1877.) 103 [Chase. 
planets. A radial oscillation at Uranus’s secular aphelion would be ac- 
3 
complished in 10.3396? = 33.247y ; a circular revolution at Saturn’s secu- 
3 
lar aphelion, in 10.3433% = 33.265y; a circular revolution, at Jupiter’s 
mean perihelion, in 4.98722 = 11.108y. The November meteoric cycle is 
55.25y; the Wolf Sun-spot cycle, 11.07y. 
There is a noteworthy numerical correspondence between the seven 
rupturing nodes within the planetary belt, and the seven condensation- 
falls from @ Centauri to is Sun. The fifth node and the fifth fall both 
come within the Earth belt. 
If we suppose seven successive transformations of uniform into variable 
velocity, before the determination of the present solar mass and light- 
modulus (M), and five condensation falls (7 = 1 + 11.656854) after each 
transformation, we have the following approximations : 
mM + 2 30.941 Wa 30.470 
EM 2 ms 9.849 hb 9.548 
mm M + 7 3.135 Hygeia 3.121 
a M* = nb .998 ® 1.000 
NG eae B18 yp .297 
mM + w 101 
=z M-= nn .082 
The probability of undulating gravitating action is increased by the in- 
vestigations of Bjerknes, who has shown (Comptes Rendus, Ixxxiv, 1377) 
that two spheres, having concordant pulsations, attract each other inversely 
as the square of the distance ; and that they repel each other according to 
the same law if their pulsations are opposed. 
The use of the parabola + in representing expanding action is recognized 
by H. Ste.-Claire Deville, who states, in considering cases where vapor- 
densities vary with the temperature, that ‘‘the movement of a material 
point, taken in the expanding material, may be accurately enough repre- 
sented by a parabolic function of the second degree already employed by 
M. Fizeau.’’ (Comptes Rendus, 1xxxiv, 1257). Deville hopes to employ 
the resulting relations usefully in expounding some principles of Thermo- 
Chemistry. 
The hypothesis that the radial vzs viva of mean rectilineal velocity may 
be taken as the representation of increments of heat under constant volume, 
while the radial vis viva of synchronous constant velocity, will represent 
simultaneous increments of heat under constant pressure, t assumes that the 
gaseous condition is perfect. 
If the Sun were nebulously diffused to 2 YW, the equal centrifugal and 
*=* M = distance of a Centauri. 
+ Ante, xvi, 507. t Ante, xiv., 651. 
