标题： 轴对称静止物体的引力场中总光线偏折，包括全部质量与自旋多极结构 显示英文标题

标题： Total light deflection in the gravitational field of an axisymmetric body at rest with full mass and spin multipole structure

摘要： 在谐坐标系中，通过后牛顿（PN）方案的1PN和1.5PN近似，确定了孤立轴对称静止体的引力场中未来无限远处光轨迹的切向量以及总光偏转角度，该体具有完整的质量多极矩和自旋多极矩。 发现由质量多极矩和自旋多极矩引起的切向量和总光偏转角度的计算直接且有力地导致了第一类和第二类切比雪夫多项式。 这一事实使得能够确定总光偏转的上限，这些上限在1PN和1.5PN近似中严格有效。 它们为识别在给定天体测量精度下对总光偏转有显著贡献的多极矩提供了一个标准。 这些上限用于确定太阳和太阳系中的巨行星引力场中的总光偏转。 发现对于天体测量角度测量的纳角秒级精度，l\le 10 的前几个质量多极矩以及l\le 3 的前几个自旋多极矩就足够了。 显示英文摘要

摘要： The tangent vector of the light trajectory at future infinity and the angle of total light deflection in the gravitational field of an isolated axisymmetric body at rest with full set of mass-multipoles and spin-multipoles is determined in harmonic coordinates in the 1PN and 1.5PN approximation of the post-Newtonian (PN) scheme. It is found that the evaluation of the tangent vector and of the angle of total light deflection caused by mass-multipoles and spin-multipoles leads directly and in a compelling way to Chebyshev polynomials of first and second kind, respectively. This fact allows to determine the upper limits of the total light deflection, which are strictly valid in the 1PN and 1.5PN approximation. They represent a criterion to identify those multipoles which contribute significantly to the total light deflection for a given astrometric accuracy. These upper limits are used to determine the total light deflection in the gravitational field of the Sun and giant planets of the solar system. It is found that the first few mass-multipoles with l \le 10 and the first few spin-multipoles with l \le 3 are sufficient for an accuracy on the nano-arcsecond level in astrometric angular measurements.