88 



C. V. L. Charlier 



TABLE VIII. 



1 



6 



Yl 

 1 



A, 



+ 0.064 



— 1 203 



A., 



4-0.410 



+ 1.896 



B 



-(-0.888 



— 0.163 



B, 



2 



-j- 1.008 



— 0.594 



B, 



8 



O.OCO 



0.000 



B, 



— 0.863 



— 0.461 





— 0.934 



+ 0.563 



B 



-"(5 



— 1 952 



-|- 0.556 



B 



— 0.658 



+ 0.751 





+ 0.491 



+ 0.442 



-"9 



-j-l 212 



-J- 1.845 



10 



-(- 1 .893 



-|- 1-528 



'-'1 



-4- 1 



± .100 



-1-0 i!în 





4-5.722 



-(-2.066 



C, 



^3 



-j- 1.589 



-(-0.-186 



C. 



+ 0.479 



-(-0.60G 



C. 



— 0.563 



-i- 1.105 





— 2.803 



-j- 0 600 





— 1 .162 



4-0.931 



0 



— 1.276 



+ 0.467 



c 



— 0.740 



+ 0.378 



c „ 



+ 0.014 



+ 0.573 



'-'11 



-)- 0.654 



+ 0.324 



'-'12 



+ 1 .346 



+ 0.682 



n 



4- 0 74S 



-1-0 7r,i 



D., 



+ 1-383 



4-0.053 



D 



-j- 0.747 



+ 1.239 





+ 0.341 



+ 0.861 



D, 



— 1.260 



+ 0.222 



b' 



^0.114 



— 0.390 



D 



— 1,587 



+ 0.459 





— 1.380 



+ 0.519 



T) 



— 1.278 



+ 0.570 



D 



-^10 



— 0.921 



— 0.981 



B 

 -^11 



+ 0.856 



+ 0.372 



A2 



-f 1.702 



4-0 393 





+ 1.225 



-f 1.115 



i;, 



+ 1.137 



4-1.404 





— 0 361 



4-2.415 



^4 



— 0.699 



4-1.472 



0 



— 1.438 



4-0.521 





— 2.992 



4- 0.808 





— 1.060 



— 0.932 



s« 



+ 0.415 



— 1.033 



^9 



-1-0.612 



— 0.894 



■^10 



+ 0.515 



— 0.824 





+ 0.090 



+ 1.355 





— 0.667 



— 1.244 



Let Z)„ and Av be the declination and the right as- 

 cension of tlie true vertex (= Z'), then 



— 1 cos Dv cos Ay, 



I/? 



y c' 



1 cos D„ sin Av , 



y c' 



1 sin Dv - 



Substituting the values (76*) of S, T and Z we hence 



obtain 



(78) 



A 



7 — 1 



1-707, 



= 18^^51^ , 



Let a^' denote the statistical dispersion of the velocities 

 of the stars (= mean internal velocity) in a direction par- 

 allel to the direction to the vertex, and let 0^' denote the 

 dispersion in a direction perpendicular to it, then 



A^_^ 



Prom the value given above for 1/ ^ 



1 we deduce 



(79) 



a^' == 1.979 Og' . 



For the excentrienty — e — of the velocity ellipsoid 

 we get the value 



'2 



- 0.8626. 



(79-) 



The mean velocity of the stag's in a direction to, or from, 

 the vertex is (nearly) the double of the mean velocity of the 

 stars in a direction perioendicular to the direction to the vertex. 



The absolute values a^' and o^' may be found from 

 the relations (69) which give 



(80) 



h. e. the minor axis in the projection of the velocity ellipsoid 

 in is constant. According to (52**) we thus get 



B =-L 



^0 „ '2- 



7?o = B', 



