Tidal dissipation by solid friction and the resulting orbital evolution

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書誌事項

公開日
1964-11
権利情報
  • http://onlinelibrary.wiley.com/termsAndConditions#vor
DOI
  • 10.1029/rg002i004p00661
公開者
American Geophysical Union (AGU)

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説明

<jats:p>Dissipation of tidal energy in the earth's mantle and the moon was calculated assuming a dissipation factor 1/<jats:italic>Q</jats:italic> constant throughout both bodies. In the mantle the dissipation varies from about 2 × 10<jats:sup>−6</jats:sup>/<jats:italic>Q</jats:italic> erg cm<jats:sup>−3</jats:sup> sec<jats:sup>−1</jats:sup> near the pole at the bottom of the mantle to about 0.02 × 10<jats:sup>−6</jats:sup>/<jats:italic>Q</jats:italic> erg cm<jats:sup>−3</jats:sup> sec<jats:sup>−1</jats:sup> near the surface. The effects of compressibility and inhomogeneity are less than 3%. In a homogeneous moon the dissipation varies from a maximum of about 0.03 × 10<jats:sup>−6</jats:sup>/<jats:italic>Q</jats:italic> erg cm<jats:sup>−3</jats:sup> sec<jats:sup>−1</jats:sup> near the center to a minimum of about 0.4 × 10<jats:sup>−9</jats:sup>/<jats:italic>Q</jats:italic> erg cm<jats:sup>−3</jats:sup> sec<jats:sup>−1</jats:sup> at the surface. A theory of orbital evolution is developed in which the disturbing function is expressed in a Fourier series with respect to time, so that the effects of variation of dissipation factor 1/<jats:italic>Q</jats:italic>, or lag angle ϵ, with amplitude and frequency can be examined. Comparisons with results of other authors are made.</jats:p>

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