On the satellite altimeter crossover problem |
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Authors: | H van Gysen R Coleman |
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Institution: | (1) Department of Surveying and Mapping, University of Natal, King George V Avenue, Durban. 4001. South Africa, ZA;(2) Department of Surveying and Spatial Information Science, University of Tasmania, GPO Box 252-76, Hobart. 7001. TAS. Australia, AU;(3) CSIRO Division of Oceanography, GPO Box 1538, Hobart. 7001. TAS. Australia, AU |
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Abstract: | Mean sea surface heights and residual radial orbit errors are estimated simultaneously in a single global crossover adjustment
of multiple cycles of satellite altimetry data. The rank defect inherent in the estimation problem is explicitly identified
and treated in various ways to give solutions that minimise (in norm) either orbit errors or mean sea surface heights. The
rank defect gives rise to geographically correlated orbit error, consisting of those components of the orbit error or those
components of the map of sea surface heights which fall within the nullspace of the estimation problem and which cannot be
distinguished as orbit error or ocean signal. We show that, in the case of Topex/Poseidon data, the geographically correlated error consists largely of long-wavelength and long-period sea surface fluctuations, which
in the past has often been assigned as orbit error.
Received 11 September 1995; Accepted 2 September 1996 |
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