Computing Planar and Spherical Choreographies

DOI10.1137/15M1024652zbMath1398.70031arXiv1505.04848OpenAlexW2244363628MaRDI QIDQ2790858

Nikola I. Gushterov, Hadrien Montanelli

Publication date: 8 March 2016

Published in: SIAM Journal on Applied Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1505.04848

zbMATH Keywords

Newton's methodtrigonometric interpolation\(n\)-body problemquasi-Newton methodschoreographies

Mathematics Subject Classification ID

Celestial mechanics (70F15) (n)-body problems (70F10) Periodic and almost periodic solutions for problems in Hamiltonian and Lagrangian mechanics (70H12)

Related Items

Central configurations of the curved \(N\)-body problem ⋮ Classification of positive elliptic-elliptic rotopulsators on Clifford tori ⋮ Results on equality of masses for choreographic solutions of n-body problems ⋮ Variational property of periodic Kepler orbits in constant curvature spaces ⋮ Computing hyperbolic choreographies ⋮ The spatial problem of 2 bodies on a sphere. Reduction and stochasticity ⋮ A restricted four-body problem for the figure-eight choreography ⋮ Finding extremals of Lagrangian actions

Uses Software

• Chebfun
• chebop

Cites Work

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