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NonGlobal Ocean Tides
Suppose that the surface of the Earth is covered by an ocean of uniform depth
that extends from
to
, and from
to
, where
. For consistency with the previous analysis, we must imagine that
the remaining surface is covered by a frozen (i.e.,
) ocean of uniform depth
.
The motion of the ocean under the action of the tide generating potential is governed by
the Laplace tidal equations, (12.153)(12.155), which are written
where

(12.184) 
The finite extent of the ocean in the
direction introduces the additional constraint

(12.185) 
into the problem.
Next: Useful Lemma
Up: Terrestrial Ocean Tides
Previous: Global Ocean Tides
Richard Fitzpatrick
20160331