An atlas of Rapp's 180-th order geopotential.

Details An atlas of Rapp's 180-th order geopotential. An atlas of Rapp's 180-th order geopotential.

Aug 1986

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1986asdy.conf..677m&link_type=abstract

Astrodynamics 1985, p. 677 - 696

Astronomy and Astrophysics

Astronomy

Geopotential:Maps, Geopotential:Models

Scientific paper

Deprit's 1979 approach to the summation of the spherical harmonic expansion of the geopotential has been modified to spherical components and normalized Legendre polynomials. An algorithm has been developed which produces ten fields at the users option: the undulations of the geoid, three anomalous components of the gravity vector, or six components of the Hessian of the geopotential (gravity gradient). The algorithm is stable to high orders in single precision and does not treat the polar regions as a special case. Eleven contour maps of components of the anomalous geopotential on the surface of the ellipsoid are presented to validate the algorithm.

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