Fiberwise convexity of Hill’s lunar problem
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Publication:5360892
DOI10.1142/S179352531750025XzbMath1418.70021arXiv1411.7573MaRDI QIDQ5360892
Publication date: 26 September 2017
Published in: Journal of Topology and Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1411.7573
Hamiltonian dynamicsrestricted three-body problemFinsler metricMoser regularizationHill's lunar problemfiberwise convextight \(\mathbb{RP}^3\)
Related Items (3)
Existence of either a periodic collisional orbit or infinitely many consecutive collision orbits in the planar circular restricted three-body problem ⋮ Symplectic cohomology and a conjecture of Viterbo ⋮ On a convex embedding of the Euler problem of two fixed centers
Cites Work
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- Introduction to Hamiltonian dynamical systems and the \(N\)-body problem.
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- Hill's lunar equations and the three-body problem
- Contact 3-manifolds twenty years since J. Martinet's work
- The dynamics on three-dimensional strictly convex energy surfaces
- Central stable/unstable manifolds and the destruction of KAM tori in the planar Hill problem
- Global surfaces of section in the planar restricted 3-body problem
- On the periodic orbits and the integrability of the regularized Hill lunar problem
- The Finsler geometry of the rotating Kepler problem
- The Conley–Zehnder indices of the rotating Kepler problem
- Regularization of kepler's problem and the averaging method on a manifold
- Algebraic proof of the non-integrability of Hill's problem
- Non-integrability of Hill's lunar problem.
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