Transfers from the Earth to L2 Halo orbits in the Earth-Moon bicircular problem

This paper deals with direct transfers from the Earth to Halo orbits related to the translunar point. The gravitational influence of the Sun as a fourth body is taken under consideration by means of the Bicircular Problem (BCP), which is a periodic time dependent perturbation of the Restricted Three...

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Bibliographic Details
Authors: Rosales de Cáceres, José J., Jorba i Monte, Àngel, Jorba Cuscó, Marc
Format: article
Status:Versión aceptada para publicación
Publication Date:2021
Country:España
Institution:Universidad de Barcelona
Repository:Dipòsit Digital de la UB
OAI Identifier:oai:diposit.ub.edu:2445/183552
Online Access:https://hdl.handle.net/2445/183552
Access Level:Open access
Keyword:Mecànica orbital
Problema dels tres cossos
Problema dels n cossos
Sistemes hamiltonians
Orbital mechanics
Three-body problem
Many-body problem
Hamiltonian systems
Description
Summary:This paper deals with direct transfers from the Earth to Halo orbits related to the translunar point. The gravitational influence of the Sun as a fourth body is taken under consideration by means of the Bicircular Problem (BCP), which is a periodic time dependent perturbation of the Restricted Three Body Problem (RTBP) that includes the direct effect of the Sun on the spacecraft. In this model, the Halo family is quasi-periodic. Here we show how the effect of the Sun bends the stable manifolds of the quasi-periodic Halo orbits in a way that allows for direct transfers.