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Theoretical and Applied Mechanics, 2016, Volume 43, Issue 2, Pages 229–253
DOI: https://doi.org/10.2298/TAM160126010B (Mi tam15) 		 
On the entire and finite valued solutions of the three-body problem

Alexandr Belyaev

Mechanics and Mathematics Department, Novosibirsk State University, Novosibirsk, Russia
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DOI: https://doi.org/10.2298/TAM160126010B
Abstract: 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.
Keywords: three-body problem, factorization of the flow, first integral, singular points, analytic functions, entire functions, compact holomorphic manifold, holomorphic foliation.
Received: 26.01.2016
Revised: 20.09.2016
Bibliographic databases:
Document Type: Article
MSC: Primary 55R55, 34M30, 74H10; Secondary 34M45, 74H05
Language: English
Citation: Alexandr Belyaev, “On the entire and finite valued solutions of the three-body problem”, Theor. Appl. Mech., 43:2 (2016), 229–253
Citation in format AMSBIB
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\by Alexandr~Belyaev
\paper On the entire and finite valued solutions of the three-body problem
\jour Theor. Appl. Mech.
\yr 2016
\vol 43
\issue 2
\pages 229--253
\mathnet{http://mi.mathnet.ru/tam15}
\crossref{https://doi.org/10.2298/TAM160126010B}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000391372600005}
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