Central configuration in the planar n + 1 body problem with generalized forces

• Autores: T. Kalvouridis, Antonio Elipe Sánchez , Mercedes Arribas Jiménez
• Localización: Monografías de la Real Academia de Ciencias Exactas, Físicas, Químicas y Naturales de Zaragoza, ISSN 1132-6360, Nº. 28, 2006 (Ejemplar dedicado a: Actas de las VIII Jornadas de Mecánica Celeste / coord. por Antonio Elipe Sánchez , J. A. Docobo Durántez ), págs. 1-8
• Idioma: inglés
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• Resumen

  • In this paper we consider a polygonal configuration for the planar (n + 1) body problem. When a newtonian field is considered, is well know that we have a central configuration. By introducting general functions that depends on distance, we prove that central configuration is preserved not only for a newtonian field but for any field wich depends on the inverse of distances. The Manev-type and the Schwarzschild-type fields are particular cases of our study.