A. T. Sazonova, “On the results of the study of simplified systems in the problem of motion of four bodies in a plane”, PFMT, 2015, no. 3(24), 66

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

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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.

Received: 19.06.2015

Document Type: Article

UDC: 517.925

Language: Russian

Citation: A. T. Sazonova, “On the results of the study of simplified systems in the problem of motion of four bodies in a plane”, PFMT, 2015, no. 3(24), 66–69

Citation in format AMSBIB

\Bibitem{Saz15}

\by A.~T.~Sazonova

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

\jour PFMT

\yr 2015

\issue 3(24)

\pages 66--69

\mathnet{http://mi.mathnet.ru/pfmt394}

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https://www.mathnet.ru/eng/pfmt/y2015/i3/p66

Citing articles in Google Scholar: Russian citations, English citations
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Abstract page:	112
Full-text PDF :	49
References:	29

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