Removing collision singularities from action minimizers for the \(N\)-body problem with free boundaries
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Publication:2498086
DOI10.1007/s00205-005-0413-2zbMath1095.70006OpenAlexW2171648360MaRDI QIDQ2498086
Publication date: 11 August 2006
Published in: Archive for Rational Mechanics and Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00205-005-0413-2
Related Items (17)
Transitive decomposition of symmetry groups for the \(n\)-body problem ⋮ New Phenomena in the Spatial Isosceles Three-Body Problem with Unequal Masses ⋮ A symmetric spatial periodic orbit in the \(2n\)-body problem ⋮ Multiple periodic orbits connecting a collinear configuration and a double isosceles configuration in the planar equal-mass four-body problem ⋮ Geometric properties of minimizers in the planar three-body problem with two equal masses ⋮ Syzygy sequences of the -center problem ⋮ A continuum of periodic solutions to the planar four-body problem with two pairs of equal masses ⋮ Action minimizers under topological constraints in the planar equal-mass four-body problem ⋮ A minimizing property of hyperbolic Keplerian orbits ⋮ Variational properties and linear stabilities of spatial isosceles orbits in the equal-mass three-body problem ⋮ New periodic orbits in the planar equal-mass five-body problem ⋮ Exclusion of quadruple collisions in minimizers of the planar equal-mass N-body problem ⋮ Connecting planar linear chains in the spatial \(N\)-body problem ⋮ Spatial double choreographies of the Newtonian \(2n\)-body problem ⋮ Variational proof of the existence of the super-eight orbit in the four-body problem ⋮ The Broucke–Hénon orbit and the Schubart orbit in the planar three-body problem with two equal masses ⋮ On action-minimizing retrograde and prograde orbits of the three-body problem
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