Comments on the summations of spherical harmonics in the geopotential evaluation theories of Deprit and others

Statistics – Computation

Scientific paper

Rate now

  [ 0.00 ] – not rated yet Voters 0   Comments 0

Details

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).

No associations

LandOfFree

Say what you really think

Search LandOfFree.com for scientists and scientific papers. Rate them and share your experience with other people.

Rating

Comments on the summations of spherical harmonics in the geopotential evaluation theories of Deprit and others does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Comments on the summations of spherical harmonics in the geopotential evaluation theories of Deprit and others, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Comments on the summations of spherical harmonics in the geopotential evaluation theories of Deprit and others will most certainly appreciate the feedback.

Rate now

     

Profile ID: LFWR-SCP-O-1288909

  Search
All data on this website is collected from public sources. Our data reflects the most accurate information available at the time of publication.