Newtonian and pseudo-Newtonian Hill problem

DOI10.1016/j.physleta.2005.12.029zbMath1187.70032arXivastro-ph/0603740OpenAlexW2093457425MaRDI QIDQ973628

A. F. Steklain, Patricio S. Letelier

Publication date: 2 June 2010

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

Full work available at URL: https://arxiv.org/abs/astro-ph/0603740

zbMATH Keywords

chaosfractalsHill problempseudo-Newtonian gravity

Mathematics Subject Classification ID

Celestial mechanics (70F15) General questions in astronomy and astrophysics (85A04)

Related Items (3)

Pseudo-Newtonian planar circular restricted 3-body problem ⋮ Effects of the rotation of the central black hole in a disk galaxy model ⋮ Stability of orbits around a spinning body in a pseudo-Newtonian Hill problem

Cites Work

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• 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
• Central stable/unstable manifolds and the destruction of KAM tori in the planar Hill problem
• Solar System Dynamics
• Chaos in pseudo-Newtonian black holes with halos
• Chaos
• Non-integrability of Hill's lunar problem.

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