Homographic solutions in the planar <Emphasis Type="Italic">n</Emphasis> + 1 body problem with quasi-homogeneous potentials期刊界 All Journals 搜尽天下杂志传播学术成果专业期刊搜索期刊信息化学术搜索

Homographic solutions in the planar n + 1 body problem with quasi-homogeneous potentials

Authors:	Mercedes Arribas Antonio Elipe Tilemahos Kalvouridis Manuel Palacios

Affiliation:	(1) Grupo de Mecánica Espacial and Instituto Universitario de Matemáticas y Aplicaciones, Universidad de Zaragoza, Zaragoza, 50009, Spain;(2) Department of Mechanics, National Technical University of Athens, Athens, 15773, Greece

Abstract:	We prove that for generalized forces which are function of the mutual distance, the ring n + 1 configuration is a central configuration. Besides, we show that it is a homographic solution. We apply the above results to quasi-homogeneous potentials.

Keywords:	Ring n-body problem Central configurations Homographic solutions
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