The effect of singularities of the potential energy on the integrability of mechanical systems (Q1072732)

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scientific article; zbMATH DE number 3943093
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The effect of singularities of the potential energy on the integrability of mechanical systems
scientific article; zbMATH DE number 3943093

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    The effect of singularities of the potential energy on the integrability of mechanical systems (English)
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    1985
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    The effect of potential energy singularities on the existence of analytic first integrals of mechanical systems with two degrees of freedom is investigated. Applications to the restricted many-body problem are presented.
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    singular point of potential energy of Newtonian type
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    potential energy singularities
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    existence of analytic first integrals
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    mechanical systems with two degrees of freedom
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    restricted many-body problem
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