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PFMT, 2016, Issue 4(29), Pages 27–30 (Mi pfmt466)  

PHYSICS

Simulation of periodic orbits for three-body systems with newtonian gravitational interaction

G. Yu. Tyumenkova, A. Yu. Pesenkob, D. A. Bogdanovichc

a F. Sorina Gomel State University
b Belarusian State University of Informatics and Radioelectronics
c Gomel City Lyceum 1

Abstract: In the framework of the general three-body problem of celestial mechanics dynamic equations for non-relativistic three-body system with Newtonian potential are solved and new periodic orbits are simulated. Principle of least action, Fourier analysis and Mathematicas possibilities of computer simulation were used.

Keywords: three-body system, gravitational interaction, action functional, periodic orbit, Fourier series, computer simulation.

Full text: PDF file (423 kB)
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UDC: 521.1; 524.3
Received: 20.10.2016

Citation: G. Yu. Tyumenkov, A. Yu. Pesenko, D. A. Bogdanovich, “Simulation of periodic orbits for three-body systems with newtonian gravitational interaction”, PFMT, 2016, no. 4(29), 27–30

Citation in format AMSBIB
\Bibitem{TyuPesBog16}
\by G.~Yu.~Tyumenkov, A.~Yu.~Pesenko, D.~A.~Bogdanovich
\paper Simulation of periodic orbits for three-body systems with newtonian gravitational interaction
\jour PFMT
\yr 2016
\issue 4(29)
\pages 27--30
\mathnet{http://mi.mathnet.ru/pfmt466}


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