Stability of two groups of multi-revolution elliptic halo orbits in the elliptic restricted three-body problem

2015 ◽  
Vol 123 (3) ◽  
pp. 279-303 ◽  
Author(s):  
Hao Peng ◽  
Shijie Xu
Keyword(s):  
Body Problem ◽  
Restricted Three Body Problem ◽  
Three Body Problem ◽  
Halo Orbits ◽  
Three Body

scholarly journals Transfers from the Earth to $$L_2$$ Halo orbits in the Earth–Moon bicircular problem

2021 ◽  
Vol 133 (11-12) ◽  
Author(s):  
José J. Rosales ◽  
Àngel Jorba ◽  
Marc Jorba-Cuscó
Keyword(s):  
Direct Effect ◽  
Body Problem ◽  
Time Dependent ◽  
Restricted Three Body Problem ◽  
The Sun ◽  
Three Body Problem ◽  
Halo Orbits ◽  
The Earth ◽  
Gravitational Influence ◽  
Three Body

AbstractThis 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.

Lissajous and Halo Orbits in the Restricted Three-Body Problem

2015 ◽  
Vol 25 (2) ◽  
pp. 343-370 ◽  
Author(s):  
Alessandra Celletti ◽  
Giuseppe Pucacco ◽  
Danilo Stella
Keyword(s):  
Body Problem ◽  
Restricted Three Body Problem ◽  
Three Body Problem ◽  
Halo Orbits ◽  
Three Body

scholarly journals Halo orbits around the collinear points of the restricted three-body problem

2016 ◽  
Vol 317 ◽  
pp. 28-42 ◽  
Author(s):  
Marta Ceccaroni ◽  
Alessandra Celletti ◽  
Giuseppe Pucacco
Keyword(s):  
Body Problem ◽  
Restricted Three Body Problem ◽  
Three Body Problem ◽  
Halo Orbits ◽  
Three Body
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