2008/11/21 by A. F. Steklain, A.F. Steklain, Patricio S. Letelier +1 · 17 citations
Mathematics · Physics and Astronomy · #Angular momentum #Astro and Planetary Science #Bounded function #Classical mechanics #Fractal #Inertial frame of reference #Lyapunov exponent #Lyapunov stability #Mathematical analysis #Mathematical physics #Mathematics #Newtonian fluid #Nonlinear system #Physics #Quantum chaos and dynamical systems #Quantum mechanics #Spin (aerodynamics) #Spinning #Spins #Stellar, planetary, and galactic studies #gr-qc
paper · pdf · doi:10.1016/j.physleta.2008.11.022
published in Physics Letters A 373(2), 188-194 (Elsevier BV) · 14 pages, 12 figures. Accepted for publication on Physics Letters A
openalex publication_date 2008/11/21 · arxiv created 2008/11/25 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
A pseudo-Newtonian Hill problem based on a potential proposed by Artemova et al. [Astroph. J. 461 (1996) 565] is presented. This potential reproduces some of the general relativistic effects due to the spin angular momentum of the bodies, like the dragging of inertial frames. Poincare maps, Lyapunov exponents and fractal escape techniques are employed to study the stability of bounded and unbounded orbits for different spins of the central body.