Evolution and stability of the theoretically predicted families of periodic orbits in theN-body ring problem

DOI10.1051/0004-6361:20040262zbMath1108.70008OpenAlexW2102785257WikidataQ68849375 ScholiaQ68849375MaRDI QIDQ3022272

Antonis D. Pinotsis

Publication date: 23 June 2005

Published in: Astronomy & Astrophysics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1051/0004-6361:20040262

zbMATH Keywords

existenceJacobi integralHénon's stability indices

Mathematics Subject Classification ID

(n)-body problems (70F10)

Related Items

BIFURCATIONS FROM PLANAR TO THREE-DIMENSIONAL PERIODIC ORBITS IN THE RING PROBLEM OF N BODIES WITH RADIATING CENTRAL PRIMARY, Global bifurcation of planar and spatial periodic solutions in the restricted \(n\)-body problem, PAINTING CHAOS: A GALLERY OF SENSITIVITY PLOTS OF CLASSICAL PROBLEMS, Regions of a satellite's motion in a Maxwell's ring system of \(N\) bodies, Particle dynamics in a Maxwell's ring-type configuration with a radiating central primary, Periodic motions of a small body in the Newtonian field of a regular polygonal configuration of \(\nu +1\) bodies, Qualitative analysis of the \((N+1)\)-body ring problem, Periodic motions and their stability in a \(N=\nu+1\)-body regular polygonal configuration, Particle motions in Maxwell's ring dynamical systems, Radiation effect on a particle's periodic orbits in a regular polygon configuration of \(N\) bodies