From the circular to the spatial elliptic restricted three-body problem

DOI10.1007/S10569-006-9023-ZzbMath1219.70028OpenAlexW1973309830MaRDI QIDQ850697

Jesús F. Palacián, Patricia Yanguas

Publication date: 6 November 2006

Published in: Celestial Mechanics and Dynamical Astronomy (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10569-006-9023-z

zbMATH Keywords

stabilityrelative equilibriabifurcationsinvariant toriaveragingspatial restricted three-body problem

Mathematics Subject Classification ID

Three-body problems (70F07) Equilibria and periodic trajectories for nonlinear problems in mechanics (70K42) Dynamical systems in classical and celestial mechanics (37N05) Nearly integrable Hamiltonian systems, KAM theory (70H08)

Related Items (3)

Determination of the doubly symmetric periodic orbits in the restricted three-body problem and Hill's lunar problem ⋮ Influence of planetary oblateness on Keplerian dynamics in magnetospheres and existence of invariant tori ⋮ Analytical and semianalytical treatment of the collinear points in the photogravitational relativistic RTBP

Cites Work

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• Doubly-symmetric periodic solutions of the spatial restricted three-body problem
• Normal forms for perturbed Keplerian systems.
• Decomposition of functions for elliptic orbits
• Quasiperiodic motions in the planar three-body problem
• Asymptotic invariant tori of perturbed two-body problems
• Searching for periodic orbits of the spatial elliptic restricted three-body problem by double averaging
• Analytic continuation in the case of non-regular dependency on a small parameter with an application to celestial mechanics
• Morse Theory. (AM-51)
• The elimination of the parallax in satellite theory
• Reduction, Brouwer's Hamiltonian, and the critical inclination
• BURRAU'S PROBLEM OF THREE BODIES
• Canonical transformations depending on a small parameter
• Regularization of kepler's problem and the averaging method on a manifold
• Delaunay normalisations
• Introduction to Hamiltonian dynamical systems and the \(N\)-body problem
• Averaging the planar three-body problem in the neighborhood of double inner collisions

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