The curved \(N\)-body problem: risks and rewards

DOI10.1007/S00283-013-9397-1zbMath1302.70029OpenAlexW2028223321MaRDI QIDQ384413

Florin Nicolae Diacu

Publication date: 27 November 2013

Published in: The Mathematical Intelligencer (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00283-013-9397-1

Mathematics Subject Classification ID

(n)-body problems (70F10) Lagrange's equations (70H03)

Related Items (11)

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 ⋮ 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 spatial problem of 2 bodies on a sphere. Reduction and stochasticity ⋮ Circular non-collision orbits for a large class of \(n\)-body problems ⋮ Relative Equilibria in curved restricted 4-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

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