The earth-moon tidal force function

Details The earth-moon tidal force function The earth-moon tidal force function

Feb 1983

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1983m%26p....28...49b&link_type=abstract

Moon and the Planets (ISSN 0165-0807), vol. 28, Feb. 1983, p. 49-53.

Mathematics

2

Earth-Moon System, Functions (Mathematics), Geopotential, Lunar Gravitation, Earth Tides, Ellipsoids, Gravitational Fields, Lunar Tides, Nutation, Precession

Scientific paper

Melchior (1973) has demonstrated that the procession-nutation torque due to the moon, as exerted on earth, may be calculated from the tidal potential. The present investigation is concerned with an outline for a general solution, taking into account a consideration of the earth and the moon as wholly rigid bodies. It is pointed out that no information regarding the density distribution inside the bodies is needed for the exact solution. An employment of the sets of Stokes constants (harmonic coefficients) in the external geopotential and selenopotential developments is found to be sufficient. The effective solution obtained for the problem is based on the concept of a 'tidal force function of the earth-moon system'.

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