Simulation of periodic orbits for three-body systems with newtonian gravitational interaction
G. Yu. Tyumenkova, A. Yu. Pesenkob, D. A. Bogdanovichc
a F. Sñorina Gomel State University
b Belarusian State University of Informatics and Radioelectronics
c Gomel City Lyceum ¹1
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.
three-body system, gravitational interaction, action functional, periodic orbit, Fourier series, computer simulation.
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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
\by G.~Yu.~Tyumenkov, A.~Yu.~Pesenko, D.~A.~Bogdanovich
\paper Simulation of periodic orbits for three-body systems with newtonian gravitational interaction
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