On some numerical Relatio7is of the Solar System. S7, 

 or also ^ , 



Calculated. Found. 



1. 2. 



1 equ. jervin . . 6001-75 6998 ■ 



3 — chlorine 1327-95 15-4.9 



1 — platinum 1233-50 14-39 14.-55 l<f33 



1 _ hydrogen 12-48 0-14 



1 equ. of the 1 8575-63 100 00. 



double salt J 



Among all the organic bases hitherto analysed, there is none 

 towhich the jervin stands related as to its composition. 



IX. On some new and curious numerical Belations of the 

 Solar System. By S. M. Drach, £s(?.* 



IN every system of bodies circulating lound a comparatively 

 much greater one possessing a rotary motion, the stability 

 of the orbital revolutions cannot be insured unless the se- 

 condaries be placed at distances from the primary greater 

 than the limit of equilibrium between the gravitatmg and 

 centrifugal forces of the latter; otherwise the secondHries 

 would ultimately inevitably fall on the primary, causing great 

 devastation to both. This limiting distance, so important an 

 element in the solar and planetary systems, seems hitherto to 

 have been overlooked, although the distances of the planets 

 from the sun, and of the satellites from their primary, are 

 connected with it in a remarkable manner, as the following 

 investigation will show. 



Denoting by m, r, p, q, the relative mass, equatorial radius, 

 period of rotation, and surflice gravity of a planet with re- 



, . _ centrifugal force , 

 spect to the earth ; and puttmg Q = arra\\l\ 



surface of our planet, and q = the similar quantity at the sur- 

 face of another, we have 



q = -A.Q (I-) 



^ mp- 



Supposing the planets spherical and homogeneous, and 

 putting 8 = relative density, (1.) becomes 



q = ^.Q (2-) 



op- 



The maximum possible equatorial radius of the limiting 

 surface = \/— , and the corresponding polar one was found 

 • Communicated by tlie Author. 



