The tides in oceans on a rotating globe. Part III

• Published in: Proceedings of the Royal Society of London. Series A, Containing Papers of a Mathematical and Physical Character
• Format: Article in Journal/Newspaper
• Language: English
• Published: The Royal Society 1929
• Subjects: Southern Ocean
• Online Access: http://dx.doi.org/10.1098/rspa.1929.0198; https://royalsocietypublishing.org/doi/pdf/10.1098/rspa.1929.0198

In Part I of this series of papers a method was described by which solutions of the general dynamical equations of the tides could be obtained which were appropriate to an ocean on a rotating globe bounded by vertical cliffs along two meridians of longitude. The method was applied in that paper to a specially chosen ocean which had a law of depth that introduced a simplification into the calculations. It is of considerable importance to apply the same method to an ocean of uniform depth. The present paper therefore gives the results for an ocean bounded by two meridians 60° apart, and having a uniform depth of 12,700 feet. Such an ocean would fairly represent the Atlantic Ocean if it were completely land-locked instead of being quite open to the Southern Ocean at one end and partially open at the other. The particular tide considered in this paper is the lunar semi-diurnal tide (M 2 ). The numerical solution is fairly complete and from the results it is possible to ascertain the character of the co-tidal lines and the values of the tide ranges corresponding to this tidal component in an ideal ocean of the form chosen.