A Limit Case of the “Ring Problem”: The Planar Circular Restricted $1+n$ Body Problem

DOI10.1137/090771582zbMath1282.70024OpenAlexW2032321815MaRDI QIDQ3577824

Josep Maria Cors, Esther Barrabés, Glen Richard Hall

Publication date: 26 July 2010

Published in: SIAM Journal on Applied Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/090771582

zbMATH Keywords

KAM theorem\(N\)-body problemcelestial mechanicsplanetary rings

Mathematics Subject Classification ID

Three-body problems (70F07) Perturbations of finite-dimensional Hamiltonian systems, normal forms, small divisors, KAM theory, Arnol'd diffusion (37J40) Celestial mechanics (70F15) Dynamical systems in classical and celestial mechanics (37N05) (n)-body problems (70F10) Nearly integrable Hamiltonian systems, KAM theory (70H08) The dynamics of infinite particle systems (70F45)

Related Items (2)

BIFURCATIONS FROM PLANAR TO THREE-DIMENSIONAL PERIODIC ORBITS IN THE RING PROBLEM OF N BODIES WITH RADIATING CENTRAL PRIMARY ⋮ Numerical exploration of the limit ring problem

This page was built for publication: A Limit Case of the “Ring Problem”: The Planar Circular Restricted $1+n$ Body Problem