We estimate the degree 2 long-wavelength gravitational variations C-21, S-2
1, and C-20 using Earth rotational changes, caused by mass redistribution a
nd movement within the Earth system. These rotation changes are accurately
measured by space geodetic techniques. Wind and oceanic current effects are
removed from the Earth rotation series using atmospheric and oceanic circu
lation data-assimilating models. The results are compared with LAGEOS Satel
lite Laser Ranging (SLR) determinations and also with geophysical contribut
ions estimated from atmospheric surface pressure, continental water storage
, and nonsteric sea level changes. Our conjecture is that using Earth rotat
ional changes to infer long-wavelength gravitational variations has the pot
ential to be more accurate than satellite-based techniques in some cases. C
onsistent with this, we find that C-21 and S-21 variations from this study
are in better agreement with geophysical observations than LAGEOS SLR deter
minations of C-21 and S-21 However, the Earth rotation-derived estimate of
C-20 variation is probably less accurate than the LAGEOS-derived result owi
ng to the large atmospheric wind contribution to length-of-day variation wh
ich must first be removed and the natural sensitivity of LAGEOS to C-20 cha
nges via precession of the satellite node.