On the Fixed Homogeneous Circle Problem-Reference-Cited by-同舟云学术

On the Fixed Homogeneous Circle Problem

Published:2007-02-01 Issue:1 Volume:7 Page:47-75
ISSN:2169-0375
Container-title:Advanced Nonlinear Studies
language:en
Short-container-title:

Author:

Azevêdo C.¹,Ontaneda P.¹,Cabral H. E.²

Affiliation:

1. Department of Mathematical Sciences Binghamton University, NY 13902

2. Departamento de Matemática Universidade Federal de Pernambuco Recife, PE, 50670-901, Brazil

Abstract

Abstract We give some results about the dynamics of a particle moving in Euclidean three-space under the influence of the gravitational force induced by a fixed homogeneous circle. Our main results concern (1) singularities and (2) the dynamics in the plane that contains the circle. The study presented here is purely analytic.

Publisher

Walter de Gruyter GmbH

Subject

General Mathematics,Statistical and Nonlinear Physics

Link

https://www.degruyter.com/document/doi/10.1515/ans-2007-0103/pdf

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