267 citations · 420 across the 25 of their papers we have counts for
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math.DS2014★ 26 cited
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…
math.DS2014
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…
math.DS2014
A General Mechanism of Diffusion in Hamiltonian Systems: Qualitative Results
Marian Gidea, Rafael de la Llave, Tere Seara
We present a general mechanism to establish the existence of diffusing orbits in a large class of nearly integrable Hamiltonian systems. Our approach relies on successive applicati…