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Theoretical estimation of the earth's and moon's tidal decelerations

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Исхо¶rt;я uз сохрaненuя моменma колuчесmвa ¶rt;вuженuя сuсмеmы Земля-Лунa, ¶rt;aеmся mеореmuческuŭ выво¶rt; резонaнсного nерuо¶rt;a врaщенuя Землu u орбumaльного ¶rt;вuженuя Луны u оmнощенuя nрuлuвного уменьщенuя угловоŭ скоросmu врaщенuя Землu u сре¶rt;него ¶rt;вuженuя Луны. Срaвнuвaя mеореmuческое сооmнощенuе с нaблю¶rt;aемымu знaченuямu, ¶rt;елaеmся зaключенuе, чmо ¶rt;олжно uмеmь месmо вековое уменьщенuе нauбольщегоглaвного моменma uнеруuu ЗемлudC⊕/dt=−3,2×1029 кгм2 (сmолеmuе)−1.

Summary

On the basis of the conservation of the Earth-Moon angular momentum, the period of the Earth's resonance rotation and Moon's revolution and the relation between tidal deceleration of the Earth's rotation and of the Moon's mean motion are derived theoretically. The comparison of the theoretical relation with the observed values indicates that a mechanism should exist which decreases the maximum principal moment of the Earth's inertia bydC⊕/dt=−3.2×1029 kg· . m2 cy−1.

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Authors and Affiliations

  1. Astronomical Institute, Czechosl. Acad. Sci., Prague

    Milan Burša

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  1. Milan Burša
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Burša, M. Theoretical estimation of the earth's and moon's tidal decelerations. Stud Geophys Geod 30, 113–117 (1986). https://doi.org/10.1007/BF01644371

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  • DOI: https://doi.org/10.1007/BF01644371

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