KUNGL. SV. VET. AKADEMIENS HANDLINGAR. BAND 60. N:0 8. 



27 





X = — 0.321 Z = — 0,069 



Y = + 0,279 il = + 0,287 



F = - 0,430 ± 0,225, 4 = — 34° ± 24° 



D = + 9° ±24°. 

 We then put K = and obtain the elimination equations: 



1 ,0000 X — 0,0816 Z + 0,1019 Y = — 0,3744 



1,0000 Z + 0,1410 Y = + 0,1150 



1,0000 Y = + 0,2324 



X = — 0,391 Z= + 0,082 



7 = + 0,232 



F = — 0,462 ± 0,273, A = - 27° ± 35° (m. e.) 

 ^o=± 0,473 D = -10° ±27°. 



i? = mean error in one velocity with the \veight = l. 



The tvvo Apex-values differ with respect to the co-ordinates considerably from 

 the Apex determined from the radial motions of the globular clusters, while, on the 

 contrary, V agrees well in both cases with the value found from Slipher's radial 

 velocities. 



Introducitig the values of the unknown quantities into the equations of con- 

 dition, we obtain the following residuals. The greater part of a residual surely can 

 be ascribed to individual motions of the examined objects, and only a small part 

 can be considered due to observational errors in the velocities. 



Residuals for all objects. 



- v 



K = + 287 

 v 



K = Q 

 v 



- V 



K = + 287 ' 

 v 



K = Q 



v 



- 300 km 



- 385 km 



- 627 km 



-1000 km 



- 493 km 



— 646 km 



+ 316 



+ 352 



+ 106 



-1140 



- 571 



- 812 



+ 300 



+ 334 



+ 88 



- 200 



+ 234 



+ 106 



+ 278 



+ 363 



+ 281 



- 100 



+ 393 



+ 236 



- 200 



- 16 



- 275 



- 



+ 368 



+ 249 



-1020 



- 804 



-1176 



- 600 



- 357 



- 474 



- 500 



- 46 



- 386 



- 158 



+ 131 



- 323 



- 100 



+ 270 



+ 137 



- 275 



+ 155 



- 293 



- 400 



+ 310 



- 41 



+ 133 



+ 477 



+ 163 



- 825 



- 169 



- 372 



- 202 



- 170 



- 486 



- 500 



+ 130 



- 64 



4- 136 



+ 158 



- 153 



- 940 



- 456 



- 591 



- 165 



- 199 



- 514 



If the 4 planetary nebulae are excluded but the Magellanic clouds retained in 

 the solution, we obtain the normal equations: 



