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Sundman's inequalities in N-body problems and their applications (Q2711482)

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scientific article
Language Label Description Also known as
English
Sundman's inequalities in N-body problems and their applications
scientific article

    Statements

    author
    Shiqing Zhang
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    publication date
    17 January 2002
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    zbMATH Keywords
    Sundman's inequalities
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    uniformly rotating plane circular solutions
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    straight line solutions
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    \(N\)-body problem
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    period
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    energy
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    angular momentum
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    momentum of inertia
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    title
    Sundman's inequalities in N-body problems and their applications (English)
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    review text
    The Sundman's inequalities are analyzed for uniformly rotating plane circular solutions and for straight line solutions of \(N\)-body problem. The author obtains necessary and sufficient conditions which convert Sundman's inequalities into equalities, and derives relationships between the period and energy and angular momentum and momentum of inertia.
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    Identifiers

    zbMATH DE Number
    1590986
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