﻿Dr. J. R. Wilton on Ripples. 



695 



The corresponding values of x and y are (" Waves/' 

 p. 392) given by 



c*- tf='086(f— 1-5 sin f + -44 sin 2f- '075 sin 3f 



+ •016 sin 4f + -0017 sin 5f), 

 y = -086(1-5 cos f--44 cos 2f +'075 cos 3? 



-•016cos4f--0017oos5f). 



Corresponding values of x and y are given in Table I., 

 and the ripple is drawn in fig. 1. 



Table I. 

 Ripple of wave-length '54 cm. 



1. 



ct—x. 



y- 











•095 



tt/6 



•008 



•094 



7r/3 



■009 



•077 



7T/2 



•013 



•037 



2tt/3 



•037 



-•039 



5tt/6 



•128 



-•129 



7T 



•272 



-•175 



Fiff. 1. 



Ripple of length -54 cm. ; amplitude '27 cm. ; velocity 257 cm./sec. 



N.B.— The scale of this figure is just twice that of those given below : 

 it is about 7*1 to 1. 



Let us now take the rather longer ripples k = 2 and 



First, when /c = 2 the constants A t , &c 



are 



given In- 



equations (17). In the particular case when a=l, which 



