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首页> 外文会议>International astronautical congress >A NOTE ON THE DYNAMICS AROUND THE LAGRANGE POINTS OF THE EARTH-MOON SYSTEM IN A COMPLETE SOLAR SYSTEM MODEL
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A NOTE ON THE DYNAMICS AROUND THE LAGRANGE POINTS OF THE EARTH-MOON SYSTEM IN A COMPLETE SOLAR SYSTEM MODEL

机译：完整太阳系模型中地球-月球系统Lagrange点周围动力学的一个注记

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This paper studies the dynamics of a massless particle around the libration points of the Earth-Moon system in a full Solar System gravitational model. The study is based on the analysis of the quasi-periodic solutions around the equilibrium points. For the analysis and computation of the quasi-periodic orbits, a novel iterative algorithm is introduced which is a combination of the multiple shooting method and a refined Fourier analysis of the orbits computed with the multiple shooting. Using as initial seeds the libration point orbits of Circular Restricted Three Body Problem, determined by Lindstedt-Poincare methods, the procedure is able to refine them in a complete Solar System model for large time-spans covering most of the relevant Sun-Earth-Moon periods. For the collinear points, the developed approach works well and reveals the strong relevance of the phase space around the equilibrium points in both models. For the triangular points, difficulties appear and an intermediate model (bicircular model, BCM) is introduced to aid the refinement.
机译：本文在完整的太阳系引力模型中研究了地球-月亮系统释放点周围无质量粒子的动力学。该研究基于对平衡点附近的准周期解的分析。为了分析和计算准周期轨道，引入了一种新颖的迭代算法，该算法结合了多次射击方法和对通过多次射击计算出的轨道进行的精细傅里叶分析。通过使用Lindstedt-Poincare方法确定的圆形受限三体问题的释放点轨道作为初始种子，该程序能够在完整的太阳系模型中完善它们，以涵盖大部分相关的太阳-地球-月亮的大时间跨度时期。对于共线点，所开发的方法效果很好，并且揭示了两个模型中平衡点周围的相空间的强烈相关性。对于三角形点，出现了困难，并引入了中间模型（双圆模型，BCM）来辅助细化。

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