Phase portraits of the two-body problem with Manev potential

DOI10.1088/0305-4470/34/9/309zbMath1006.70010OpenAlexW2026342209MaRDI QIDQ2716263

Claudia Valls, Antonio E. Teruel, Jaume Llibre, Alex de la Fuente

Publication date: 6 June 2001

Published in: Journal of Physics A: Mathematical and General (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1088/0305-4470/34/9/309

zbMATH Keywords

invariant setstwo-body problemcritical pointstopological invariantsintegrable Hamiltonian systemsenergy levelsglobal flowManev potentialfoliation of phase spaceHill regionsLiouville-Arnold theory

Mathematics Subject Classification ID

Phase plane analysis, limit cycles for nonlinear problems in mechanics (70K05) Two-body problems (70F05) Generalized coordinates; event, impulse-energy, configuration, state, or phase space for problems in mechanics (70G10)

Related Items

Quasi-homogeneous two-body problem, The Motion of a Gyrostat in a Central Gravitational Field: Phase Portraits of an Integrable Case, Comet- and Hill-type periodic orbits in restricted \((N+1)\)-body problems, Unnamed Item, TOPOLOGY AND PERIODIC ORBITS OF RING-SHAPED POTENTIALS AS A GENERALIZED 4-D ISOTROPIC OSCILLATOR, Qualitative analysis of the phase flow of a Manev system in a rotating reference frame, Global phase portraits of the planar perpendicular problem of two fixed centers, New families of symmetric periodic solutions of the spatial anisotropic Manev problem, Periodic orbits of the spatial anisotropic Manev problem, Linear stability of the Lagrangian triangle solutions for quasihomogeneous potentials