90 



TIDES AND BENCH MARKS 



The harmonic constants given below were obtained from tlie hourly heights 

 of the sea at Nassau, for the year beginning July 1, 1903, by a process essen- 

 tially similar to that outlined by Professor George. H. Darwin, in the report of 

 the British Association for the Advancement of Science, for the year 1883. 

 The amplitudes (//) or semiranges of the components, and their epochs (k) 

 or component-tidal intervals expressed in degrees, as given in the table, have 

 been corrected by a process for eliminating the small residual effect of one com- 

 ponent upon another. 



HARMONIC CONSTANTS. 

 From one year of hourly heights beginning July 1, 1903. 



Symbol. 



Ji 



Ki 



K2 



Lo 



Ml 



Mi 



Ms 



Mi 



Me 



N2 



2N 



Oi 



00 



Pi 



Oi 

 20 

 Ra 



Si 



St 

 Si 



T2 



A3 



"i 



Pi 

 Sa 

 Ssa 



Name of Component. 



Speed per 

 solar hour. 



Smaller lunar elliptic diurnal 15..58.")4433 



Luni-solar diurnal 1.5.0410686 



Luni-solar semidiurnal .30.0821372 



Smaller lunar elliptic semidiurnal .... 29..i2847SS 



Smaller lunar elliptic diurnal 14.4920521 



Principal lunar series 28.9841042 



43.4761563 



57.9682084 



86.9523126 



Larger lunar elliptic semidiurnal 28.4397296 



Lunar elliptic semidiurnal, second order 27.8953548 



Lunar diurnal 13.9430356 



Lunar diurnal, second order 16.1391016 



Solar diurnal 14.9589314 



Larger lunar elliptic diurnal 13.3986G09 



Lunar elliptic diurnal, second order... 12.8542862 



Smaller solar elliptic 30.0410686 



Principal solar series 15.0000000 



90.0000000 



60.0000000 



30.0000000 



Larger solar elliptic 29.9589314 



Smaller lunar evectional 29.4556254 



Variational 27.9682084 



Larger lunar evectional 28.5125830 



Larger lunar evectional diurnal 13.4715144 



Solar annual 0.0410686 



Solar semidiurnal 0.0821872 



Amplitude. 

 H 

 Feet. 

 0.0169 

 0.2848 

 0.0654 

 0.0459 

 0.0144 

 1.2422 

 0.0067 

 0.0171 

 0.0059 

 0.3026 

 0.0402 

 0.2138 

 0.0092 

 0.0872 

 0.0377 

 0.0056 

 0.0017 

 0.0104 

 0.0034 

 0.0044 

 0.2101 

 0.0124 

 0.0087 

 0.0282 

 0.0675 

 0.0081 

 0.3115 

 0.1013 



Epoch, 



118.73 

 120.50 

 246.10 

 246.59 

 101.97 

 213.3f 

 153.73 



65.31 

 279.15 

 190.54 

 167.70 

 124.06 

 116.94 

 121.59 

 118.28 

 127.59 

 237.36 

 171.96 

 104.04 

 318.81 

 237.36 

 237.36 

 224.51 

 202.73 

 189.28 

 125.59 

 143.90 



32.88 



The mean lunitidal intervals may be obtained from the harmonic constants 

 by the equations 



HWI = 0.034.6 (Ml—v) (1) 



LWI= 0.0345 (Ml — w) + 6.21 h. (2) 



where HWI =^ mean high water lunitidal interval 



" LWI = " low " " " 



and V and w are such that 



