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A coordinate form for the Sundman surfaces in the general three-body problem

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Abstract

A new coordinate form for the Sundman surfaces is obtained. Singular points of the surfaces are determined and constructed. The Sundman stability is investigated. The Sundman stability of the motion of the Moon in the general three-body problem of the Sun-Earth-Moon is established.

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Original Russian Text © L.G. Luk’yanov, 2011, published in Astronomicheskii Zhurnal, 2011, Vol. 88, No. 8, pp. 806–816.

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Luk’yanov, L.G. A coordinate form for the Sundman surfaces in the general three-body problem. Astron. Rep. 55, 742–752 (2011). https://doi.org/10.1134/S1063772911080051

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  • DOI: https://doi.org/10.1134/S1063772911080051

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