A. Bengochea

activity

20152020

most citedA restricted four-body problem for the eight figure choreography

2 citations · 2 across the 2 of their papers we have counts for

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math.DS2020

Continuation of relative equilibria in the $n$ --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 $n$ --body problem can be continued to spaces of constant curvature $κ$ , positive or negative, for small…

math.DS2019★ 2 cited

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…

math.DS2015

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;…

Continuation of relative equilibria in the n--body problem to spaces of constant curvature

A restricted four-body problem for the eight figure choreography

On a planar circular restricted charged three-body problem

Continuation of relative equilibria in the $n$ --body problem to spaces of constant curvature