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SPHERICAL HARMONIC ANALYSIS OF ERROR PROPAGATION BETWEEN MEAN GRAVITY ANOMALY AND SEA SURFACE HEIGHT DATA

The error propagation formulae between sea surface height and mean gravity anomaly are established by using spherical harmonic method. With these formulae, the accuracies of different resolution of mean gravity anomaly are computed. The computation results show that the spherical harmonic method has the same effects as the traditional inverse Stokes method and could be a reference mean for satellite altimetry accuracy design. The point that should be concerned is that the truncated error will increase quickly with the resolution falling, especially for the resolution smaller than 5′,so the accuracies of mean gravity anomaly could be estimated worse than the actual results.