( 420 ) 



For « the second of time and for the others quantities the second 

 of arc have been adopted as unities. I multiplied the equations of 

 condition for « by 15 cos d, and instead of A cTl I introduced 



as unknown quantity. 



Equations of condition. 



a. From the Right ascensions : 



Acfl 

 0.22202 LM + 9.21681,, Li + 9.64568„ = 0.79873„ 



0.25966 „ + 9.03853,, „+ 9.83118;, „ =0.71776,, 

 0.28811 „ -f 9.03023„ „ -f 9.88800„ „ =0.90136,, 



h. From the Declinations : 



LSI 

 9.42488 LM + 0.00000 Li + 0.10037„ = 1.13386 



8.59106 „ + 0.07737 „ + 9.91908,, „ = 1.17898 

 8.32222,, „ + 0.10992 „ + 9.74819,, „ = 1.08099 



The coefficients are written logarithmically ; the second members 

 are taken from column 4 and 5 of table V, and therefore to LM, 

 found from these equations, the correction -\- 50" has still to be applied. 



From the above equations of condition we derive in the ordinary 

 way the following normal equations : 



Acfl 



4- 9.9278 LM — 0.39596 Li — 3.8260 = — 31.495 



^ 10 



— 0.39596 „ + 4.1375 „ — 2.7434 „ = + 49.637 



— 3.8260 „ — 2.7434 „ + 3.8423 „ = — 23.951 



These equations are much simpler if we introduce besides LM, 

 only one of the two unknown quantities. If we try e.g. to represent 

 the observations only through variations of M and i we have not 

 only LSh=-0 but the third equation falls out entirely. 

 1. Solution for LSI = 0. 

 The results are : 



LM = — 2" 7042 

 At = + 11.74 

 and the remaining errors : 



1. A«= + 0^014 A(f= + 2"59 



2. = + 0.097 + 1.18 



3. = — 0.151 —3.13 



