非球基约束三体问题拉格朗日解产生的周期轨道分析
The analysis of periodic orbits generated by Lagrangian solutions of the restricted three-body problem with non-spherical primaries
摘要：
本文讨论了当两个刚体都是扁球体时，由限制性三体问题的拉格朗日解产生的周期轨道。我们给出了不同$μ, h,σ_1$和$σ_2$值的周期轨道（$h$是能量常数，$μ$是两种原色的质量比，$σ_1$和$σ_2$是扁率因子）。这些轨道是通过沿移动坐标的切线和法线给出位移来确定的，移动坐标由Karimov和Sokolsky \cite{Kari}定义。我们应用预测-校正算法来构造周期轨道，试图通过取参数$μ, h, σ_1$和$σ_2$的固定值来揭示主星系扁率的影响。
英文摘要：
The present paper deals with the periodic orbits generated by Lagrangian solutions of the restricted three-body problem when both the primaries are oblate bodies. We have illustrated the periodic orbits for different values of $μ, h,σ_1$ and $σ_2$ ($h$ is energy constant, $μ$ mass ratio of the two primaries, $σ_1$ and $σ_2$ are oblateness factors). These orbits have been determined by giving displacements along the tangent and normal to the mobile coordinates as defined by Karimov and Sokolsky \cite{Kari}. We have applied the predictor-corrector algorithm to construct the periodic orbits in an attempt to unveil the effect of oblateness of the primaries by taking the fixed values of parameters $μ, h, σ_1$ and $σ_2$.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
