68 



Sven Wicksell 



The quantities S® we have already computed in the course of the preparation 

 of the normal equations. Hence the coefficients s (i) are easily found. They are 

 tabulated in table XV, in which the entries are the characteristics to be corrected 

 by equation (85). 



27. In order to gain an opinion of the amount of variation in we will 

 make a comparison between the mean velocity components x 0 and y 0 in the actual 

 squares and the components of the solar motion $ 1 S found from the whole heavens. 



The coordinates of a square being a and 8 and of apex being A and D we 

 have for the components of è 1 S in the square 

 x 0 ' = — ô-, S cos D . sm(A — a) 

 y 0 ' = — & t S(sin D cos S — sin 8 cos D cos(J. — a)). 

 As A = 273° D = 32° we may write 

 x 0 ' = *, #y 21 cos 32° 

 < = »i %22 cos 32°- Ts8 sin 32 0 ). 

 On page 45 we have found the value i>, S= 1.0275. Using this value we find 

 x 0 ' and y 0 ' as given in the first and third columns of table XVI. The second and 

 fourth columns contain the observed values x 0 and y 0 . Taking the velocity of the 

 sun 8 = 19.4 km we found 



*! = 0.0B2 



and using that value we have in the fifth and sixth columns tabulated the quantities 



».(*) = % »i Hv) = ft », 



TABLE XVI. 







x 0 



Vo 



y 0 





h (y) 





Ü.oou 



+ 0.180 



— 0.956 



— 0.625 





0.034 





0.000 



4- 0.047 



+ 0.766 



+ 0.871 





0.059 



ß. 



+ 0.831 



+ 0.697 



— 0.577 



- 0.573 



0.043 



0.051 



ß 2 



+ 0.514 



4" 0.509 



— 0.887 



— 0.745 



0.051 



0.044 



B s 



0.000 



4- 0.161 



— 1.004 



— 0.969 





0 050 



#4 



— 0.514 



— 0.492 



— 0.887 



— 0.671 



0 050 



0.040 



ß 5 



— 0.831 



— 0.992 



- 0.577 



— 0.638 



0.062 



0.057 



ße 



— 0.831 



— 0.707 



— 0.194 



— 0.245 



0.044 



0.065 



ß 7 



— 0.514 



— 0.744 



+ 0.115 



+ 0.225 



0.075 



(0.101) 



ß« 



O.OOO 



+ 0.180 



+ 0.2.J4 



+ 0.298 





0.066 



ß 9 



+ 0.514 



4-0.496 



+ 0.115 



— 0.019 



0.050 





ßio 



-)- 0.831 



4- 0.658 



— 0.194 



— 0.153 



0.041 



0.041 



^! 



+ 0.844 



4- 0.744 



— 0.585 



— 0.663 



0.046 



0.05!) 



c 2 



+ 0.618 



4- 0.781 



— 0.683 



— 0.775 



0.066 



0.059 



c 3 



-f 0.226 



+ 0.492 



— 0.740 



— 0.708 



(0.112) 



0.050 



C4 



- 0.226 



— 0.249 



— 0.740 



— 0.698 



0.057 



0.049 



c 6 



— 0.618 



— 0.752 





- 0.961 



0.063 



0.073 



c a 



— 0.844 



— 0.838 



— 0.585 



— 0.632 



0.051 



0.056 



c, 



— 0.844 



— 0.789 



— 0.472 



— 0.40J 



0.048 



0.04t 



c 8 



— 0.618 



— 0.834 



— 0.374 



— 0.576 



0.070 



0.080 



C 9 





— 0.249 



— 0.318 



— 0.322 



0.057 



0.052 





+ 0.226 



4- 0.320 



— 0.318 



— 0.198 



0.073 



0.032 



c„ 



+ 0.618 



4- 0.622 



— 0.374 



— 0.474 



0.052 



0.066 



c ls 



4- 0.844 



4- 1.033 



— 0,472 



— 0.164 



0.063 



(0.018) 



