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Singularities in the gravitational attraction problem due to massive bodies

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  • 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.
    Mathematics Subject Classification: Primary: 70F16, 37N05; Secondary: 70F15.


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