The Lie–Poisson structure of the reduced n-body problem

DOI10.1088/0951-7715/26/6/1565zbMath1268.70011arXiv1207.5883OpenAlexW2018922908MaRDI QIDQ2839484

Holger R. Dullin

Publication date: 11 July 2013

Published in: Nonlinearity (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1207.5883

Mathematics Subject Classification ID

(n)-body problems (70F10) Numerical methods for Hamiltonian systems including symplectic integrators (65P10)

Related Items (4)

Poisson Structure and Reduction by Stages of the Full Gravitational $N$-Body Problem ⋮ Symmetries and reduction in nonholonomic mechanics ⋮ Relative equilibria of the 3-body problem in \(\mathbb{R}^4\) ⋮ Flow reconstruction and invariant tori in the spatial three-body problem

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