Geodesic
On the solutions of the simplified system of nonlinear differential equations in the motion of four particles in a plane
Problemy fiziki, matematiki i tehniki, no. 3 (2014), pp. 80-84

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A system describing the motion of four bodies under the action of gravity is considered. By elementary algebraic manipulations a simple system consisting of non-linear differential equations, each of which has a second order is selected. For each simplified system there are sets of constants of interparticle interaction, in which the general solution is meromorphic.
Keywords: movement of four bodies, Painlevé property, meromorphic function.
Mots-clés : constant interaction 
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     author = {A. T. Sazonova},
     title = {On the solutions of the simplified system of nonlinear differential equations in the motion of four particles in a plane},
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     url = {http://geodesic.mathdoc.fr/item/PFMT_2014_3_a14/}
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A. T. Sazonova. On the solutions of the simplified system of nonlinear differential equations in the motion of four particles in a plane. Problemy fiziki, matematiki i tehniki, no. 3 (2014), pp. 80-84. http://geodesic.mathdoc.fr/item/PFMT_2014_3_a14/