Some periodic orbits of general three body problem with vanishing angular momentum
Russian journal of nonlinear dynamics, Tome 8 (2012) no. 2, pp. 377-389
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The periodic solutions of general three body problem are found. The solutions under discussion are extension of well-known figure-eight orbit. Found orbits are described on the Euclide plane and on form sphere.
Keywords:
three body problem, periodic orbits, figure-eight, celestial mechanics.
@article{ND_2012_8_2_a11,
author = {V. B. Titov},
title = {Some periodic orbits of general three body problem with vanishing angular momentum},
journal = {Russian journal of nonlinear dynamics},
pages = {377--389},
publisher = {mathdoc},
volume = {8},
number = {2},
year = {2012},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ND_2012_8_2_a11/}
}
TY - JOUR AU - V. B. Titov TI - Some periodic orbits of general three body problem with vanishing angular momentum JO - Russian journal of nonlinear dynamics PY - 2012 SP - 377 EP - 389 VL - 8 IS - 2 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/ND_2012_8_2_a11/ LA - ru ID - ND_2012_8_2_a11 ER -
V. B. Titov. Some periodic orbits of general three body problem with vanishing angular momentum. Russian journal of nonlinear dynamics, Tome 8 (2012) no. 2, pp. 377-389. http://geodesic.mathdoc.fr/item/ND_2012_8_2_a11/