Polygonal rotopulsators of the curved n-body problem

DOI10.1063/1.5003720zbMath1390.70026arXiv1801.07171OpenAlexW3102132640MaRDI QIDQ4607692

Pieter Tibboel

Publication date: 14 March 2018

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

Full work available at URL: https://arxiv.org/abs/1801.07171

Mathematics Subject Classification ID

(n)-body problems (70F10) Holonomic systems related to the dynamics of a system of particles (70F20)

Related Items (3)

Classification of positive elliptic-elliptic rotopulsators on Clifford tori ⋮ Results on equality of masses for choreographic solutions of n-body problems ⋮ Circular non-collision orbits for a large class of \(n\)-body problems

Cites Work

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• The curved \(N\)-body problem: risks and rewards
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• Existence of a class of rotopulsators
• Rotopulsators of the curved \(N\)-body problem
• 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
• On the singularities of the curved $n$-body problem
• Eulerian relative equilibria of the curved 3-body problems in 𝐒²
• Polygonal homographic orbits in spaces of constant curvature
• The non-existence of centre-of-mass and linear-momentum integrals in the curved N-body problem
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• Rectangular orbits of the curved 4-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
• Polygonal homographic orbits of the curved $n$-body problem

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