Regular Polygon Central Configuration of the Restricted 1 + N-Body Problem

Autor: Jian Chen, Peng Bi, Mingfang Yang
Jazyk: angličtina
Rok vydání: 2023
Předmět:
Zdroj: Universe, Vol 9, Iss 6, p 254 (2023)
Druh dokumentu: article
ISSN: 2218-1997
DOI: 10.3390/universe9060254
Popis: We consider the central configurations of the 1+N-body problem, where N bodies are infinitesimal and the remaining one body is dominant. For regular polygon central configurations, we prove that the masses of all the infinitesimal bodies are equal when N is odd and the masses of the alternate infinitesimal bodies must be equal when N is even. Moreover, in the case of N being even, we present the relationship of the mass parameters between two consecutive infinitesimal bodies.
Databáze: Directory of Open Access Journals
Nepřihlášeným uživatelům se plný text nezobrazuje