The distribution of the stars to the eleventh magnitude 83 



2. The average Star Density of the Plates. 



The following table gives the average value of the star density of the 

 negatives. 



TABLE XI. The average density of the plates. 



PI. 



3 = 90° 



PI. 



Î = 60° 



PI. 



5 = 30« 



Pl. 



S = 0» 



Pl. 



3=~30" 



Pl. 





Pl. 



î=-85,-75 



1 



18,20 





36,87 



10 



24,69 



22 



19,06 



34 





46 



17,25 



54 



24,05 







3 



23,49 



11 



18,19 



23 



11,82 



35 



15^47 



47 



19,10 



55 



43,02 







4 



16,33 



12 



21,97 



24 



17,,54 



36 



20,34 



48 



25,38 









5 



9,27 



13 



27,76 



25 



33,17 



37 



27,85 



49 



43,3) 













7,54 



14 



24,96 



26 



27,73 



38 



36,84 



50 



45,46 











7 



10,91 



15 



15,Î3 



27 



18,49 



39 



29,60 



51 



45,30 











8 



16,74 



16 



8,71 



28 



1133 



40 



21,73 



52 



34,22 











9 



49,44 



17 



9,91 



29 



12,85 



41 



29,07 



53 



20,40 













18 



13,93 



30 



20,29 



42 



33,42 

















19 



28,39 



31 



43,72 



43 



43,22 



















20 



45,34 



32 



33,17 



44 



26,20 



















21 



40,64 



33 



24,88 



45 



17,81 











The plates are divided into seven columns according to the declination of the 

 centres (§). As can be seen the series show distinct maxima and the course is 

 very continuous. 



3. Discussion of the Distribution of the Stars on the Negatives. 



The decrease of the hmiting magnitude has been derived from the decrease 

 of the relative density. The latter consequently is to be eliminated by the reduc- 

 tion accomplished in the preceding chapter. 



In order to see if this is attained I calculate, as I have done before, the mean 

 relative density in the zones The following series show in what degree the 

 decrease is eliminated. 



Relative density before reduction 

 ' » after » 

















1,343 

 0,9 





1,157 

 1,034 



0,951 

 0,934 



0.884 

 1,033 



0,778 

 1,005 



0,720 

 1,090 



That is to say, with an average density of 25, the series are 



















Before reduction 





33,1 



28,9 



23,8 



22,1 



19.7 



18,0 



After . 



24,8 



1 



25,8 



23,4 



25,8 



25,1 



25,2 



