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Excerpt from Geostrophic Vortices on a Sphere A thin spherical layer of an incompressible, inviscid fluid which is held on the surface of a rotating ball by gravitation can be taken for some purposes as an approximation to the Earth's atmosphere. The analysis of the two dimensional vertical motion in such a layer should be useful for the understanding of certain observed meteorological phenomena. In a previous report a linearized analysis was presented under the assumption that the outer surface of the layer is a sphere always concentric to the ball representing the Earth. This report presents a linear analysis in which the outer surface of the fluid layer is allowed to be free but the Coriolis force is assumed to be independent of latitude. This assumption de fines a motion which can be regarded as a first approximation to the actual motion even if the fluid layer is not confined to a narrow band bounded by two circles of latitude. About the Publisher Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.com This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works.

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