Earth tide algorithms for the OMNIS computer program system

Physics

Scientific paper

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Algorithms, Atmospheric Tides, Computer Programs, Earth Gravitation, Earth Planetary Structure, Earth Tides, Moon, Oceans, Satellite Perturbation, Sun, Acceleration (Physics), Air, Displacement, Earth Orbits, Geodesy, Geopotential, Mass, Mathematical Models, Periodic Variations

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Scientific paper

Abstract

Five computer algorithms are presented which jointly specify the gravitational action by which the tidal redistributions of the Earth's masses perturb satellite motion. Covered are the perturbing effects of the lunar and solar atmospheric tide bulges as well as those of the ocean tides and the solid Earth tide. The lunar air tide algorithm is restricted to the dominant, semidiurnal tide component. The atmospheric tide routine associated with the Sun combines the effects of solar heating and solar mass attraction. It includes the semidiurnal and diurnal terms. The model for the ocean tide contains the semidiurnal lunar term and 10 additional tide constituents. It also features the effect on the solid Earth tide of the hydrostatic loading by the ocean tide. The algorithm for the solid Earth tide is based on an abbreviated form of the Wahr model outlined in the final version of the MERIT Standards Document. It includes a variety of spectral modes associated with the long-periodic and the semidiurnal tides. The fifth computer routine is a simplified version of the fourth and is provided for use during computer program verification. All computer algorithms express the tidal modifications of the perturbing acceleration experienced by the satellite in terms of corrections to the expansion coefficients of the Earth's gravitational potential. Time enters the model by means of closed-form expressions for the astronomical fundamental arguments adapted from the MERIT Standards nutational model.

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