I. On the tides of the Arctic Seas. Part VII. Tides of port Kennedy, in Bellot Strait. (Final discussion.)

• Published in: Philosophical Transactions of the Royal Society of London
• Format: Article in Journal/Newspaper
• Language: English
• Published: The Royal Society 1878
• Subjects: Arctic; Bellot Strait; Port Kennedy
• Online Access: http://dx.doi.org/10.1098/rstl.1878.0001; https://royalsocietypublishing.org/doi/pdf/10.1098/rstl.1878.0001

In Part VI. I have discussed McClintock’s observations on the Tides of Port Kennedy, using only the Heights and Times of High and Low Water, as I wished to follow the same method in comparing all the Tidal observations in the Arctic Seas. Although I adopted this method for the purpose of comparison, I was well aware that I had not exhausted all the information at my disposal, for McClintock’s observations were made hourly during 23 days, and I used of these observations only those in the neighbourhood of H. W. and L. W. of Diurnal and Semidiurnal Tides. I shall now discuss the observations, with the aid of Fourier’s Theorem, so that all the observations made at every hour of each day shall enter into the constants determined for that day. If F denote the height of the tide, observed at every hour of the day, we have by Fourier’s Theorem F = A 0 + A 1 cos s + A 2 cos2 s + A 3 cos3 s + &c. B 1 sin s + B 2 sin2 s + B 3 sin 3 s + &c .............................(1) where s denotes the sun’s hour angle, and where the coefficients A 0 , A 1 , B 1 , A 2 , B 2 , &c., are found from the following equations, in which F 0 , F 1 , F 2 , &c., denote the values of F at the hours 0, 1, 2, &c., 23.