人造月球卫星的运动及其稳定性

得到了人造月球卫星在月球、地球和太阳引力作用下的运动:1)除轨道根数a,e,i外都有长期项;2)所有根数都有短周期变化,但是变化周期很短,振幅很小;3)除轨道半长径a以外都有长周期项。长周期项可以分为3部分:第一部分是由于月球扁率摄动造成的;第二部分是由于地球引力造成的;第三部分是二者联合摄动造成的。其中以第二种影响最大;它的周期约半个恒星月,振幅约3km和3ms~(-1)。还讨论了人造月球卫星以及相应的同步卫星的运动稳定性。

ON THE MOTION OF ARTIFICIAL LUNAR SATELLITES

The motion of artificial lunar satellites under the gravitational attrac- tion of the Moon, Earth and Sun is obtained. The results are as follows: 1. There a, e secular terms in the orbital elements of artificial lunar satellites except a. e. and i. 2. There are short-period terms in the all of orbital ele- ments. But their periods are very short and amplitudes are very small. 3. There are long-period terms in other orbital elements except a, these terms can be diviced into three parts: The first is caused by perturbation of Mo- on's oblateness, the second is caused by Earth's gravitation, and the third is caused by combined perturbation of both. The influence from the second part is the greatest; its period is about half sidereal month, and amplitudes are about 3 km and 3 ms~(-1). The stability of artificial lunar satellites and relevant synchronous satellite are also discussed.