Classification of Periodic Orbits in the Four- and Five-Body Problems-Reference-Cited by-同舟云学术

Classification of Periodic Orbits in the Four- and Five-Body Problems

Published:2004-05 Issue:1 Volume:1017 Page:408-421
ISSN:0077-8923
Container-title:Annals of the New York Academy of Sciences
language:en
Short-container-title:

Author:

BROUCKE ROGER A.

Publisher

Wiley

Subject

History and Philosophy of Science,General Biochemistry, Genetics and Molecular Biology,General Neuroscience

Link

http://onlinelibrary.wiley.com/wol1/doi/10.1196/annals.1311.023/fullpdf

Reference4 articles.

1. A new periodic solution of the three-body problem in the case of equal masses;Chenciner;Ann. Math.,2000

2. 3Chenciner, A., J. Gerver, R. Montgomery & C. Simo. 2003. Simple choreographic motions of bodies. In Geometry, Mechanics and Dynamics. Springer-Verlag.

3. Dynamical properties of the figure-eight solution of the three-body problem;Simo;Contemp. Math.,2002

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1. A Restricted Four-body Problem for the Figure-eight Choreography;Regular and Chaotic Dynamics;2021-05

2. Action minimizers under topological constraints in the planar equal-mass four-body problem;Journal of Differential Equations;2018-04

3. A continuum of periodic solutions to the planar four-body problem with two pairs of equal masses;Journal of Differential Equations;2018-04

4. New periodic orbits in the planar equal-mass five-body problem;Communications in Nonlinear Science and Numerical Simulation;2017-07

5. Linear stability of double–double orbits in the parallelogram four-body problem;Journal of Mathematical Analysis and Applications;2016-01