Open AccessThe tides in oceans on a rotating globe.—Part II
Author(s) -
George Ridsdale Goldsbrough
Publication year - 1929
Publication title -
proceedings of the royal society of london series a containing papers of a mathematical and physical character
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.814
H-Index - 135
eISSN - 2053-9150
pISSN - 0950-1207
DOI - 10.1098/rspa.1929.0016
Subject(s) - hypergeometric function , diagram , structural basin , geology , enhanced data rates for gsm evolution , mode (computer interface) , geometry , function (biology) , line (geometry) , extension (predicate logic) , geodesy , mathematics , mathematical analysis , paleontology , engineering , computer science , telecommunications , statistics , evolutionary biology , biology , programming language , operating system
1. The method used in the previous paper finds a ready application to certain cases of tidal waves in flat rotating seas. The first part of this paper discusses the case of a semi-circular basin in which the law of depth ish 0 (1—r 2 /a 2 ) so that the bottom shelves from the centre to the circumferential edge. Complete results are given for a certain depth and the positions of the rotating nodal line, corresponding to the lowest normal mode, are shown in a diagram. The solution is expressed in terms of a certain type of hypergeometric function. It is further shown that, by an extension of the same method, it is possible to solve the case of a sectorial basin of any angle with the same law of depth.
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