基于广义相对论的轨道摄动下星间激光相位比对

针对纳米到皮米量级星间激光测距，在地心非旋转坐标系（GCRS）下，考虑卫星轨道摄动引起的广义相对论效应，建立了星间单向以及双向星间激光相位比对模型。通过仿真研究了地球主引力场范围内轨道摄动引起的广义相对论效应对星间激光相位比对误差的影响，并通过星间激光相位比对误差计算星间激光测距误差。不同轨道高度的卫星仿真结果表明，对于地球主引力场卫星，轨道摄动引起的广义相对论效应测距误差最小在百皮米量级，最大达到微米量级。星间距相同时，轨道高度越高，轨道摄动引起的广义相对论效应测距误差越小；轨道高度相同时，星间距越大，轨道摄动引起的广义相对论效应测距误差越大。

General relativistic theory for laser phase comparison between satellites under orbit perturbations

For inter satellite laser ranging from picometers to nanometers level, this paper established the one way and two way laser phase comparison models between satellites in GCRS. The general relativity effect was considered in the established models induced by orbit perturbations. In the vicinity of the Earth, simulation studies of satellites with different orbital altitudes were carried out to investigate the phase comparison error resulting from the general relativity effect. Then, the inter satellite laser ranging error was obtained by the phase comparison error. Simulation results show that the minimum laser ranging error of general relativity effect is of the order of 100 picometers, and the maximum error is of the order of 1 micron. It can be concluded that the higher the orbit height, the smaller the inter satellite laser ranging error of general relativity effect, and the larger the distance between satellites, the larger the inter satellite laser ranging error of general relativity effect.