Study of the ejection/collision orbits in the spatial RTBP using the McGehee regularization

Study of the ejection/collision orbits in the spatial RTBP using the McGehee regularization
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使用 McGehee 正则化研究空间 RTBP 中的弹射/碰撞轨道

DOI:
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发表时间:
2022
影响因子:
3.9
通讯作者:
J. Soler
J. Soler
中科院分区:
数学2区
文献类型:
--
作者:
M. Ollé;Óscar Rodríguez;J. Soler

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。在本文中,我们分析了空间受限三体问题(3D RTBP)中碰撞的 McGehee 正则化。作为一个特定的应用,我们研究弹射(碰撞)轨道。将参数化方法应用到高阶以获得合适的弹射(碰撞)轨道初始条件。此外,假设弹射轨道,讨论了不同的方法来检测其中哪些也是碰撞轨道。最后,我们探索所谓的喷射碰撞(EC)轨道,即粒子从一个主轨道喷射,达到相对于同一主轨道的最大距离,并在与该主轨道碰撞时结束的轨道。描述了有关空间 EC 轨道存在的一些结果。
. In this paper we analyse the McGehee regularization of the collision in the spatial Restricted three-body problem (3D RTBP). As a particular application, we study the ejection (collision) orbits. The parameterization method is applied up to high order to obtain suitable initial conditions of ejection (collision) orbits. Moreover, assuming ejection orbits, different methods are discussed to detect which of them are also collision orbits. Finally we explore the so called ejection-collision (EC) orbits, that is, orbits where the particle ejects from one primary, reaches a maximum in the distance with respect to the same primary, and ends at collision with that primary. Some results concerning the existence of spatial EC orbits are described.