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Time Tag Error

Though the geophysical data records for the three satellites generally account for the precise timing of the altimeter measurements within a small fraction of a millisecond, we still see significant errors (Fig. 3b vs Fig. 3c) in this estimate for Geosat, less so for Ers1, and almost undetectable from altimetry for T/P. A constant time-tag bias tex2html_wrap_inline690 (lagging or leading the stated time in the ephemeris) has a characteristic twice per revolution signature in the altimeter height due mostly to the dominant oblateness of the sea surface (but also from the oblate geopotential's effect on the orbit). We follow Wagner and Klokocnik (1994) and write for this effect on the sea height:

equation287

noting in the fuctionality for tex2html_wrap_inline692 only those parameters which are different for different orbits; where tex2html_wrap_inline690 is the time-tag error (correct altimeter time - tagged time on the data record), I,a and n are the orbit's inclination, semimajor axis and (nodal) mean motion, tex2html_wrap_inline700 and f are the Earth's mean equatorial radius and polar flattening, tex2html_wrap_inline704 is the 2nd degree zonal geopotential coefficient (-0.001082.63), tex2html_wrap_inline632 is the geocentric latitude and the tex2html_wrap_inline708 applies for ascending passes and the tex2html_wrap_inline710 for descending.

Thus for SSCs we have:

equation295

and for the 4 DSC types:

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equation321