1872.] 409 
| ; 
} . : 3 * . we > * 
uniform density, ram’, therefore it need not surprise us if we find in 
[Chase. 
toe 
different relations of cosmical masses, the three factors, sec. 3( 
), (see. 80°) 
(sec, 300)" 
1. Mercury’s orbital radius being, as I have said, 7’ = 807><(see. 300)3” 
1 
Neptune’s orbital radius is 80°7, or 807’ (sec. 30°) 
nt 
3 
[807 (sec. 80°) ]-+-(.8870987 x 214.867) —1.00126. 
(80.03697 214.867) + 64007—1.0084. 
2. The distance of the exterior orbital limit of the asteroidal belt 
(Cybele) is nearly a mean proportional between the distances of Mereury 
t and Neptune. 4 
(.8870987 <30.03697) +3.4205—1.003115. 
: 1 
3. If the Moon’s mass is 33 029 of the Earth’s mass, her distance is 
90.058 1 
analogous to that of Mercury, being 80> (sec. 30°) ><the distance of the 
Earth’s centre, from the centre of gravity of the terrestrial-lunar system. 
The mean of five recent estimates of the Moon’s mass, given by Denison, 
1 
83.127-+ 83.032—1.001156. 
4. The year of Mercury : Neptune’s year :: the velocity of a planet 
near the Sun’s surface : the velocity of light, or nearly :: sec. 30° the 
mass of the planetary system : the mass of the Sun. 
(60126.72 + 87.969258)~ (183, 454 + 265.5184)—1.01088. 
(60126.72><sec. 30°) + (87.969258 x 759.46)—1.00617 
Venus may be regarded as an exterior satellite of the Earth, at a 
limit analogous to that of the solar system. For 80? Earth’s radius 
utr shag: distance at perigee. 
<3962.818=25, 362,050 ; 25,362,050 + 25,268, 0CO=1.0037. 
6. The year of Uranus divided by (see. sor is equivalent to the 
month of a terrestrial satellite near the perigee distance of Venus 
(omitting considerations dependent upon solar acceleration and satellite- 
mass). 3 4 
4 (25, 268, 000 + 238,800) - 27.82166 (sec. 30°) + 30,686.821—1.006 
7. The mass of the intra-asteroidal planets : the mass of all the planets, 
2 
3 : 
nearly :: Sun’s radius (sec. 80°) : Earth’s orbital radius. 
(63.52 : 18167.12)-+[(see. 30): 214.86]—1.00131. 
My experiments in the years 1864 and 1865,* the most important of 
which were repeated before the Society, demonstrated that the simple 
mechanical action, of such elastic vibrations as are excited by the con- 
joint influence of solar radiation and terrestrial rotation, would not only 
produce polarity in a needle susceptible of similar vibrations, but it 
*Proc, Amer. Philos. Soc. ix., 359; x., 151saq. 
A. P. S,—VOL. XIT.—2z 
