Lagrange-Pizzetti theorem for the quasihomogeneous N-body problem
Autor: | Victor Paraschiv |
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Rok vydání: | 2012 |
Předmět: | |
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 |
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