The vicinity of the Earth-Moon \(L_1\) point in the bicircular problem
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Publication:2004681
DOI10.1007/s10569-019-9940-2zbMath1443.70040OpenAlexW3004815650MaRDI QIDQ2004681
Marc Jorba-Cuscó, Àngel Jorba, José J. Rosales
Publication date: 7 October 2020
Published in: Celestial Mechanics and Dynamical Astronomy (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10569-019-9940-2
Stability of topological dynamical systems (37B25) Three-body problems (70F07) General perturbation schemes for nonlinear problems in mechanics (70K60) Normal forms for dynamical systems (37G05)
Related Items
On the semi-analytical construction of halo orbits and halo tubes in the elliptic restricted three-body problem, 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, Families of Halo-like invariant tori around \(L_2\) in the Earth-Moon bicircular problem, Transfers from the Earth to \(L_2\) halo orbits in the Earth-Moon bicircular problem, Transits close to the Lagrangian solutions L 1, L 2 in the elliptic restricted three-body problem
Uses Software
Cites Work
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- On the high order approximation of the centre manifold for ODEs
- Effective computation of the dynamics around a two-dimensional torus of a Hamiltonian system
- Effective stability for a Hamiltonian system near an elliptic equilibrium point, with an application to the restricted three body problem
- On the persistence of lower dimensional invariant tori under quasi-periodic perturbations
- On the vertical families of two-dimensional tori near the triangular points of the bicircular problem
- Dynamics in the center manifold of the collinear points of the restricted three-body problem
- Dynamics in the center manifold around \(L_2\) in the quasi-bicircular problem
- Lissajous and halo orbits in the restricted three-body problem
- Dynamics and Mission Design Near Libration Points
- The ?Halo? family of 3-dimensional periodic orbits in the Earth-Moon restricted 3-body problem
- A Software Package for the Numerical Integration of ODEs by Means of High-Order Taylor Methods
- MPFR
- A note on a Lagrangian formulation for motion about the collinear points
- Formal integrals for an autonomous Hamiltonian system near an equilibrium point
- A Methodology for the Numerical Computation of Normal Forms, Centre Manifolds and First Integrals of Hamiltonian Systems
- On the construction of the Kolmogorov normal form for the Trojan asteroids
- Invariant manifolds of a non-autonomous quasi-bicircular problem computed via the parameterization method
- A restricted four-body model for the dynamics near the Lagrangian points of the Sun-Jupiter system
