GPS/BDS卫星摄动力数值分析

由精密星历利用拉格朗日插值公式求二次导数的方法计算了卫星在J2000.0惯性坐标系下的总加速度;利用现有的力模型计算了地球中心引力,地球非球形摄动力,太阳、月球和其他行星的摄动力,地球固体潮摄动力,相对论效应摄动力对GPS/BDS卫星所产生的加速度数值大小;利用G-file里的BERNE太阳光压模型参数计算了GPS卫星太阳光压摄动加速度大小;对GPS/BDS卫星所受的不同摄动力进行了数值分析,对同一摄动力对不同类型卫星的影响进行了数值分析比较。结果表明,现有力模型与GPS/BDS卫星所受的实际作用力仍有一定的差距,不同类型卫星所受摄动力有明显差异,在精密定轨的实际应用中应根据不同类型卫星建立合适的力学模型。

Numerical Analysis of Perturbation Forces of GPS and BDS Satellites

This paper calculated the total acceleration of the satellite in J2000.0 inertial coordinate system using the second derivative of Lagrange's interpolation formula by the precise ephemeris.Based on mechanical models, this paper computed the acceleration of GPS and BDS satellites due to the gravity of Earth's center and the perturbation forces of the Earth's non-spherical, the sun, the moon, other planets, Earth solid tide and the relativity.Using the BERNE solar pressure module parameters in G-file, this paper al-so computed the solar radiation pressure perturbation acceleration of GPS satellite.After that, we made numerical analysis and com-parison of different perturbation forces and different types of satellites.It's concluded that the difference between mechanical models and true forces of satellite is evident.It's also concluded that different types of satellite suffered significant difference in perturbation forces especially for BDS GEO satellite due to the influence of maneuver force.Therefore, in the practical application of precise orbit determination, establish a suitable mechanical model is needed.