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针对18参数广播星历模型对混合星座(包含GEO(地球同步轨道)、IGSO(倾斜地球同步轨道)、MEO(中地球轨道))的拟合精度和稳定性问题,利用摄动理论中的分析方法研究18参数广播星历模型新增参数的物理意义,通过数值仿真比较分析18参数模型与16参数模型对混合星座的拟合精度和稳定性。分析研究表明,新增2个参数可以较好地逼近轨道变化的长周期项,相同拟合弧长的拟合精度比16参数提高了50%左右,但受短周期项影响,拟合不够平稳,同时由于轨道变化特征的差异,对GEO和IGSO卫星的拟合不如MEO卫星稳定。数值仿真结果表明,要保证稳定性必须增加拟合弧长,但拟合精度会有一定下降,18参数条件下,MEO卫星选用3h拟合弧长能保持很好的稳定性,GEO和IGSO卫星则需要选择5h拟合弧长。
Aiming at the problem of fitting accuracy and stability of mixed constellations including GEO (Geostationary Orbit), IGSO (Geostationary Earth Orbit) and MEO (Middle Earth Orbit) for 18-parameter broadcast ephemeris model, by using the analysis of perturbation theory Methods The physical meaning of the parameters added in the 18-parameter broadcast ephemeris model is studied. The fitting accuracy and stability of the mixed constellation between the 18-parameter model and the 16-parameter model are compared and analyzed by numerical simulation. The analysis and research shows that the new two parameters can approximate the long-term term of orbital variation well, and the fitting accuracy of the same fitting arc length is increased by about 50% than that of the 16 parameter. However, due to the short-term term, the fitting is not stable enough At the same time, the fitting of GEO and IGSO satellites is not as stable as that of MEO satellite due to the difference in orbit characteristics. Numerical simulations show that the fitting arc length must be increased to ensure the stability, but the fitting accuracy will decrease to a certain extent. Under the condition of 18 parameters, the fitting arc length of 3h MEO satellite can maintain good stability. The GEO and IGSO satellites You need to select 5h to fit the arc length.