Spatial Double Choreographies of the Newtonian 2n-Body Problem-Reference-Cited by-同舟云学术

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Spatial Double Choreographies of the Newtonian 2n-Body Problem

Published:2018-01-19 Issue:1 Volume:229 Page:187-229
ISSN:0003-9527
Container-title:Archive for Rational Mechanics and Analysis
language:en
Short-container-title:Arch Rational Mech Anal

Author:

Yu Guowei

Publisher

Springer Science and Business Media LLC

Subject

Mechanical Engineering,Mathematics (miscellaneous),Analysis

Link

http://link.springer.com/article/10.1007/s00205-018-1216-6/fulltext.html

Reference33 articles.

1. Barutello, V.; Ferrario, D.L.; Terracini, S.: Symmetry groups of the planar three-body problem and action-minimizing trajectories. Arch. Ration. Mech. Anal. 190(2), 189–226 (2008)

2. Barutello, V.; Terracini, S.: Action minimizing orbits in the $$n$$ n -body problem with simple choreography constraint. Nonlinearity 17(6), 2015–2039 (2004)

3. Chen, K.-C.: Removing collision singularities from action minimizers for the $$N$$ N -body problem with free boundaries. Arch. Ration. Mech. Anal. 181(2), 311–331 (2006)

4. Chen, K.-C.: Existence and minimizing properties of retrograde orbits to the three-body problem with various choices of masses. Ann. Math. (2), 167(2), 325–348, 2008

5. Chen, K.-C.: Keplerian action functional, convex optimization, and an application to the four-body problem. 2013

Cited by 2 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Connecting planar linear chains in the spatial N-body problem;Annales de l'Institut Henri Poincaré C, Analyse non linéaire;2021-08

2. A Symmetric Spatial Periodic Orbit in the 2n-Body Problem;Journal of Dynamics and Differential Equations;2020-07-13

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