Lagrange-Pizzetti theorem for the quasihomogeneous N-body problem

Autor:	Victor Paraschiv
Rok vydání:	2012
Předmět:	Planar n-body problem Mathematical analysis Computer Science::Computation and Language (Computational Linguistics and Natural Language and Speech Processing) Statistical and Nonlinear Physics Of the form Mathematical Physics Celestial mechanics Mathematics Homothetic transformation
Zdroj:	Journal of Mathematical Physics. 53:062901
ISSN:	1089-7658 0022-2488
Popis:	We consider the N-body problem given by quasihomogeneous force functions of the form C1/r a + C2/r b (C1, C2, a, b positive constants and a ⩽ b) and address the fundamentals of homographic solutions. Generalizing techniques of the classical N-body problem, we prove that if the homographic solution is not flat, then it is homothetic; if the homographic solution is flat, then it is planar. Using them, we prove an analogue of the Lagrange-Pizzetti theorem for quasihomogeneous potentials.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::4c914c9f4c07f8a7dedd8466f734cfd8 https://doi.org/10.1063/1.4723817 Zobrazit plný text záznamu