Qualitative analysis of the phase flow of a Manev system in a rotating reference frame

DOI10.1080/00207160902759359zbMath1175.70011OpenAlexW2090472078MaRDI QIDQ3643168

Juan A. Vera, E. S. Jiménez, M. C. Balsas, Juan Luis García Guirao

Publication date: 10 November 2009

Published in: International Journal of Computer Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00207160902759359

zbMATH Keywords

momentum mapamended potentialLiouville-Arnold theoremHill regionsManev rotating system

Mathematics Subject Classification ID

Three-body problems (70F07) Equilibria and periodic trajectories for nonlinear problems in mechanics (70K42) Poisson manifolds; Poisson groupoids and algebroids (53D17) Stability problems for problems in Hamiltonian and Lagrangian mechanics (70H14)

Cites Work

• On Vlasov-Manev equations. I: Foundations, properties, and nonglobal existence
• Phase portraits of the two-body problem with Manev potential
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