isaac 
415 
1872. ] [Chase. 
The ratio > is the unit factor for the explosive centres of oscillation of 
a, 8, and a 
The combined ratios of direct and reverse centres of oscillation, 
20, determine the following interesting positions : 
: 207 207 nae 
Near 9x Sem) is the centre of gravity of the solar system, at 
f ¢ 
heliocentric conjunction*...... Pen eG nee y 
207 : . i ; : 
Near 9? asl 207, is the centre of explosive oscillation, between the 
2 
limit of solar retardation and the Sun’s surface.......-....-..... E 
is eur : : : ‘ 2 
Near 9° “31 =180r, is the centre of gravity of Mercury, Venus, and 
tit Dart de a ce ata es ema oc ae ect ov teat o 
207 
Near 9'X< 8i 16207, is the centre of gravity of the planetary system. z 
€ a 
Near 9° ie 145807, is a point which I will designate as the reciprocal 
of gravity for the solar system..........---++-- ee i ae Veins 0 
If the centre, of explosive gyration from the Sun to Neptune be 
taken as a unit, and a point at a distance of 9 of those units =328057 be 
regarded as the seat of a new explosive action, the point » is near the 
centre of explosive gyration towards the solar system. Tf the centripetal 
is equal to the radial or centrifugal action, and if gravity is a resultant of 
wthereal oscillation, the square of the periodic time being 32 times as 
great asthe square of the time of fall to an attracting centre, the modulus 
of light, relatively to the Sun, should be 32> $< 328057—4669607...... S 
The closeness of this estimate is shown by the following calculation : 
log. v? 10.527057+ 
«gat Sun 7.219737 
“light mod. 11.307820 
need: 5.628452 
{ mod,--7 5.678868 
>, modulus of light =477384. 67. 
The half-modulus is the height of virtual fall required, during or bital 
revolution at the Sun’s surface, to acquire the velocity of light, if there 
were no ethereal resistance. Its relation to three cardinal positions in 
our system, is expressed in the following proportion : 
+ modulus : 2/’s rad. vec. :: @’s rad. vec. :.©’s rad. 
The approximate value of the Earth’s radius vector, as thus determined, 
AS QELS 0487, us ae ee Bah seas 0 en ones Cs 
* Whenever I have occasion, in the present paper, to speak of the centre of gravity of two 
or more planets, they will be considered as in heliocentric conjunction, and at their mean dis~- 
tances from the Sun, 
+ The values of the astronomical elements are taken from Norton’s Astronomy. 
