Abstract
AbstractThe aim of this paper is to present a new, analytical, method for computing the exact number of relative equilibria in the planar, circular, restricted 4-body problem of celestial mechanics. The new approach allows for a very efficient computer-aided proof, and opens a potential pathway to proving harder instances of the n-body problem.
Publisher
Springer Science and Business Media LLC
Reference24 articles.
1. Albouy, A., Kaloshin, V.: Finiteness of central configurations of five bodies in the plane. Ann. Math. 176, 535–588 (2012)
2. Arenstorf, R.F.: Central configurations of four bodies with one inferior mass. Celest. Mech. 28, 9–15 (1982)
3. Barros, J., Leandro, E.: The set of degenerate central configurations in the planar restricted four-body problem. SIAM J. Math. Anal. 43, 634–661 (2011)
4. Barros, J., Leandro, E.: Bifurcations and enumeration of classes of relative equilibria in the planar restricted four-body problem. SIAM J. Math. Anal. 46, 03 (2014)
5. Euler, L.: De motu rectilineo trium corporum se mutuo attrahentium. Novi Comm. Acad. Sci. Imp. Petrop. 11, 144–151 (1767)
Cited by
1 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