Linear stability of the elliptic relative equilibrium with (1 + n)-gon central configurations in planar n-body problem
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Publication:5212995
DOI10.1088/1361-6544/ab5927zbMath1437.37066arXiv1903.10270OpenAlexW3098491977MaRDI QIDQ5212995
Xijun Hu, Long, Yiming, Yuwei Ou
Publication date: 31 January 2020
Published in: Nonlinearity (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1903.10270
Lagrangian submanifolds; Maslov index (53D12) (n)-body problems (70F10) Stability problems for finite-dimensional Hamiltonian and Lagrangian systems (37J25)
Related Items (6)
Linear stability of elliptic relative equilibria of restricted four-body problem ⋮ Linear stability of the elliptic relative equilibrium with \((1+7)\)-gon central configuration in planar \(N\)-body problem ⋮ Linear stability of elliptic relative equilibria of four-body problem with two infinitesimal masses ⋮ Linear stability of an elliptic relative equilibrium in the spatial \(n\)-body problem via index theory ⋮ Index iteration theories for periodic orbits: old and new ⋮ Linear instability of elliptic rhombus solutions to the planar four-body problem
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