Numerical integration of the \(N\)-body ring problem by recurrent power series

DOI10.1007/S10569-018-9816-XzbMath1390.70023OpenAlexW2787976142MaRDI QIDQ1640674

Y. Aharonov

Publication date: 14 June 2018

Published in: Celestial Mechanics and Dynamical Astronomy (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10569-018-9816-x

zbMATH Keywords

Hamiltonian systemsrecurrent series\(N\)-body ring problem

Mathematics Subject Classification ID

Computational methods for problems pertaining to mechanics of particles and systems (70-08) (n)-body problems (70F10)

Related Items (4)

On the long term numerical integration of planetary rings ⋮ Analysis of the escape in systems with four exit channels ⋮ Retrograde periodic orbits in 1/2, 2/3 and 3/4 mean motion resonances with Neptune ⋮ Analysis of the distribution of times of escape in the \(N\)-body ring problem

Cites Work

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• Bifurcations and equilibria in the extended \(N\)-body ring problem
• A planar case of the \(n+1\) body problem: The ring problem
• Periodic solutions in the ring problem
• Numerical exploration of the limit ring problem
• High-Order Symplectic Runge–Kutta–Nyström Methods

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