Transport and invariant manifolds near \(L_3\) in the Earth-Moon bicircular model

DOI10.1016/J.CNSNS.2020.105327zbMath1476.70019OpenAlexW3026940870MaRDI QIDQ2208125

Àngel Jorba, Begoña Nicolás

Publication date: 23 October 2020

Published in: Communications in Nonlinear Science and Numerical Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cnsns.2020.105327

Mathematics Subject Classification ID

Three-body problems (70F07) Invariant manifold theory for dynamical systems (37D10) Symmetries and conservation laws, reverse symmetries, invariant manifolds and their bifurcations, reduction for problems in Hamiltonian and Lagrangian mechanics (70H33)

Related Items (9)

The vicinity of Earth-Moon \(L_1\) and \(L_2\) in the Hill restricted 4-body problem ⋮ Invariant manifolds near \(L_1\) and \(L_2\) in the quasi-bicircular problem ⋮ Breakdown of homoclinic orbits to \(L_3\) in the RPC3BP. II: An asymptotic formula ⋮ Families of Halo-like invariant tori around \(L_2\) in the Earth-Moon bicircular problem ⋮ Using invariant manifolds to capture an asteroid near the \(L_3\) point of the Earth-Moon bicircular model ⋮ Transfers from the Earth to \(L_2\) halo orbits in the Earth-Moon bicircular problem ⋮ Melnikov method for non-conservative perturbations of the restricted three-body problem ⋮ Using normal forms to study Oterma's transition in the planar RTBP ⋮ Transits close to the Lagrangian solutions L ₁, L ₂ in the elliptic restricted three-body problem

Uses Software

• Taylor

Cites Work

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