X. Chang, T. Ouyang and D. Yan, Linear stability of the criss-cross orbit in the equal-mass three-body problem, Discrete Contin. Dyn. Syst. 36 (2016), no. 11, 5971–5991. CrossrefWeb of ScienceGoogle Scholar
K. Chen, Keplerian action functional, convex optimization, and an application to the four-body problem, preprint (2013).
K.-C. Chen, Existence and minimizing properties of retrograde orbits to the three-body problem with various choices of masses, Ann. of Math. (2) 167 (2008), no. 2, 325–348. CrossrefWeb of ScienceGoogle Scholar
A. Chenciner, Action minimizing solutions of the Newtonian N-body problem: From homology to symmetry, Proceedings of the International Congress of Mathematicians. Vol. III (Beijing 2002), Higher Education Press, Beijing (2002), 279–294. Google Scholar
About the article
Published Online: 2018-03-08
Published in Print: 2018-11-01
Funding Source: National Natural Science Foundation of China
Award identifier / Grant number: 11131004
Award identifier / Grant number: 11671215
Award identifier / Grant number: 11432001
The first author was partially supported by the Ph.D. Candidate Research Innovation Fund of Nankai University and NSFC (no. 11131004 and 11671215). The second author was supported by NSFC (no. 11432001) and the China Scholarship Council.