Generic occurrence of rings in rotating systems

DOI10.1016/S0375-9601(00)00500-4zbMath1050.70512arXivnlin/0001018MaRDI QIDQ1579385

Thomas H. Seligman, Luis Benet

Publication date: 6 September 2000

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

Full work available at URL: https://arxiv.org/abs/nlin/0001018

zbMATH Keywords

periodic orbitstrapped particlesinitial conditionsplanetary ringsrotating disksnoninteracting particlesgeneric ring occurrencegeneric saddle-center bifurcationrotating scattering systemsstable phase space islandstwo-disk billiard

Mathematics Subject Classification ID

Bifurcations and instability for nonlinear problems in mechanics (70K50) Collisions in celestial mechanics, regularization (70F16)

Related Items (2)

Strands and braids in narrow planetary rings: a scattering system approach ⋮ Phase-space volume of regions of trapped motion: Multiple ring components and arcs

Cites Work

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• Chaotic scattering in the restricted three-body problem. II: Small mass parameters
• Periodic and chaotic trajectories of the second species for the \(n\)-centre problem
• Linear stability in billiards with potential

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