The Classical N-body Problem in the Context of Curved Space

DOI10.4153/CJM-2016-041-2zbMath1420.70005arXiv1405.0453MaRDI QIDQ4978562

Florin Nicolae Diacu

Publication date: 25 August 2017

Published in: Canadian Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1405.0453

zbMATH Keywords

\(N\)-body problemspaces of constant curvature

Mathematics Subject Classification ID

Applications of global differential geometry to the sciences (53C80) Celestial mechanics (70F15) (n)-body problems (70F10)

Related Items (12)

Equilibrium points in restricted problems on S2 and H2 ⋮ Central configurations of the curved \(N\)-body problem ⋮ Unnamed Item ⋮ 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 ⋮ Collision trajectories and regularisation of two-body problem on \(S^2\) ⋮ 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 ⋮ The N-body problem in spaces with uniformly varying curvature ⋮ Relative equilibria of the restricted three-body problem in curved spaces ⋮ Relative Equilibria in curved restricted 4-body problems

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