Present-day secular variations in the zonal harmonics of earth's geopotential

Physics

Scientific paper

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Geopotential, Planetary Evolution, Planetary Gravitation, Secular Variations, Zonal Harmonics, Earth Mantle, Glaciology, Ocean Models, Viscosity

Scientific paper

The mathematical formulation required for predicting secular variation in the geopotential is developed for the case of a spherically symmetric, self-gravitating, viscoelastic earth model and an arbitrary surface load which can include a gravitational self-consistent ocean loading component. The theory is specifically applied to predict the present-day secular variation in the zonal harmonics of the geopotenial arising from the surface mass loading associated with the late Pleistocene glacial cycles. A procedure is outlined in which predictions of the present-day geopotential signal due to the late Pleistocene glacial cycles may be used to derive bounds on the net present-day mass flux from the Antarctic and Greenland ice sheets to the local oceans.

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