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Transit regions and ejection/collision orbits in the RTBP
Communications in Nonlinear Science and Numerical Simulation ( IF 3.4 ) Pub Date : 2020-10-02 , DOI: 10.1016/j.cnsns.2020.105550
M. Ollé , O. Rodríguez , J. Soler

In this paper we analyse the global behaviour of the whole set of ejection orbits in the planar circular RTBP. We consider ejection from the big or the small primary, that is we take the mass parameter μ, the mass traditionally associated with the small primary, in a range of values μ ∈ (0, 1) (the other primary has mass 1μ). A discussion on the relation between the Lyapunov periodic orbit around the collinear equilibrium point L1 and the ejection orbits is carried out in the range of values of the Jacobi constant such that the associated Hill regions permit only a bounded movement. In particular a chaotic infinity of heteroclinic connections between a primary and the LPO1 are obtained. As a consequence a chaotic infinity of ejection-collision orbits is also derived. Finally, 2D plots, called colour code diagrams, allow to describe the global dynamics of the ejection orbits given a range of time. Such diagrams provide a very accurate understanding of the dynamics of the orbits under discussion.



中文翻译:

RTBP中的运输区域和弹射/碰撞轨道

在本文中,我们分析了平面圆形RTBP中整个射出轨道的整体行为。我们认为喷出从大或小的伯,这是我们需要的质量参数μ,传统上与小的一次相关联的质量,在一个范围内的值μ  ∈(0,1)(另一个主具有质量1个-μ)。关于共线平衡点L 1周围的Lyapunov周期轨道与射出轨道之间的关系的讨论是在Jacobi常数的值范围内进行的,以使相关的Hill区域仅允许有界运动。特别地,获得了初级和LPO 1之间的异斜连接的混沌无限。结果,还得出了射出碰撞轨道的混沌无限。最后,称为颜色代码图的2D图可以描述给定时间范围内的射出轨道的整体动力学。这样的图提供了对正在讨论的轨道动力学的非常准确的理解。

更新日期:2020-10-15
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