E W Schwiderski, On charting global ocean tides, Reviews of Geophysics and Space Physics, 18, 243-268, 1980.
E W Schwiderski, Ocean tides: a hydrodynamic interpolation model, Marine Geodesy, 3, 219-255, 1980.
These angular momentum data are computed from the well-known ocean tide model of Schwiderski (1980). Schwiderski's model is based on an assimilation-type technique in which the harmonic constants from over 2000 tide-gauge stations were assimilation into a hydrodynamic model. He called the method `hydrodynamic interpolation;' it is essentially an early form of nudging. Only the M2 constituent is given, because apparently the current velocities for the other constituents are no longer extant. The M2 currents used here are based on a dataset obtained from T A Herring (MIT), who obtained it from other personnel at Woods Hole Oceanographic. (It is in fact not certain that these currents correspond exactly to Schwiderski's final version of his model. Nonetheless they do appear to be fairly accurate, comparable to the accuracy of his tidal heights.)
The angular momentum data here (for which the proper citation should be this web page) were computed by R Ray (NASA). Similar calculations were published by Herring and Dong (JGR, 1994), but they are partially incorrect, probably owing to a misinterpretation of Schwiderski's phase convention for his northward currents. That convention was non-standard, to say the least.
Amplitude and Greenwich phase lag are given for M2. The (x,y,z) Cartesian components of angular momentum refer to the (Greenwich, 90°E, North) axes. Momentum components are decomposed into those due to tidal oceanic heights, which perturb the inertia tensor, and tidal currents, which effect relative momentum exchanges between ocean and mantle.
Units of momentum amplitude are 1025 kg m2/s. Units of phase are degrees.
X Y Z
Tide amp pha amp pha amp pha
M2 Heights 0.505 24.3 0.368 310.2 0.529 85.5
M2 Currents 0.782 266.7 1.545 173.7 1.556 323.1