2-92 NEW FORMULAE RELATIVE TO COMETS. 



we shall find the corresponding values, 



— p (4-341140). + p (2-395257). —p (3-815140). 



If to the value of Aa = -2664756, we join AV = — -2012315, 

 A'a' = — -0698817, obtained from the logarithms used in the pre- 

 ceding computation, there will result D = — -0046376, and then we 

 shall get 



8-6392065; 5-9232877. 

 + 0435719 + -0000838 

 + p (-043655).' 



^ (%li) 



7-5657013 

 — p (-003679). 



In these values we have taken ^ = 1, f^' = 1, &c. If we employ 

 the logarithms which correspond to r = 1, there will result, instead of 

 the preceding: 



+ p (-043581), — p (-003662);. 



by virtue of which and the value before given, we obtain for the co-- 

 met's velocities : 



x^ = —0-023108 — p (4-297559), ~ 



y,= + 1 014319 + p (2-391595), V (d) 



z, = — p(3-815140)J 



in which p is the curtate distance from the centre of the earth. 



Had we retained the values found in case of /[^ = 1, /u' = 1, &c.,. 

 the coefficients of p would have been 



(4-303592), (.2-388842), (3-823251); 



which are not so accurate as those in ((f). 



The preceding expressions for x,^ y„ z,^ may be easily changed so as 

 to correspond to any required position of the axis of x^ and to the ray 

 drawn from the centre E of the earth to the comet at C. If we sup- 



