Compactness and index of ordinary central configurations for the curved \(n\)-body problem
DOI10.1134/S1560354721030035zbMath1491.70013arXiv2003.06850OpenAlexW3121761384MaRDI QIDQ2058475
Publication date: 9 December 2021
Published in: Regular and Chaotic Dynamics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2003.06850
compactnessMorse indexrelative equilibriumgeodesic configurationscurved \(n\)-body problemhyperbolic relative equilibriumordinary central configurations
Equilibria and periodic trajectories for nonlinear problems in mechanics (70K42) Celestial mechanics (70F15) Ordinary differential equations and systems on manifolds (34C40)
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Cites Work
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- Existence of a lower bound for the distance between point masses of relative equilibria in spaces of constant curvature
- Finiteness of central configurations of five bodies in the plane
- An intrinsic approach in the curved \(n\)-body problem: the negative curvature case
- Central configurations of the N-body problem via equivariant Morse theory
- Relative equilibria of the n-body problem in \(E^4\)
- Central configurations of the curved \(N\)-body problem
- Two-body problem on a sphere. Reduction, stochasticity, periodic orbits
- Reduction and relative equilibria for the two-body problem on spaces of constant curvature
- The angular momentum of a relative equilibrium
- Relative equilibria of the restricted three-body problem in curved spaces
- Regular polygonal equilibria on \(\mathbb{S}^1\) and stability of the associated relative equilibria
- Dziobek equilibrium configurations on a sphere
- Almost all 3-body relative equilibria on \(\mathbb{S}^2\) and \(\mathbb{H}^2\) are inclined
- Hyperbolic relative equilibria for the negative curved \(n\)-body problem
- Mathematical aspects of classical and celestial mechanics. Transl. from the Russian by E. Khukhro.
- Topology and mechanics. II: The planar \(n\)-body problem
- Classification and stability of relative equilibria for the two-body problem in the hyperbolic space of dimension 2
- Relative equilibria in the 3-dimensional curved n-body problem
- All the Lagrangian relative equilibria of the curved 3-body problem have equal masses
- Three-dimensional central configurations in ℍ3 and 𝕊3
- Lectures on Mechanics
- Classifying relative equilibria. I
- Libration points in spaces \(S^2\) and \(L^2\)
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