On the entire and finite valued solutions of the three-body problem
Theoretical and applied mechanics, Tome 43 (2016) no. 2, p. 229
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A full list of entire and finite valued solutions of the three body problem in the form of functions, depending on a time variable, is established. All the entire and finite valued solutions are among the solutions of Euler and Lagrange.
Classification :
55R55, 34M30, 74H10 34M45, 74H05
Keywords: three-body problem, factorization of the flow, first integral, singular points, analytic functions, entire functions, compact holomorphic manifold, holomorphic foliation
Keywords: three-body problem, factorization of the flow, first integral, singular points, analytic functions, entire functions, compact holomorphic manifold, holomorphic foliation
@article{10_2298_TAM160126010B,
author = {Alexandr Belyaev},
title = {On the entire and finite valued solutions of the three-body problem},
journal = {Theoretical and applied mechanics},
pages = {229 },
year = {2016},
volume = {43},
number = {2},
doi = {10.2298/TAM160126010B},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.2298/TAM160126010B/}
}
TY - JOUR AU - Alexandr Belyaev TI - On the entire and finite valued solutions of the three-body problem JO - Theoretical and applied mechanics PY - 2016 SP - 229 VL - 43 IS - 2 UR - http://geodesic.mathdoc.fr/articles/10.2298/TAM160126010B/ DO - 10.2298/TAM160126010B LA - en ID - 10_2298_TAM160126010B ER -
Alexandr Belyaev. On the entire and finite valued solutions of the three-body problem. Theoretical and applied mechanics, Tome 43 (2016) no. 2, p. 229 . doi: 10.2298/TAM160126010B
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