The existence and stability of steady configurations in the problem of the motion of a wire triangle and a point mass under the mutual attraction*

Autor:	Vasily I. Nikonov
Rok vydání:	2015
Předmět:	Point particle Plane (geometry) Applied Mathematics Mechanical Engineering Motion (geometry) Geometry Stability (probability) Mechanics of Materials Modeling and Simulation Vertex (curve) Particle Sum of angles of a triangle Bifurcation Mathematics
Zdroj:	Journal of Applied Mathematics and Mechanics. 79:229-236
ISSN:	0021-8928
DOI:	10.1016/j.jappmathmech.2015.09.003
Popis:	The plane problem of the motion of a triangle, the mass of which is distributed along its sides and a point mass under the mutual attraction is investigated. The steady rotating configurations of such a system are found and the conditions for their stability and bifurcation are investigated. Configurations for which the particle is sufficiently removed from the triangle and located on the axis of symmetry opposite a vertex are found to be stable.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::5add258ba7e2092b98135584e8b57f70 https://doi.org/10.1016/j.jappmathmech.2015.09.003 Zobrazit plný text záznamu Full Text from ScienceDirect