26 citations · 26 across the 4 of their papers we have counts for
4 papers
Arnold diffusion in the elliptic Hill four-body problem: geometric method and numerical verification
Jaime Burgos, Marian Gidea, Claudio Sierpe
We present a mechanism for Arnold diffusion in energy in a model of the elliptic Hill four-body problem. Our model is expressed as a small perturbation of the circular Hill four-bo…
Hill four-body problem with oblate tertiary: an application to the Sun-Jupiter-Hektor-Skamandrios system
Jaime Burgos-Garcia, Alessandra Celletti, Catalin Gales +2
We consider a restricted four-body problem with a precise hierarchy between the bodies: two point-mass bigger bodies, a smaller one with oblate shape, and an infinitesimal body in…
Hill approximation in a restricted four-body problem
Jaime Burgos-Garcia, Marian Gidea
We consider a restricted four-body problem on the dynamics of a massless particle under the gravitational force produced by three mass points forming an equilateral triangle config…
Generalization of the Hill problem as an application for the Trojan asteroids of the solar system
Jaime Burgos-Garcia, Marian Gidea
The restricted four body problem studies the dynamics of a massless particle under the gravitational force produced by three masses (primaries) in an equilateral configuration. One…