The effect of the earth's rotation on the propagation of ocean waves over long distances
نویسنده
چکیده
A~tract--The theory of group velocity is generalized to waves on curved surfaces, and applied to calculating the effect of the earth's rotation on the trajectory and wave vector of a wave packet whose waves have lengths much less than the radius of the earth and periods much less than one day. A geometrical description of the perturbed trajectory is given. If /2 is the angular velocity of the earth, g gravity, h the ocean depth, and k and oJ the wave number and frequency, the effects are of the order of t2 (h/g)~ and independent of co for shallow water waves; they are of the order of t2/o~ for deep water waves; and they are largest for waves with kh ~ 1"878973.
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