Star pentagon and many stable choreographic solutions of the Newtonian 4-body problem
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Publication:2356944
DOI10.1016/j.physd.2015.05.015zbMath1364.70024OpenAlexW1032776956MaRDI QIDQ2356944
Publication date: 7 June 2017
Published in: Physica D (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.physd.2015.05.015
stability\(n\)-body problemvariational methodcentral configurationschoreographic periodic solutionsvariational method with structural prescribed boundary conditions
Stability for nonlinear problems in mechanics (70K20) Equilibria and periodic trajectories for nonlinear problems in mechanics (70K42) Hamilton's equations (70H05) (n)-body problems (70F10)
Related Items (10)
Linear stability of the criss-cross orbit in the equal-mass three-body problem ⋮ New periodic orbits in the planar equal-mass three-body problem ⋮ Multiple periodic orbits connecting a collinear configuration and a double isosceles configuration in the planar equal-mass four-body 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 ⋮ 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 ⋮ Spatial double choreographies of the Newtonian \(2n\)-body problem ⋮ The Broucke–Hénon orbit and the Schubart orbit in the planar three-body problem with two equal masses ⋮ On centered co-circular central configurations of the \(n\)-body problem
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