Free time minimizers for the three-body problem

Author:

Moeckel Richard,Montgomery Richard,Sánchez Morgado Héctor

Funder

UC-Mexus

National Science Foundation

Publisher

Springer Science and Business Media LLC

Subject

Space and Planetary Science,Astronomy and Astrophysics,Applied Mathematics,Computational Mathematics,Mathematical Physics,Modeling and Simulation

Reference34 articles.

1. Barutello, V., Secchi, S.: Morse index properties of colliding solutions to the N-body problem. Ann. I. H. Poincare AN 25, 539–565 (2008)

2. Barutello, V., Hu, Xijun, Portaluri, A., Terracini, S.: An index theory for asymptotic motions under singular potentials (2017). arXiv:1705.01291

3. Chazy, J.: Sur certaines trajectoires du probleme des n corps. Bull. Astron. 35, 321–389 (1918)

4. Chazy, J.: Sur l’allure du mouvement du probléme des trois corps quand le temps croît indéfinement. Ann. Sci. l’E.N.S., 3 série, tome 39, 22–130 (1922)

5. Chenciner, A.: Action minimizing solutions of the Newtonian n-body problem : from homology to symmetry. In: Proceedings of the International Congress of Mathematics, vol. III (Beijing, 2002). Higner Ed. Press, pp. 279–294 (2002)

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