ee en se Eon i eas.) 
G, Hinrichs on Planetology. 147 
of its mass, the latter on account of its high age (see this Jour- 
f 
nal, vol. xxxvii, p. 41). Before the precise influence of resist- 
ance was known, these deviations were considered sufficient cause 
to reject the law of Titius-Bode; but now these very deviations 
have become essential supports of the truth of that law. 
Another and better test of our Jaw (38), and of the constants 
of Bode (89), is obtained by directly solving (89) for the age ¢ 
log (a;— 40) — log 15 
Se ee gl ~ ».» » (40) 
and seeing how far ¢ is given by the series 0, 1,2... We thus find 
Planet. Age. too small. 
ie cue) oe om 1066 
enus, - - - - - i spec 
Marthe 2. 2 pads 2adic cepogeb 0000 
Mars, - - - - - 2:9056 +094 
Asteroids @-@,-  - -  3'890 +11 
Siam eae tesa 
aturn, - : = “ . G 
| Uranas, - =< 234 Seas 4-031 
‘ Neptune, - = - 76230 +377 
From this table we see that the age of the planets above that 
of Mercury is as the series of natural numbers, the deviations not 
only being but small, but just such as influence of the mass wou 
make them. This may be easily proved by the formula con- 
tained in the article on the age of the planets before referred to. 
If the present age of Mercury be m, then the age of the inte- 
ror planets will be to that of the exterior ones as m+ r is to 
26° : : 
m+ —, or as 2m +8 to2m+18. We found this ratio as 1 to 
8 (this Journal, vol. xxxvii, p. 48); if true it would follow that 
™=1, or the total age of any planet would be t+ 1, the unit being 
the age of Mercury. cae 
After having seen that (38), the modified form of (36), is ap- 
Plicable to the planetary distances, we will demonstrate that this 
modification is consistent with the signification of 4, the time. 
If the resistance R be proportional to the velocity v, or 
~ ote 1a 
RS ww 4 ee 
we have the tangential force (this Journal, vol. xxxvii, p. 40) 
dé 
: d (#5) dé 
EN atl Resi==75, + + (42) 
| r | 
Where r is the radius vector, and @ the anomaly; but Kepler's 
Second law gives : 
40 _jengla 
ate eee a Ae 
r2 noo: f (43) 
