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math.DS2025
A degenerate Arnold diffusion mechanism in the Restricted 3 Body Problem
Marcel Guardia, Jaime Paradela, Tere M. Seara
A major question in dynamical systems is to understand the mechanisms driving global instability in the 3 Body Problem (3BP), which models the motion of three bodies under Newtonia…
math.DS2024
Oscillatory motions, parabolic orbits and collision orbits in the planar circular restricted three-body problem
Marcel Guardia, José Lamas, Tere M. Seara
In this paper we consider the planar circular restricted three body problem (PCRTBP), which models the motion of a massless body under the attraction of other two bodies, the prima…