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Tidal friction. Secular variations of the inclination and eccentricity of the Moon's orbit

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Резюме

Пересмamрuвaюmся вычuсленuя вековых uзмененuŭ нaклонa u эксценmрuцumеma лунноŭ орбumы, вызвaнных nрuлuвнымu сuлaмu. Кроме mо

о nрове¶rt;енa оценкa влuянuя сжamuя Землu; эmо влuянuе сосmaвляеm оm 10−5 ¶rt;о 10−6 знaченuя ¶rt;ля шaрообрaзноŭ Землu u сле¶rt;овamельно nренебрежuмо. Резульmamы хорошо со

лaсуюmся с вычuсленuямu Кaулa [7], в оmлuчuе оm резульmamов МaкДонaль¶rt;a [8],

¶rt;е рaзнuцa нa nоря¶rt;ок в uзмененuu эксценmрuцumеma очевu¶rt;но вызвaнa оnечamкоŭ. Нaконец ¶rt;aно решенuе ¶rt;ля рaзных знaченuŭ фaкmорa ¶rt;uссunaцuu.

Summary

The computation of the secular variation of the inclination and eccentricity of the Moon's orbit due to tidal forces is revised. Also the effect of the Earth's ellipticity, which amounts to 10−6 to 10−5 of the value for the spherical earth, is estimated and found to be negligible. The results agree well with the computations of Kaula [7], as opposed to MacDonald's results [8] which display an order-of-magnitude difference in the variation of the eccentricity, apparently due to a printing error. Finally, solutions are presented for various values of the dissipation factor.

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Authors and Affiliations

  1. Research Institute of Geodesy, Topography and Cartography, Geodetic Observatory Pecný, Ondřejov

    Jan Kostelecký

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  1. Jan Kostelecký
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Kostelecký, J. Tidal friction. Secular variations of the inclination and eccentricity of the Moon's orbit. Stud Geophys Geod 29, 319–325 (1985). https://doi.org/10.1007/BF01641622

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  • DOI: https://doi.org/10.1007/BF01641622

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