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
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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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 -
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