III. DYNAMICAL THEORY OF TIDES (cont.)

14. Diurnal Tide

Let us first consider the diurnal tides. We have e = E sin θ cos θ, k = l, and then υ₀ = – E sin θ cos θ. Hence by (28) and (25)

and therefore Applying the same theorem a second time,

It appears, therefore, that the tide is "inverted," giving low water where the equilibrium tide gives high water. If q = 0, so that the ocean is of uniform depth, the tide vanishes.






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