Ohase.] ^1^ [Aug. 20, 



brations tend to maintain the stability of the system. The pendulum 

 unit is f Sun's radius, Sun's surface being at a centre of explosive oscil- 

 lation. 



The time of rotation for a given radius varying as the | power of the 

 time of revolution for the same radius, the theoretical distance of each 

 planet may be found by multiplying the | power of its number of pendu- 

 lum units by the value of the unit. Symbolizing each pendulum by its 

 planet's initial letters, the following table gives a compai'ison of theoreti- 

 cal and actual mean distances. The second column exactly represents 

 planetary positions, although, on account of orbital eccentricities and 

 mutual perturbations, it only represents mean positions with a very close 

 approximation. 



The pendulum orbits may be referred to extremities, or to centres of 

 oscillation of linear pendulums, as follows : 



Each of the divisions of the first pendulum is equivalent to the diame- 

 ter of a Sun extending to the centre of oscillation of Sa., and the pendu- 

 lum orbit is symmetrically divided on both sides of the Sun. 



Each of the divisions of the second pendulum is equivalent to a pendu- 

 lum, of which Sun occupies a centre of oscillation, and Mars a centre of 

 vibration. 



If all physical force is transmitted through the medium of an elastic 

 eether, the foregoing accordances seem to illustrate the well-known law, 

 that where points of gross inertia are established in an elastic medium, 

 and exposed to undulations from every direction, as the distances increase 

 in arithmetical progression the densities decrease in harmonic pro- 

 gression. 



