Degree variances of the Earth's potential,topography and its isostatic compensation |
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Authors: | Richard H Rapp |
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Institution: | (1) The Department of Geodetic Science and Surveying, The Ohio State University, 43210 Columbus, Ohio |
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Abstract: | A spherical harmonic expansion of the earth's gravitational potential and equivalent rock topography to degree and order 180
is described. The potential implied by the topography considered as uncompensated and with isostatic compensation has been
computed. Good agreement with the observed potential field is found when the depth of compensation in the Airy theory is assumed
to be 50 km. At the higher degrees the correlation coefficient between the potential expansion and the equivalent rock topography
is about 0.5.
The Lachapelle equations for the topographic isostatic potential were tested using 1ox1o equivalent rock topography. The degree variances agree at the lower degrees but at degree 36 the Lachapelle results using
5o data underestimate the potential degree variances by about one-third. |
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Keywords: | |
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