当前位置: X-MOL 学术Adv. Space Res. › 论文详情
Our official English website, www.x-mol.net, welcomes your feedback! (Note: you will need to create a separate account there.)
Mapping of initial conditions for libration point orbits
Advances in Space Research ( IF 2.6 ) Pub Date : 2021-05-04 , DOI: 10.1016/j.asr.2021.04.035
Sergey Aksenov , Stanislav Bober , Maria Guskova

In the framework of circular restricted three-body problem the libration point orbits form the families of periodic and quasi-periodic solutions. In the paper, the mapping of initial conditions is utilized to describe and study the structure and properties of these families. A new numerical method for orbit generation, which is applicable both for the periodic and quasi-periodic orbits, is provided and explored. The applicability area of the proposed method is constructed and analyzed for the vicinity of Sun-Earth L1. Based on the comprehensive numerical investigation of this area, the xz-maps aligning the initial conditions of the orbits crossing this plane perpendicularly with their properties were constructed and analyzed. The quasiperiodic Lissajous and quasi-halo orbit families appears on these maps as the domains surrounding the curves corresponding to periodic halo and vertical families. Accurate analysis of these domains made in possible to study the structure of resonant k-periodic families, which bifurcate from halo and vertical orbits. The initial conditions of these families are presented by the curves, which thread the quasi-halo and Lissajous domains. These k-periodic families are computed up to k=10 for the resonant orbits bifurcating from the halo family, and up to k=25 for the resonant orbits bifurcating from the vertical family. Some examples of such orbits different provided. The maps of initial conditions illustrate several important properties of the libration point orbit families, and can be useful for mission design as a tool to select the orbit fitting the mission requirements.



中文翻译:

平衡点轨道初始条件的映射

在圆形受限三体问题的框架中,振动点轨道形成周期和准周期解的族。本文利用初始条件的映射来描述和研究这些族的结构和性质。提供并探索了一种新的轨道生成数值方法,它适用于周期和准周期轨道。在日地L1附近构建并分析了该方法的适用范围。基于对该区的综合数值调查,xz构建并分析了将垂直穿过该平面的轨道的初始条件与其特性对齐的映射。准周期 Lissajous 和准晕轨道族出现在这些地图上,作为与周期晕和垂直族对应的曲线周围的域。对这些域的准确分析使得研究共振结构成为可能-周期族,从光晕和垂直轨道分叉。这些系列的初始条件由曲线表示,这些曲线穿过准晕域和 Lissajous 域。这些k 个周期族被计算到=10 对于从晕族分叉的共振轨道,直到 =25对于从垂直族分叉的共振轨道。提供了一些不同的这种轨道的例子。初始条件图说明了平点轨道族的几个重要特性,可作为选择适合任务要求的轨道的工具,用于任务设计。

更新日期:2021-05-04
down
wechat
bug