Methods for the computation of geoid undulations from potential coefficients |
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Authors: | R H Rapp |
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Institution: | (1) Department of Geodetic Science, The Ohio State University, Columbus, Ohio |
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Abstract: | The undulations of the geoid may be computed from spherical harmonic potential coefficients of the earth’s gravitational field.
This paper examines three procedures that reflect various points of view on how this computation should be carried out. One
method requires only the flattening of a reference ellipsoid to be defined while the other two methods require a complete
definition of the parameters of the ellipsoid. It was found that the various methods give essentially the same undulations
provided that correct parameters are chosen for the reference ellipsoid. A discussion is given on how these parameters are
chosen and numerical results are reported using recent potential coefficient determinations. |
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