284 G. Hinrichs on Planetology. 
$17. Conclusion. 
The principal results arrived at in this paper are 
1st, A simple mechanical theory of spiral nebule, 
2d, A more accurate determination of the orbits; and above all, 
8d, The discovery of the true law of the planetary and lunar 
than Titius’s law. é 
Newton discovered the true form of Kepler’s law by dein 
it from a higher law, that of universal gravitation. Instead 
Kepler's form, C being the same constant for all planets, 
T2_¢ 4 ig? St 
3G. ° 
Newton found that the true law is 
a 1 
=3 aaa (M-+ m), ‘ ; . (7 ) , 
w being the constant of gravitation, hence the same for all plan- 
ets; hence, 
Co(M-pm). «ects Bae 
That is, Kepler’s constant C is proportional to the sum Pastors 
mass M of the sun and the mass m of the planet. By masses 
analysis it is found that C even is dependent on all the 
and distances in the system. ion of 
So also in our case. We have given the true pliner for 
Titius’s law by extending it to Mercury and have wey at it 
the deviations of nature from the law, by demonstrating, por 
is a necessary consequence of the higher law, viz: the a 
between the abandonment of the different orbs of the same yr ertod 
rer 8 18).. Now this is what we claim as our law. opus 
leduced an 
d corrected Kepler’s law by his law of oe by our 
tion, so we have deduced and corrected the law of Tit 
law of equal intervals. 
ie ee 
aS oth oh a Dabs eles 
fie ae oN, 
