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地球引力势系数变化的研究涉及到人造卫星运动跟踪精度的提高和动力学模型的改进.本文利用目前较完善的地球模型PREM所给出的流变学参数,通过求解弹性地幔运动方程,得到在日月引潮力作用下的形变位移矢量,进而计算了地球引力势二阶系数的潮汐周期摄动.指出在高精度的人造卫星跟踪数据的分析研究中,不能忽略因潮汐形变引起的δJ2和δJ22的影响.
The research on the change of the gravitational potential coefficient of the Earth involves the improvement of tracking accuracy of the satellite and the improvement of the dynamic model. In this paper, we use the rheological parameters given by PREM, a well-established earth model, to obtain the displacement vector of the elastic mantle under the tidal force by calculating the elastic mantle motion equation, and then calculate the tidal period of the second order coefficient of Earth's gravitational potential Perturbed. It is pointed out that the influence of δJ2 and δJ22 caused by tidal deformation can not be neglected in the analysis and research of high precision satellite tracking data.