基于Kalman滤波定轨的基本原理,本文针对GEO卫星定轨中的系统误差,提出了消参数双向Kalman滤波定轨方法,给出了该方法的状态模型和观测模型,并推导出解算公式。最后以卫星钟差为例,分别对常数项、线性变化和二次多项式形式的系统误差进行了模拟计算,结果表明:该方法能有效削弱系统误差的影响,提高了定轨精度,并能较好地估计出GEO卫星的运行速度。
Based on the basic principle of orbit determination with Kalman filtering for Geostationary Earth Orbit (GEO) satel- lite, the methods, which is tbrward and backward Kalman filtering with elimination parameter, was introdueed for systematic errors in tile paper. The kinematics model and observation model were given. The mathematical calculating formula was derived for forward and backward filtering with elimination parameter. A simulated numerical example was conducted for three types of systematic error, the constant, the linear polynonfial, and the quadratic polynomial by using the proposed methods. The results showed that the influence of systematic errors on the Kahnan filtering orbiting could be efficiently controlled with the new methods, and relatively exactly estimated the running velocity of GEO satellite.