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基于X射线脉冲星的卫星自主导航模型中,无论从理论上还是从测量精度方面考虑,光子到达时间测量方程(观测方程)和卫星运动方程(状态方程)应在同一参考系中讨论.在DSX体系中太阳系质心系是惯性系,可以使用现行时间测量方程,但卫星摄动加速度中除了地球多极矩、日月引力摄动和太阳光压三项外,还应考虑相对论修正项,计算表明该修正项导致卫星位置误差在10m量级.而地心系是非惯性系,在此系中卫星运动方程中的相对论效应导致卫星误差在10 cm量级,因而可以忽略,但要将BCRS的时间测量方程转换到GCRS中.在此基础上建立的导航模型较为精确和完整.
In the satellite autonomous navigation model based on X-ray pulsar, the photon arrival time measurement equation (observation equation) and the satellite equation of motion (state equation) should be discussed in the same frame of reference both in theory and measurement accuracy.In DSX In the system, the centroid of the solar system is an inertial system, and the current time measurement equation can be used. However, in addition to the earth multipole moment, the sun-moon gravity perturbation and the solar pressure, the satellite perturbation acceleration should also consider the corrections term, This correction leads to a satellite position error on the order of 10 m, whereas the geocentric system is a non-inertial system in which the relativistic effect in the equations of motion of the satellites results in satellite errors of the order of 10 cm and can therefore be ignored, but the BCRS time The measurement equation is transformed into GCRS, and the navigation model established on this basis is more accurate and complete.