110 Reduction of Stellar Photographs 



Star. I 



Xsee rf 



— 



267.483 



+ 246.422 



X sec S 



— 



267.764 



+ 



246.247 



(X — x) sec (5 



+ 



.281 



+ 



•175 



3Ix Xsec(^ 



— 



.060 



+ 



.056 



N. Y 





.000 





.000 



ilx 



4- 



.221 



+ 



.231 



15 Ux cos i5 



+ 



3-03 



+ 



3-16 



Y 



+1 



517-35 



+1 



710.60 



y 



+1533-05 



+1 



724.90 



y-y 



— 



15-70 



— 



14.30 



My Xsec 6 



+ 



-03 



— 



.02 



Ny Y 



+ 



-52 



-1- 



•59 



ny 



— 



15.15 



— 



13-73 



We now form equations (i), the coefficient 15 X being roughly 

 computed by multiplying Xsec ^ by 15 cos (5 with Crelle's tables. 

 We thus get from our two stars the equations : 



+ 3-03 — 3665 p + 1517 r+k = o I g^^^ ^^ 



— 15-15 + I5i7i^ + 3665 r + c = o 



+ 3-16 + 3375 i>+i7iir + A;=o | g^^^ ^j_ 



— 13-73 + i7iii> — 3375 »• + c =0 j 



The quantities p and r are so small that we may neglect 2^^-o 

 part of them; so that it will be quite sufficient to retain the first 

 two figures of their coefficients. In this way we obtain the fol- 

 lowing series of equations, from whose solution p and r will, of 

 course, come out multiplied by 100, because we have dropped 

 two figures from their coefficients : 



Feom the Eight Ascensions. 



1 — 37 i? + 15 ^ + ^" + 3-03, = o 



2 — 33 P — 2r + fc + 2.69^=o 



3 



— 



24 



P 



+ 



13 



r 



+ 



k 



+ 



1.56 



= 



4 



— 



19 



P 



+ 



II 



r 



+ 



k 



-j- 



1-63 



= 



5 



— 



16 



P 



+ 



16 



r 



+ 



k 



+ 



2.51 



=H 



6 



— 



I 



P 



— 



3 



r 



_i- 



k 



+ 



1-93 



= 



7 



+ 



2 



P 



— 



27 



r 



+ 



k 



+ 



4.16 



= 



8 



-j- 



2 



P 



— 



I 



r 



+ 



k 



+ 



1.97 



= 



9 



+ 



24 



P 









r 



+ 



k 



+ 



1.88 



^ 



[O 



+ 



32 



P 



+ 



33 



r 



+ 



k 



+ 



3-16 



= 



+ 34 ^ + 17 r + >^ + 3.16 



