基于卫-卫跟踪观测技术利用能量守恒法恢复地球重力场的数值模拟研究

根据卫－卫跟踪观测技术的测量原理，基于能量守恒法建立了一种新的双星相互跟踪和三星相互跟踪的卫星观测方程. 通过数值模拟，采用预处理共轭梯度法恢复120阶地球重力场. 模拟结果表明：第一，双星相互跟踪恢复地球重力场的精度和美国喷气动力实验室公布的EIGEN GRACE02S的结果相符合；第二，三星相互跟踪恢复地球重力场的精度较双星提高约2倍.

Numerical simulation of Earth's gravitational field recovery from SST based on the energy conservation principle

Based on the measurement principle of Satellite-to-Satellite Tracking mission(SST),the new and effective observation equations of two satellites and three satellites are established,respectively using the energy conservation principle.The high-accuracy Earth's gravitational field up to degree and order 120 is recovered through numerical simulation by applying an improved pre-conditioned conjugate-gradient(PCCG) iterative approach.The simulated results show that the accuracy of the Earth's gravitational field recovery using two satellites is close to the results of EIGEN-GRACE02S publicized by Jet Propulsion Laboratory(JPL) in America,and the accuracy of the Earth's gravitational field recovery using three satellites is about 2 times higher than that using two satellites.