On the Theories of Bodily Tides.The Models and the Physics.

Details On the Theories of Bodily Tides.The Models and the Physics. On the Theories of Bodily Tides.The Models and the Physics.

Jun 2006

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2006dda....37.1606e&link_type=abstract

American Astronomical Society, DDA meeting #37, #16.06

Astronomy and Astrophysics

Astronomy

Scientific paper

The MacDonald-Kaula-Gerstenkorn theory of bodily tides assumes constancy of the geometric lag angle δ, while the Singer-Mignard theory asserts constancy of the time lag Δt. Each of these two models is tacitly based on a particular law of the geometric lag's dependence upon the main frequency χ of the tidal flexure. In the theory of Gerstenkorn (1955), MacDonald (1964), and Kaula (1964) δ χ0 while in the theory of Singer (1968) and Mignard (1979, 1980) δ χ1.
The actual dependence of the lag on the frequency is expected to be more complicated. Its functional form will be determined by the rheology of the planet. Each particular functional form of this dependence will unambiguously fix the form of the frequency dependence of the tidal quality factor, Q(χ). Since at present we know the shape of the function Q(χ), it enables us to reverse our line of reasoning and to single out the appropriate actual dependence δ(χ). This dependence entails considerable alterations in the theory of tides.

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