Stability of the polar equilibria in a restricted three-body problem on the sphere
DOI10.1134/S1560354718010070zbMath1433.70015OpenAlexW2793563750WikidataQ125361527 ScholiaQ125361527MaRDI QIDQ1795607
Publication date: 16 October 2018
Published in: Regular and Chaotic Dynamics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1134/s1560354718010070
normal formnonlinear stabilityresonanceHamiltonian formulationcircular restricted three-body problem on surfaces of constant curvature
Three-body problems (70F07) Dynamical systems of geometric origin and hyperbolicity (geodesic and horocycle flows, etc.) (37D40) Dynamical systems methods for problems in mechanics (70G60)
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Cites Work
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- The \(n\)-body problem in spaces of constant curvature. II: Singularities
- Stability of equilibrium solutions of autonomous and periodic Hamiltonian systems with \(n\)-degrees of freedom in the case of single resonance
- An intrinsic approach in the curved \(n\)-body problem: the negative curvature case
- Introduction to Hamiltonian dynamical systems and the \(N\)-body problem.
- Kepler's problem in constant curvature spaces
- On the stability of an autonomous Hamiltonian system with two degrees of freedom in the case of equal frequencies
- On stability of an autonomous Hamiltonian system with two degrees of freedom under first-order resonance
- Loss of stability in Hamiltonian systems that depend on parameters
- Two-body problem on a sphere. Reduction, stochasticity, periodic orbits
- Relative equilibria of the restricted three-body problem in curved spaces
- The spatial problem of 2 bodies on a sphere. Reduction and stochasticity
- Bifurcations of the Lagrangian orbits from the classical to the curved 3-body problem
- An intrinsic approach in the curved $n$-body problem. The positive curvature case
- Eulerian relative equilibria of the curved 3-body problems in 𝐒²
- Response to “Comment on ‘Central potentials on spaces of constant curvature: The Kepler problem on the two-dimensional sphere S2 and the hyperbolic plane H2’ ” [J. Math. Phys. 46, 052702 (2005)]
- Stability of equilibria and fixed points of conservative systems
- Normal forms for real linear Hamiltonian systems with purely imaginary eigenvalues
- Dynamics and Regularization of the Kepler Problem on Surfaces of Constant Curvature
- Canonical transformations depending on a small parameter
- Libration points in spaces \(S^2\) and \(L^2\)
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