考虑J_2项摄动的空间共振轨道特性分析

Studying Spacial Resonance Orbit with J_2 Perturbation Considered

共振轨道是建立在新型坐标系下的非开普勒轨道,应用于空间机动轨道的设计,具有节省能量的优势。针对地球形状摄动J_2项对共振轨道特性的影响分析问题,建立了一种新的考虑J_2项摄动影响的共振轨道数学模型。通过与传统受J_2项摄动影响的共振轨道数学模型的仿真对比分析可以看出,新的数学模型虽然形式较为复杂,但却能够揭示不同阶段J_2项摄动使系统产生偏差的原因,比传统模型更为精确,因此更适用于工程实际中分析J_2项摄动对共振轨道特性的影响。

The spacial resonance orbit is a non-Keplerian orbit created in a new coordinate system. It can be ap- plied to the design of the spaeial maneuvering orbit and has the advantage of saving fuel. For the spaeial resonance orbit affected by J2 perturbation, a new perturbed model, applied to random inherent frequency, is developed in this paper. And then, the J2 perturbation effect on the resonance orbit characteristic is analyzed with simulation. Compared with thesimulation of the traditional perturbed model, it shows that although the new perturbed model has a more complex form, it can explain the source of differences in different stages. So it is more accurate and can ana- lyze the J2 perturbation effect on the resonance orbit characteristic, better.