2 citations · 2 across the 5 of their papers we have counts for
6 papers
Periodic orbits near collision in a restricted four-body problem for the eight choreography
Abimael Bengochea, Jaime Burgos-García, Ernesto Pérez-Chavela
We study orbits near collision in a non-autonomous restricted planar four-body problem. This restricted problem consists of a massless particle moving under the gravitational influ…
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…
Continuation of relative equilibria in the --body problem to spaces of constant curvature
Abimael Bengochea, Carlos García-Azpeitia, Ernesto Pérez-Chavela +1
We prove that all non-degenerate relative equilibria of the planar Newtonian --body problem can be continued to spaces of constant curvature , positive or negative, for small…
Comet and moon solutions in the time-dependent restricted -body problem
Carlos Barrera, Abimael Bengochea, Carlos García-Azpeitia
The time-dependent restricted -body problem concerns the study of a massless body (satellite) under the influence of the gravitational field generated by primary bodies…
A restricted four-body problem for the eight figure choreography
Ricardo Lara, Abimael Bengochea
In this work we introduce a planar restricted four-body problem where a massless particle moves under the gravitational influence due to three bodies following the eight figure cho…
On a planar circular restricted charged three-body problem
Abimael Bengochea, Claudio Vidal
We introduce a circular restricted charged three-body problem on the plane. In this model, the gravitational and Coulomb forces, due to the primary bodies, act on a test particle;…