44 citations · 90 across the 5 of their papers we have counts for
5 papers
The spatial Hill four-body problem I -- An exploration of basic invariant sets
Jaime Burgos-Garcia, Abimael Bengochea, Luis Franco-Perez
In this work, we perform a first study of basic invariant sets of the spatial Hill's four-body problem, where we have used both analytical and numerical approaches. This system dep…
Families of periodic orbits in the planar Hill four-body problem
Jaime Burgos-Garcia
In this work we perform a numerical exploration of the families of planar periodic orbits in the Hill's approximation in the restricted four body problem, that is, after a symplect…
Regularization in the Restricted Four Body Problem
Jaime Burgos-Garcia
The restricted (equilateral) four-body problem consists of three bodies of masses m1, m2 and m3 (called primaries) lying in a Lagrangian config- uration of the three-body problem,…
On the "Blue sky catastrophe termination" in the restricted four-body problem
Jaime Burgos-Garcia, Joaquin Delgado
The restricted three-body problem posses the property that some classes of doubly asymptotic orbits are limits members of families of periodic orbits, this phenomena has been known…
Periodic orbits in the restricted four-body problem with two equal masses
Jaime Burgos-García, Joaquín Delgado
The restricted (equilateral) four-body problem consists of three bodies of masses m1, m2 and m3 (called primaries) lying in a Lagrangian configuration of the three-body problem i.e…