September  2010, 26(3): 805-822. doi: 10.3934/dcds.2010.26.805

Singularities in the gravitational attraction problem due to massive bodies

1. 

Departamento de Matemática, Universidade Federal de Sergipe-Campus Itabaiana, Av. Vereador Olímpio Grande, s/n, Sergipe, Brazil

2. 

Departamento de Matemática, Facultad de Ciencias, Universidade del Bio Bio, Av. Collao 1202, Concepción, Chile

Received  April 2009 Revised  September 2009 Published  December 2009

The problem of attraction of an infinitesimal particle by the gravitational force induced by a massive body of finite dimension on a plane is considered. We study the singularity problem of the solutions associated to this problem in the case when the massive body has the form of a straight segment, annulus disk or disk with constant linear mass density.
Citation: Angelo Alberti, Claudio Vidal. Singularities in the gravitational attraction problem due to massive bodies. Discrete & Continuous Dynamical Systems - A, 2010, 26 (3) : 805-822. doi: 10.3934/dcds.2010.26.805
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