环火探测器的摄动分析解对于分析探测器轨道运动规律以及星载计算具有比较重要的意义.针对火星非球形引力摄动影响下环火探测器的运动,采用频率分析方法,对环火探测器轨道运动进行仿真,得到了与KAM理论一致的结果,在火星非球形引力摄动作用下的环火探测器轨道位于一个不变环面,可由3个角变量的频率描述.利用该方法,采用数值方法构建轨道运动的分析表达式,通过与数值积分结果的比对,证明该分析表达式具有较好的精度,适合长时间的轨道外推,可以满足航天任务的星栽应用需求.该方法不仅可以给出环火探测器在任意时刻的轨道状态量,同时可以较高精度地确定3个角变量的变化率,反映一定的轨道变化规律.%The analytical solution of Mars orbiter has high significance for study of orbit regularities and on-board computation.Frequency analysis method is used to emulate motion of the Mars orbiter under the Mars non-spherical gravitational perturbation and the result obtained is that the orbit is located in an invariant torus and can be described by the frequency of three angle variables,which is consistent with the KAM theory.High accuracy analytical expression of orbital motion is constructed with numerical method to meet the requirements of long time orbit prediction in on-board computation for space missions.In addition to the capability to give state parameters of the Mars orbiter at any moment,the method can be used to determine the rate of three angle variables and reflect orbit regularities.
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