Geodesic
Simulation of periodic orbits for three-body systems with newtonian gravitational interaction
Problemy fiziki, matematiki i tehniki, no. 4 (2016), pp. 27-30

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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, action functional, periodic orbit, Fourier series, computer simulation.
Mots-clés : gravitational interaction 
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     author = {G. Yu. Tyumenkov and A. Yu. Pesenko and D. A. Bogdanovich},
     title = {Simulation of periodic orbits for three-body systems with newtonian gravitational interaction},
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     pages = {27--30},
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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. Problemy fiziki, matematiki i tehniki, no. 4 (2016), pp. 27-30. http://geodesic.mathdoc.fr/item/PFMT_2016_4_a3/