在参数化后牛顿形式主义，我们提出了一个算法程序，使明确确定这种影响的光线连接两个点位于一个有限的距离。然后，我们专门的公式的情况下，1）光源位于空间无限远，2）光源和观察者都位于空间无限远。我们详细研究的情况下，未扰动的光线是在赤道平面或子午面。
英文摘要：
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 to determine explicitly this influence on a light ray connecting two points located at a finite distance. Then we specialize our formulae 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.
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