Numerical estimates for stability domains of Lagrangian solutions to the restricted three-body problem
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 47 (2007) no. 9, pp. 1538-1549
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The geometric parameters of stability domains of Lagrangian solutions to the classical restricted three-body problem are quantitatively estimated. It is shown that these domains are ellipsoid-like plane figures stretched along the tangent to the circle that passes through the Lagrangian triangle solutions. A heuristic algorithm is proposed for determining the maximum size of these domains of attraction.
@article{ZVMMF_2007_47_9_a8,
author = {E. A. Grebenikov and D. Kozak-Skovorodkina},
title = {Numerical estimates for stability domains of {Lagrangian} solutions to the restricted three-body problem},
journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
pages = {1538--1549},
publisher = {mathdoc},
volume = {47},
number = {9},
year = {2007},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZVMMF_2007_47_9_a8/}
}
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E. A. Grebenikov; D. Kozak-Skovorodkina. Numerical estimates for stability domains of Lagrangian solutions to the restricted three-body problem. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 47 (2007) no. 9, pp. 1538-1549. http://geodesic.mathdoc.fr/item/ZVMMF_2007_47_9_a8/