关于人造卫星运动中的临界角和通约问题

ON THE PROBLEM OF THE CRITICAL INCLINATION AND COMMENSURABILITY IN THE MOTION OF ARTIFICIAL SATELLITES

本文具体讨论了人造卫星运动中的临界角和通约所对应的共振问题。考虑了地球非球形引力场的作用,对于平均模型本文给出了平衡解的性质和中心附近的天平动区域,并与卫星的实际运动作了对比,进一步说明了共振所起的作用以及日、月摄动对24小时同步卫星轨道的影响。

The resonant problem resulting from the critical inclination and commensurability in the motion of an artificial satellite is discussed. Considering the non-spherical perturbation of the earth for the averaged model, the quality of the equilibrium solution and the corresponding libration region are given. Finally, we compare this solution with the actual motion of an artificial satellite. We find that the resonance plays a stabilizing role in the motion and that the luni-solar perturbations have a significant effect on the orbital resonance of 24-h synchronous satellites.