On the number of effective integrals in galactic models

DOI10.1007/BF01227829zbMath0595.70014MaRDI QIDQ3727436

Pierre Magnenat

Publication date: 1985

Published in: Celestial Mechanics (Search for Journal in Brave)

zbMATH Keywords

numerical methodsintegrals of motionLyapunov characteristic exponentsgalactic modelsflat rotation curveStine-Noid box counting techniquethree-dimensional model of a triaxial elliptical galaxytriple section in the configuration space

Mathematics Subject Classification ID

Stability for nonlinear problems in mechanics (70K20) Computational methods for problems pertaining to mechanics of particles and systems (70-08) Hamilton-Jacobi equations in mechanics (70H20) Celestial mechanics (70F15) Galactic and stellar dynamics (85A05) Orbital mechanics (70M20)

Cites Work

• The Lyapunov characteristic exponents as indicators of stochasticity in the restricted three-body problem
• Numerical study of periodic orbit properties in a dynamical system with three degrees of freedom