Five Algorithms for the Earth Tide Terms in the Force Model of NSWC Computer Programs for Satellite Geodesy.
NAVAL SURFACE WEAPONS CENTER DAHLGREN LAB VA
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The most recent versions of five computer algorithms which jointly specify the gravitational action by which the tidal dislocation of the earths masses perturbs satellite motion are presented. The first computer routine formulates the perturbing acceleration which the semidiurnal lunar component of the atmospheric tide bulge exerts on the orbit of an aritificial earth satellite. The second routine augments the first by spelling out the combined effect of solar heating and solar mass attraction. The third algorithm accounts for the ocean tide. Only the semidiurnal lunar tide is presently considered, but the algorithm sets the pattern for introducing various other spectral components of the fluid tide, if desired. The algorithm starts from a table for the global tide amplitudes and phase angles. It subsequently approximates the gravitational potential exterior to the earth caused by the tidal bulge by that of a system of point masses located on the ocean surface. The fourth tide routine is optional it may be used in place of the third algorithm if one wishes to base the tide potential on a functionalization of the tidal sea surface. Finally, there is a computer routine for the Newtonian attraction caused by the tide bulge of the solid earth. Both the lunar and solar tide components are included. The tidal properties are assumed to be functions of latitude. Accordingly, Love coefficients are featured that are zonal harmonic expansions of latitude.
- Celestial Mechanics
- Computer Programming and Software
- Spacecraft Trajectories and Reentry