The geoid spectrum from altimetry

Preliminary estimates of the global spectrum of the sea surface and geoid are made using altimeter data from the GEOS 3 and Skylab spacecraft. In all, the equivalent of about seven revolutions of data has served from the 'global' estimates. It is found that the power spectrum of the sea surface generally follows the expected values from Kaula's rule applied to the geoid. Analysis of overlapping altimetry arcs (and oceanographic data) reveals that the surface spectrum is dominated by the geoid to about 500 cycles, but the sea state departures are significant starting at about 250 cycles. At less than 500 cycles (40 km half-wavelength) the total power in the marine geoid may be negligible (much less than 20 cm).