Singular continuation of planar central configurations with clusters of bodies

Autor:	Kevin A. O’Neil
Rok vydání:	2014
Předmět:	Continuation Classical mechanics Planar Singularity Analytic continuation Statistical and Nonlinear Physics Point (geometry) Gravitational interaction Algebraic number Condensed Matter Physics Celestial mechanics Mathematics
Zdroj:	Physica D: Nonlinear Phenomena. 269:120-125
ISSN:	0167-2789
DOI:	10.1016/j.physd.2013.12.001
Popis:	Planar central configurations of point masses that have one or more clusters of bodies are created by analytic continuation. The singularity of the gravitational interaction is removed from the continuation equations by algebraic means. The continuation splits a single body into several, and the initial mass of the single body can be nonzero. Necessary conditions are derived for these continuations that may be useful in addressing the question of finiteness of central configurations.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::f6b0fa6c0a1b4eb2ee09fca340c6e79f https://doi.org/10.1016/j.physd.2013.12.001 Zobrazit plný text záznamu Full Text from ScienceDirect