Statistics – Computation
Scientific paper
Apr 1985
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1985cemec..35..345m&link_type=abstract
Celestial Mechanics (ISSN 0008-8714), vol. 35, April 1985, p. 345-355.
Statistics
Computation
2
Celestial Navigation, Geopotential, Inertial Navigation, Spherical Harmonics, Trajectory Analysis, Airborne/Spaceborne Computers, Autonomy, Floating Point Arithmetic, Geoids, Gravity Anomalies
Scientific paper
The Clenshaw-sums method developed by Deprit (1979) to sum the Legendre series for the Fourier coefficients of the geopotential, its gradient, and the Hessian in the computation of large-order geopotential models is extended to problems employing normalized spherical harmonics and coefficients. The algorithm constructed (GEOMAP) is shown to avoid the problems of floating-point overload and thus to be applicable to onboard trajectory determinations for autonomous satellites or to inertial-navigation-system gravity-compensation calculations, both using small computers with limited memory capacity. Two contour maps of the undulations of the geoid are plotted (with a 2-m contour interval and a 3/16-deg grid) using a mainframe-computer version of GEOMAP and the 180th-order model of Rapp (1981).
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