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ЖУРНАЛЫ // Theoretical and Applied Mechanics // Архив

Theor. Appl. Mech., 2016, том 43, выпуск 2, страницы 229–253 (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

Аннотация: 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.

Ключевые слова: three-body problem, factorization of the flow, first integral, singular points, analytic functions, entire functions, compact holomorphic manifold, holomorphic foliation.

MSC: Primary 55R55, 34M30, 74H10; Secondary 34M45, 74H05

Поступила в редакцию: 26.01.2016
Исправленный вариант: 20.09.2016

Язык публикации: английский

DOI: 10.2298/TAM160126010B



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