Some new dynamical effects in the perturbed Euler-Poinsot problem, due to splitting of separatrices

DOI10.1016/0021-8928(89)90004-XzbMath0722.70005OpenAlexW2071008400MaRDI QIDQ756450

S. A. Dovbysh

Publication date: 1989

Published in: Journal of Applied Mathematics and Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0021-8928(89)90004-x

zbMATH Keywords

weak gravitational fielddynamical effectsexistence of invariant toriperturbed permanent rotationsPoincaré parametersplitting of the asymptotic surfacestransversally intersecting separatrices

Mathematics Subject Classification ID

Free motion of a rigid body (70E15) Perturbation methods for rigid body dynamics (70E20) Local and nonlocal bifurcation theory for dynamical systems (37G99)

Related Items (2)

The Hess-Appelrot system. III: Splitting of separatrices and chaos ⋮ The separatrix of an unstable position of equilibrium of a Hess-Appelrot gyroscope

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Intersection of asymptotic surfaces of the perturbed Euler-Poinsot problem
• Integrability and non-integrability in Hamiltonian mechanics
• Two notes on the copenhagen problem
• Final motions in the three-body problem and symbolic dynamics

This page was built for publication: Some new dynamical effects in the perturbed Euler-Poinsot problem, due to splitting of separatrices