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

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

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Problemy Fiziki, Matematiki i Tekhniki (Problems of Physics, Mathematics and Technics), 2016, Issue 4(29), Pages 27–30 (Mi pfmt466)

PHYSICS

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

G. Yu. Tyumenkov^a, A. Yu. Pesenko^b, D. A. Bogdanovich^c

^a F. Sсorina Gomel State University
^b Belarusian State University of Informatics and Radioelectronics
^c Gomel City Lyceum №1

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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 Mathematica’s possibilities of computer simulation were used.

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

Received: 20.10.2016

Document Type: Article

UDC: 521.1; 524.3

Language: Russian

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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Citing articles in Google Scholar: Russian citations, English citations
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