31 citations · 163 across the 23 of their papers we have counts for
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Rapid GPU-Assisted Search and Parameterization-Based Refinement and Continuation of Connections between Tori in Periodically Perturbed Planar Circular Restricted 3-Body Problems
Bhanu Kumar, Rodney L. Anderson, Rafael de la Llave
When the planar circular restricted 3-body problem (PCRTBP) is periodically perturbed, as occurs in many useful astrodynamics models, most unstable periodic orbits persist as whisk…
KAM quasi-periodic tori for the dissipative spin-orbit problem
Renato Calleja, Alessandra Celletti, Joan Gimeno +1
We provide evidence of the existence of KAM quasi-periodic attractors for a dissipative model in Celestial Mechanics. We compute the attractors extremely close to the breakdown thr…
Efficient and accurate KAM tori construction for the dissipative spin-orbit problem using a map reduction
Renato Calleja, Alessandra Celletti, Joan Gimeno +1
We consider the dissipative spin-orbit problem in Celestial Mechanics, which describes the rotational motion of a triaxial satellite moving on a Keplerian orbit subject to tidal fo…
Rapid and Accurate Methods for Computing Whiskered Tori and their Manifolds in Periodically Perturbed Planar Circular Restricted 3-Body Problems
Bhanu Kumar, Rodney L. Anderson, Rafael de la Llave
When the planar circular restricted 3-body problem (RTBP) is periodically perturbed, families of unstable periodic orbits break up into whiskered tori, with most tori persisting in…
Melnikov method for non-conservative perturbations of the three-body problem
Marian Gidea, Rafael de la Llave, Maxwell Musser
We consider the planar circular restricted three-body problem (PCRTBP), as a model for the motion of a spacecraft relative to the Earth-Moon system. We focus on the Lagrange equili…
Analytic genericity of diffusing orbits in a priori unstable Hamiltonian systems
Qinbo Chen, Rafael de la Llave
The genericity of Arnold diffusion in the analytic category is an open problem. In this paper, we study this problem in the following a priori unstable Hamiltonian system with a ti…