Statistical meclianios 85 



Further is: 



AvoGADRo's number j^^^ = 30 X , 



Velocity of a hydrogen molecule. . . -= a = 1.694 X. 10^ cm/sec, 

 Half mean distance of the molecules = D — 1.610 X 10 ^ cxn., 



so that 



a .J„„„ 7)2 = 2.378 X lO'i. 



5]/ TT 



From (203) we now get 



T 



-j^ = 0.02n2H . 

 " 1 



Interpolating in tiie table 2 we find two roots: A) = 0.070, B) q = 48. 



A) q = 0.070. 

 From the formula 



_ P\ni-^ -|- 111.,) 



we are now able to compute the constant of atlraction. We get 



P(w2, + mg) == 1294. 

 If now, according to Meddel. N:o 70, we take 



-\- nie, — 6.2 X lO""^* gr., 



so is 



(204) k ^, = 1.445 X IC^^ C. G. S. 



For a comparison of this value with the planetary constant of attraction, we 

 have to express the latter in the C. G. S. system. We have 



7(.2 _ ^2t:Y (sundistance)'^ 



(year)^ sunmass ' 

 But 



Sundistance . . . = 1.495 X 10'^ cm , 



Year . . • = 3.166 X 10^^ sec, 



Mass of the sun = 2.ooo X 10^^ gr., 



so that the planetary constant of attraction (/c^) has the value 



(205) = 2.673 X 10-1» c. G. S. 

 Comparing with (204) we get 



(206) ^ = 5.616X1022.' 



