Horseshoes and nonintegrability in the restricted case of a spinless axisymmetric rigid body in a central gravitational field

DOI10.1007/BF00691915zbMath0886.70009OpenAlexW2084747402MaRDI QIDQ1363150

Radu Balan

Publication date: 17 May 1998

Published in: Celestial Mechanics and Dynamical Astronomy (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00691915

zbMATH Keywords

configuration spaceHamiltonian systemKeplerian orbittwo-dimensional sphereNewtonian field

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Free motion of a rigid body (70E15) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35)

Cites Work

• Nonlinear oscillations, dynamical systems, and bifurcations of vector fields
• On a state space approach to nonlinear \(H_ \infty\) control
• Melnikov method and transversal homoclinic points in the restricted three-body problem
• Global bifurcations and chaos. Analytical methods
• Construction of invariant tori for the spin-orbit problem in the Mercury-Sun system
• The stable, center-stable, center, center-unstable, unstable manifolds
• On Morse-Smale dynamical systems
• Stable and Random Motions in Dynamical Systems
• Geometry of the Algebraic Riccati Equation, Part II
• Stationary motions in a restricted problem of three rigid bodies
• BURRAU'S PROBLEM OF THREE BODIES
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