On the accelerations of the moon and sun, the constant of gravitation, and the origin of mountains

Details On the accelerations of the moon and sun, the constant of gravitation, and the origin of mountains On the accelerations of the moon and sun, the constant of gravitation, and the origin of mountains

Apr 1978

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1978m%26p....18..223l&link_type=abstract

Moon and the Planets, vol. 18, Apr. 1978, p. 223-240.

Physics

5

Body Kinematics, Earth Rotation, Earth-Moon System, Gravitational Constant, Orography, Angular Acceleration, Angular Momentum, Angular Velocity, Earth Planetary Structure, Gravitational Effects, Lunar Tides, Mountains, Tides

Scientific paper

On the assumption of a constant value for the gravitational constant G, the lunar and solar tidal couples and the rate of change of angular velocity of the earth are recalculated on the basis of the improved values for the apparent accelerations of the moon and sun arrived at by Muller and Stephenson (1977). These new values are then used to derive general dynamical equations with a changing moment of inertia and changing G connecting the apparent accelerations to the lunar and solar couples. The effect of a changing G is considered, and a value of (dG/dt)/G = -3 times 10 to the -11th power per yr can be reconciled only weakly with the improved accelerations, especially for the case of linear friction. For quadratic friction the situation is more favorable. The new accelerations, however, are best reconciled with a nonchanging G, and certainly cannot be reconciled with a value of (dG/dt)/G = -6 times 10 to the -11th power per yr.

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