The seasonal variations of the Earth's rotation are still not sufficie
ntly well explained in terms of their causes. Quantitative estimates o
f the variability of the oscillations in length of day (LOD) and atmos
pheric angular momentum (AAM) have been applied very seldom. Therefore
, the problem is re-examined. In particular, the axial AAM component l
abelled chi(3) is related to changes in LOD. For this reason, the foll
owing series of data at one-day intervals is used in this study: (a) L
OD from the series EOP (IERS) C04 from 1962 to 1996, (b) chi(3) (W), c
hi(3) (P) and chi(3) (P + IB) from the series AAM (NMC) from 1976 to 1
995 and (c) chi(3) (W), chi(3) (P) and chi(3) (P + IB) from the series
AAM (JMA) from 1983 to 1995. Here, chi(3) (W) is the wind term, chi(3
) (P) the pressure term and chi(3) (P + IB) the pressure term with inv
erted-barometer response. First, the seasonal oscillations are separat
ed from the various time-series by filtering. To illustrate their char
acteristics, the amplitudes, periods and phases of the annual and semi
-annual oscillations are then derived and presented in terms of their
temporal variability. The discrepancies between the magnitudes of the
annual and semi-annual components of LOD without the tidal effects Sa
and without Ssa and of chi(3) (W), chi(3) (W) + chi(3) (P) and chi(3)
(W) + chi(3) (P + IB) show to what extent uncertainties are present in
the data, which portions of AAM originate from chi(3) (W), chi(3) (P)
and chi(3) (P + IB), and whether another excitation source contribute
s to seasonal LOD variations. At the annual frequency, the wind term f
rom the upper stratosphere that is neglected is evidently responsible
for the imbalance between the LOD and AAM data. However, at the semi-a
nnual frequency, the discrepancy is not fully explained by the missing
stratospheric wind term, and a contribution from the global surface w
ater redistribution is likely.