New Periodic Solutions for Newtonian n-Body Problems with Dihedral Group Symmetry and Topological Constraints

Author:

Wang Zhiqiang,Zhang Shiqing

Publisher

Springer Science and Business Media LLC

Subject

Mechanical Engineering,Mathematics (miscellaneous),Analysis

Reference22 articles.

1. Abramowitz, M., Stegun, I.: Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables. Dover, New York, 1964. doi: 10.1119/1.15378

2. Albouy, A.: Lectures on the two body problem. In: Carbral, H., Diacu, F. (eds.) Classical and Celestial Mechanics (The Recife Lectures). Princeton University Press, Princeton, 2002

3. Chen K.C.: Existence and minimizing properties of retrograde orbits to the three-body problem with various choices of masses. Ann. Math. 167, 325–348 (2008). doi: 10.4007/annals.2008.167.325

4. Chenciner, A.: Action minimizing solutions of the n-body problem: from homology to symmetry. In:Proceedings of the ICM, Beijing, 2002

5. Chenciner, A.: Symmetries and “simple” solutions of the classical n-body problem. In: ICMP03, 2003. doi: 10.1142/9789812704016_0002

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