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JOURNALS // Problemy Fiziki, Matematiki i Tekhniki (Problems of Physics, Mathematics and Technics) // Archive

PFMT, 2015 Issue 3(24), Pages 66–69 (Mi pfmt394)

MATHEMATICS

On the results of the study of simplified systems in the problem of motion of four bodies in a plane

A. T. Sazonova

Y. Kupala Grodno State University, Grodno, Belarus

Abstract: The system describing the motion of four bodies in a plane is considered. The method of the small parameter of a simplified system consisting of non-linear differential equations, each of which has a second order is determined. For these systems, a set of interparticle interaction constants in which all its solutions of the system are meromorphic functions is specified.

Keywords: motion of four bodies in a plane, interaction constant, simple system, meromorphic function.

UDC: 517.925

Received: 19.06.2015



© Steklov Math. Inst. of RAS, 2026