Three-dimensional central configurations in ℍ3 and 𝕊3

DOI10.1063/1.4975214zbMath1406.70019arXiv1605.08730OpenAlexW2963187714MaRDI QIDQ2968439

Shuqiang Zhu, Suo Zhao

Publication date: 13 March 2017

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1605.08730

Mathematics Subject Classification ID

(n)-body problems (70F10)

Related Items (9)

Central configurations of the curved \(N\)-body problem ⋮ Inverse problem of central configurations in the collinear 5-body problem ⋮ 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 ⋮ Classification of positive elliptic-elliptic rotopulsators on Clifford tori ⋮ Polygonal rotopulsators of the curved n-body problem ⋮ Results on equality of masses for choreographic solutions of n-body problems ⋮ Circular non-collision orbits for a large class of \(n\)-body problems ⋮ Compactness and index of ordinary central configurations for the curved \(n\)-body problem

Cites Work

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• A continuum of relative equilibria in the five-body problem
• Continua of central configurations with a negative mass in the \(n\)-body problem
• Bifurcations of the Lagrangian orbits from the classical to the curved 3-body problem
• Relative equilibria in the 3-dimensional curved n-body problem
• Eulerian relative equilibria of the curved 3-body problems in 𝐒²
• Polygonal homographic orbits of the curved $n$-body problem
• Saari’s conjecture for the collinear $n$-body problem
• Libration points in spaces \(S^2\) and \(L^2\)

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