太阳系天体引力对空间引力波探测日心编队构型的影响分析

针对太极空间引力波探测任务，建立了太阳系天体引力摄动对日心编队构型影响的数学模型，利用仿真手段分析了太阳系中行星和月球、矮行星和小行星引力摄动对空间引力波探测日心编队构型的影响，提出了一种综合考虑小行星到卫星轨道距离和星等的二重筛选方法，能够快速估计小行星相对加速度的上界.分析了日心编队构型卫星初始相位角变化对太阳系天体引力摄动的影响.仿真结果表明，在行星和月球中，地球、金星和木星引力对空间引力波探测编队构型影响较大，行星和月球的引力叠加影响达到-2.78×10-11km·-2.矮行星的引力叠加影响不大于1.25×10-17km·-2，小行星引力的叠加影响不大于1.1180×10-15km·-2.另外，编队卫星受到的太阳系天体引力摄动对编队构型卫星初始相位角的变化不敏感. 

Analysis of Celestial Gravity Influence on Heliocentric Formation Flying of Gravitational Wave Observatory

A mathematical model of celestial gravity influence on heliocentric formation flying of gravitational wave observatory is established for Taiji in this paper. Influences of planets, the Moon, dwarf planets and asteroids in the solar system on heliocentric formation flying of gravitational wave observatory are analyzed by simulation. To analyze the influence of asteroids on the stability of constellation, a double screening method is proposed, which takes the orbit distance and magnitude of asteroids into consideration comprehensively. The method avoids a large number of calculations on asteroids and is able to quickly estimate the influence of the relative acceleration of asteroids on constellation. The influences of initial phase angles on heliocentric formation-flying satellites are also analyzed. Simulation results show that the Earth, the Venus and the Jupiter have great influences on heliocentric formation flying of gravitational wave observatory, and their cumulated relative acceleration is -2.78×10-11km·-2. The relative acceleration caused by dwarf is 1.25×10-17km·-2. The relative acceleration caused by asteroids is 1.1180×10-15km·-2. Moreover, influences of gravity perturbations of solar system bodies on formation-flying satellites are insensitive to initial phase angles.