146 G. Hinrichs on Planetology. 
the variation of » into account has to be separately investig 
Before we attempt this we will compare (36) with observ 
ut by 
a,—=a+ 7.7%, 26 > tn a ee (38) 
and it remains to be seen whether this additional constant 
be accounted for by the variation of » (37). Before we i 
gate this, we will see how far (38) represents observation. 
Ve see that it is almost the same as the law of Tits? 
while in the latter ¢ is @ mere indez, it is in (88) a variable, t 
great independent variable of mechanics, time or age! 
(38) deviates from Titius in the case of Mercury. Adap 
constants of Bode to (38), it becomes | 
G44 (15) 2 4 tite (39) 
Representing by a the actual distance, we have, for com 
son with observation, 
; Distance 
Planet. age,t. cale. ay. obs. 4 
Mercury, 2 e = 55 38°7 
vein eS 3 70 92°3 
Ear : é : a 2 100 100°0 
Mars, Shore tee oe a 160 152°4 
Asteroids @-(@,  - 3 4 280. 262°3° 
‘Jupiter, - - a ek ot 520 5203 
Saturn, a 1000 953°9 
ranus - s PR a 1960 1918°2 
Neptune - « 8 3880 3003°6 
: i eee 
found ieulated from the table in Smithsonian Report for 1861; pad 
to (56 he following interesting fact: mean distance of (1) to (31) pre 
petite De of (57) to (72)=2 752, showing that in general the 
of the group of asteroids have been later discovered. - 
