From Brake to Syzygy
- 21 March 2012
- journal article
- research article
- Published by Springer Science and Business Media LLC in Archive for Rational Mechanics and Analysis
- Vol. 204 (3), 1009-1060
- https://doi.org/10.1007/s00205-012-0502-y
Abstract
No abstract availableThis publication has 15 references indexed in Scilit:
- The zero angular momentum, three-body problem: All but one solution has syzygiesErgodic Theory and Dynamical Systems, 2007
- Action minimizing periodic orbits in the Newtonian 𝑛-body problemContemporary Mathematics, 2002
- A Remarkable Periodic Solution of the Three-Body Problem in the Case of Equal MassesAnnals of Mathematics, 2000
- TheN-body problem, the braid group, and action-minimizing periodic solutionsNonlinearity, 1998
- Braids in classical dynamicsPhysical Review Letters, 1993
- A note on the existence of invariant punctured tori in the planar circular restricted three-body problemErgodic Theory and Dynamical Systems, 1988
- Homoclinic orbits and oscillation for the planar three-body problemJournal of Differential Equations, 1984
- Parabolic orbits in the planar three body problemJournal of Differential Equations, 1984
- Triple collision in the collinear three-body problemInventiones Mathematicae, 1974
- A stable manifold theorem for degenerate fixed points with applications to celestial mechanicsJournal of Differential Equations, 1973