We used selected data from the NASA altimeter on TOPEX/POSEIDON to cal
culate differences in range measured by the C and K-u-band altimeters
when the satellite overflew 5 to 15 m waves late at night. The range d
ifference is due to free electrons in the ionosphere and to errors in
sea-state bias. For the selected data the ionospheric influence on K-u
range is less than 2 cm. Any difference in range over short horizonta
l distances is due only to a small along-track variability of the iono
sphere and to errors in calculating the differential sea-state bias. W
e find that there is a barely detectable error in the bias in the geop
hysical data records. The wave-induced error in the ionospheric correc
tion is less than 0.2% of significant wave height. The equivalent erro
r in differential range is less than 1% of wave height. Errors in the
differential sea-state bias calculations appear to be small even for e
xtreme wave heights that greatly exceed the conditions on which the bi
as is based. The results indicate that the influence of waves on the i
onospheric correction can be ignored. The results also improved our co
nfidence in the sea-state bias correction used for calculating the geo
physical data records. Any error in the correction must influence K-u
and C-band ranges almost equally.