Numerical study of periodic orbit properties in a dynamical system with three degrees of freedom

DOI10.1007/BF01243741zbMath0503.70009OpenAlexW2048771243MaRDI QIDQ3969911

Pierre Magnenat

Publication date: 1982

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

Full work available at URL: https://doi.org/10.1007/bf01243741

zbMATH Keywords

three degrees of freedomperiodic orbit properties

Mathematics Subject Classification ID

Computational methods for problems pertaining to mechanics of particles and systems (70-08) Celestial mechanics (70F15)

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Cites Work

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• A family of periodic solutions of the planar three-body problem, and their stability
• The Lyapunov characteristic exponents as indicators of stochasticity in the restricted three-body problem
• The stability of periodic orbits in the three-body problem
• Stability of periodic orbits in the elliptic, restricted three-body problem.