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Laplace's tidal equations – an application of solutions for negative depth
Author(s) -
Corby G. A.
Publication year - 1967
Publication title -
quarterly journal of the royal meteorological society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.744
H-Index - 143
eISSN - 1477-870X
pISSN - 0035-9009
DOI - 10.1002/qj.49709339709
Subject(s) - laplace transform , flow (mathematics) , rest (music) , zero (linguistics) , mathematical analysis , mathematics , geology , mechanics , physics , geometry , linguistics , philosophy , acoustics
It is shown that solutions of Laplace's tidal equations in the presence of a non‐zero zonal flow may be obtained from the usual solutions for perturbations about a state of rest relative to the Earth, provided one uses an appropriate modification of the equivalent depth. Typically the modification leads one to the solutions which for zero zonal flow would be applicable to negative depths.