Stability of orbits around a spinning body in a pseudo-Newtonian Hill problem

DOI10.1016/J.PHYSLETA.2008.11.022zbMath1227.70014arXiv0811.4049OpenAlexW2024763350MaRDI QIDQ647064

A. F. Steklain, Patricio S. Letelier

Publication date: 30 November 2011

Published in: Physics Letters. A (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0811.4049

zbMATH Keywords

chaosfractalsdragging of inertial framesHill problempseudo-Newtonian gravity

Mathematics Subject Classification ID

Stability of topological dynamical systems (37B25) Transition to stochasticity (chaotic behavior) for nonlinear problems in mechanics (70K55) Relativistic dynamics for problems in Hamiltonian and Lagrangian mechanics (70H40) Fractals (28A80) Celestial mechanics (70F15) Orbital mechanics (70M20) Stability problems in rigid body dynamics (70E50) Motion of the gyroscope (70E05)

Related Items (2)

Null geodesics and QNMs in the field of regular black holes ⋮ Effects of the rotation of the central black hole in a disk galaxy model

Cites Work

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• Newtonian and pseudo-Newtonian Hill problem
• Determining Lyapunov exponents from a time series
• Lyapunov characteristic exponents for smooth dynamical systems and for Hamiltonian systems; a method for computing all of them. I: Theory
• Physics of black holes. Transl. from the Russian by V. I. Kisin and E. M. Yankovsky
• Central stable/unstable manifolds and the destruction of KAM tori in the planar Hill problem
• Gravitational Field of a Spinning Mass as an Example of Algebraically Special Metrics
• Solar System Dynamics
• Ergodic theory of chaos and strange attractors
• Chaos
• Non-integrability of Hill's lunar problem.

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