Families of Halo-like invariant tori around \(L_2\) in the Earth-Moon bicircular problem
type: Item
instance of: scholarly article
title: Families of Halo-like invariant tori around \(L_2\) in the Earth-Moon bicircular problem
zbMATH Open document ID: 1472.70032
author: J. J. Rosales
author: Àngel Jorba
author: Marc Jorba-Cuscó
published in: Celestial Mechanics and Dynamical Astronomy
publication date: 2021-06-21T00:00:00Z
review text: In this paper the dynamics of a particle in the Earth-Moon Restricted Three-Body Problem (RTBP), that includes the direct gravitational effect of the Sun, is studied. The paper focuses on the dynamics around the L2 point in the Bicircular Problem (BCP), which is a periodic time dependent perturbation of the Earth-Moon (RTBP) that includes the direct gravitational effect of the Sun, in order to study the existence of Halo-like orbits. The authors compute families of 2D invariant tori, and they show that there are at least two different families of Halo-like quasi-periodic orbits around L2. The focus in Halo-like orbits are not arbitrary, and it responds to the application that these trajectories have for lunar missions. The authors mention that all the tools and techniques, in the paper, are model-agnostic.
Mathematics Subject Classification ID: 70F10
Mathematics Subject Classification ID: 70F15
Mathematics Subject Classification ID: 70K43
Mathematics Subject Classification ID: 70K42
Mathematics Subject Classification ID: 70M20
Mathematics Subject Classification ID: 70K60
Mathematics Subject Classification ID: 70H09
Mathematics Subject Classification ID: 70H12
zbMATH DE Number: 7361318
zbMATH Keywords: translunar point
zbMATH Keywords: quasi-periodic Halo orbits
zbMATH Keywords: stability of invariant curves
reviewed by: Maria Gousidou-Koutita
MaRDI profile type: Publication
full work available at URL: s10569-021-10012-0
OpenAlex ID: W3149096181
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DOI: 10.1007/S10569-021-10012-0
description: scientific article; zbMATH DE number 7361318