876 



mentioned there. A possible relation between luminosity and velocity 

 has been left out of consideration. Nor did we, imitating Schwarzschild 

 make use of the coefficient of m in the formula for ^,„„. We mention 

 here the results we found and also reprint for the sake of compa- 

 rison the results that Schwa rzschild found. 



In all formulae we have used Schwarzschild's definition of absolute 

 magnitude. 



Schwarzschild's Results. 

 log. I){r) z=z -H 0.488 — 0.097 q — 0.0088 o' 

 log. </(0 = — 2.879 -f 0.737 M - 0.0147 .1/' 

 log.i\iV)= — 0.922 — 0.165 G — 0.0581 G» 

 J/,„ = — 11.9 -t- 374 7n 



Our Results for the whole sky. 

 log. V(r) — — 2.350 — 0.242 q — 0.0165 9' 

 log. q{i) = — 0.853 + 0.141 M— 0.0403 J/' 

 %.ip(F)=— 1.331 - 0.611 G — 0.1400 G' 

 .V„, = — 7.9 + 0.290 m 



Zone 1. 

 log.D{r) — _ 3.113 — 0.263 y — 0.0158^' 

 log. (f{i) = - 0.902 -f 0.154 M— 0.0387 M'- 

 %.ip(F)= — 1.536 - 0.659 G — 0.1344 Ö' 

 M,„=— 8.4 -f 0.289?/» 

 Zone II. 

 log. Dir) = — 2.805 — 0.240 q — 0.0162 9' 

 log. <f{i) — — 0.841 4- 0.127 M— 0.0397 A/' 

 log. ij(n= — 1-603 — 0.727 G - 0.1477 G' 

 M,n = — 8.2 + 0.289 m 

 Zone III. 

 log. D{r) = — 4.1 03 — 0.402 q — 0.0244 9' 

 log. (f{i) = - 0.646 + 0.025 M— 0.0597 .V/' 

 log. U'(F)=: — 0.728 - 0.972 G — 0.2074 G' 

 M„, = — 7.0 + 0.290 m 

 Zone IV. 

 log. D{r) = — 3.690 — 0.332 q - 0.0230 o* 

 log. (f{i) -^ - 0.671 + 0.057 M— 0.0564 M* 

 log.xp{V)= — 1.300 - 0.775 G — 0.1958 G* 

 M,„ = - 6.8 -f 0.289 m 



