Some counterexamples to a generalized Saari’s conjecture

DOI10.1090/S0002-9947-05-03697-4zbMath1075.70012WikidataQ122908507 ScholiaQ122908507MaRDI QIDQ5694981

Gareth E. Roberts

Publication date: 6 October 2005

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

inverse square potentialfive-body problempower-law potential

Mathematics Subject Classification ID

Celestial mechanics (70F15) (n)-body problems (70F10)

Related Items (9)

Saari's conjecture is true for generic vector fields ⋮ Saari's conjecture for the restricted three-body problem ⋮ Constant locked inertia tensor trajectories for simple mechanical systems with symmetry ⋮ Hyperbolic shirts fit a 4-body problem ⋮ On the \(n\)-body problem on surfaces of revolution ⋮ Saari's homographic conjecture of the three-body problem ⋮ On the sectional curvature along central configurations ⋮ Saari's Conjecture for Elliptical Motions and Minimizing Solutions of the N-body Problem ⋮ Relative equilibria for the generalized rigid body

Cites Work

• Mathematical problems for the next century
• A continuum of relative equilibria in the five-body problem
• On central configurations
• Relative equilibria of the four-body problem
• On the role and the properties ofn body central configurations
• TheN-body problem, the braid group, and action-minimizing periodic solutions
• Conservative Dynamical Systems Involving Strong Forces
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Some counterexamples to a generalized Saari’s conjecture