Bifurcations of the Lagrangian orbits from the classical to the curved 3-body problem
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Publication:2836125
DOI10.1063/1.4967443zbMath1393.70028arXiv1508.06043OpenAlexW2254795344MaRDI QIDQ2836125
Publication date: 7 December 2016
Published in: Journal of Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1508.06043
Related Items (9)
Central configurations of the curved \(N\)-body problem ⋮ Attracting and repelling 2-body problems on a family of surfaces of constant curvature ⋮ Almost all 3-body relative equilibria on \(\mathbb{S}^2\) and \(\mathbb{H}^2\) are inclined ⋮ Super central configurations in the collinear 5-body problem ⋮ Three-dimensional central configurations in ℍ3 and 𝕊3 ⋮ On the \(n\)-body problem on surfaces of revolution ⋮ Relative equilibria of the restricted three-body problem in curved spaces ⋮ Stability of the polar equilibria in a restricted three-body problem on the sphere ⋮ Relative Equilibria in curved restricted 4-body problems
Cites Work
- Unnamed Item
- The curved \(N\)-body problem: risks and rewards
- Existence of a lower bound for the distance between point masses of relative equilibria in spaces of constant curvature
- Relative equilibria of the curved \(N\)-body problem.
- The \(n\)-body problem in spaces of constant curvature. II: Singularities
- Existence of a class of rotopulsators
- Homographic solutions of the curved 3-body problem
- An intrinsic approach in the curved \(n\)-body problem: the negative curvature case
- On the stability of the Lagrangian homographic solutions in a curved three-body problem on \(\mathbb{S}^2\)
- Relative equilibria of the restricted three-body problem in curved spaces
- On the stability of tetrahedral relative equilibria in the positively curved 4-body problem
- Classification and stability of relative equilibria for the two-body problem in the hyperbolic space of dimension 2
- Rotopulsators of the curved \(N\)-body problem
- An intrinsic approach in the curved $n$-body problem. The positive curvature case
- All the Lagrangian relative equilibria of the curved 3-body problem have equal masses
- On the singularities of the curved $n$-body problem
- Eulerian relative equilibria of the curved 3-body problems in 𝐒²
- Saari's homographic conjecture of the three-body problem
- Polygonal homographic orbits in spaces of constant curvature
- Rectangular orbits of the curved 4-body problem
- Polygonal homographic orbits of the curved $n$-body problem
- Nonintegrability of the two-body problem in constant curvature spaces
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