Existence of a class of rotopulsators

DOI10.1016/J.JMAA.2013.02.066zbMath1304.70014arXiv1212.2296OpenAlexW2964224999MaRDI QIDQ488724

Pieter Tibboel

Publication date: 26 January 2015

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1212.2296

zbMATH Keywords

dynamical systemsordinary differential equations\(n\)-body problemmathematical physicsapplied mathematics\(n\)-body problem in spaces of constant curvaturerotopulsators

Mathematics Subject Classification ID

(n)-body problems (70F10)

Related Items (12)

Finiteness of polygonal relative equilibria for generalised quasi-homogeneous \(n\)-body problems and \(n\)-body problems in spaces of constant curvature ⋮ Central configurations of the curved \(N\)-body problem ⋮ All the Lagrangian relative equilibria of the curved 3-body problem have equal masses ⋮ Existence of a lower bound for the distance between point masses of relative equilibria in spaces of constant curvature ⋮ 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 curved symmetric 2- and 3-center problem on constant negative surfaces ⋮ The N-body problem in spaces with uniformly varying curvature ⋮ Circular non-collision orbits for a large class of \(n\)-body problems ⋮ Bifurcations of the Lagrangian orbits from the classical to the curved 3-body problem ⋮ Existence of a lower bound for the distance between point masses of relative equilibria for generalised quasi-homogeneous n-body problems and the curved n-body problem

Cites Work

• Relative equilibria of the curved \(N\)-body problem.
• The \(n\)-body problem in spaces of constant curvature. II: Singularities
• Homographic solutions of the curved 3-body problem
• Kepler's problem in constant curvature spaces
• Rotopulsators of the curved \(N\)-body problem
• Relative equilibria in the 3-dimensional curved n-body problem
• On the singularities of the curved $n$-body problem
• Central potentials on spaces of constant curvature: The Kepler problem on the two-dimensional sphere S2 and the hyperbolic plane H2
• Polygonal homographic orbits in spaces of constant curvature
• Polygonal homographic orbits of the curved $n$-body problem

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