A limit of nonplanar 5-body central configurations is nonplanar

Autor:	Albouy, Alain, Fernandes, Antonio Carlos
Rok vydání:	2023
Předmět:	Mathematical Physics 70F10
Zdroj:	Arch. Rational Mech. Anal. (2024) 248:12
Druh dokumentu:	Working Paper
DOI:	10.1007/s00205-023-01949-7
Popis:	Moeckel (1990), Moeckel and Sim\'o (1995) proved that, while continuously changing the masses, a 946-body planar central configuration bifurcates into a spatial central configuration. We show that this kind of bifurcation does not occur with 5 bodies. Question 17 in the list Albouy & al (2012) is thus answered negatively. Comment: 17 pages, 5 figures, 2 footnotes
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2308.12901 Zobrazit plný text záznamu View this record from Arxiv