1875.] 345 [Chase. 



velocity of light, so as to derive all our data from observations wliicli are 

 always susceptible of verification, we find the following accordances. 



I. For Earth : 



3 m 4;' 15851 c'nc\''n An „ 7, 



■y = — n =■ — = ^, = DoO .46 per h. 



2 -n: r f 24: 



^l I 32X7925.5 „ ,„ 



«i -= \ 2 gr = V^^lsO ^-^^^^ = 24,950"\2 " " 



V = il = ^ _ 32X43200X3600 ^ 949 g^.m ,, ,, 



° 3 ^ 5280 



m 



«'o"^]/214.86-=approx. Solar y'gr at © = 64,302 



Multiplying by 8766 * and dividing by 2~ we get, for an approximate es- 

 timate of Sun's distance, 89,711,000"' («). 



The distance corresponding to Cornu's estimate of the Solar parallax 

 (8".86) is (206264.81 ^ 8.86) X 3962.75 = 92,255,000 '^ (/9). 



Dividing (/?) by («) we obtain 1.0284, which is nearly equivalent to 

 |/1.0645.* Therefore v^ for Earth is nearly, if not precisely, equivalent 

 to planetary velocity in a circular orbit at the centre of gravity of Sun 

 and Jupiter. 



II. For Jupiter : 



The uncertainty of the elements in this case precludes the possibility of 

 any minute verification of hypothesis, but it is evident that the point at 

 which the gravitating waves must act, in order that the dissociating velocity 



of Jupiter i v^, ^= ^) may equal the limit of planetary velocity, must 

 be at or near Jupiter's surface. For the mass of (Jupiter -=- Earth) 



= ^^rr. - A -^ 4.432 ( _',^ ) =308.92. The apparent diameter of Jupiter 

 1050.14 \ 1000/ 



is variously estimated, from 3' 13" to 3' 25".5 at Earth's mean distance 



from Sun. Dividing by 2X8". 86, we find for diameter (2/ -^- ©) 



10.89 @ 11.60, and for ^ (2/ -^ ©) 3.3 @ 2.6. The estimates for the 



time of rotation (t) vary between 17700^^^' and 17880'^^''- 

 Therefore : 



Vo =^=gi (33X3600)^ggg^g-^Q ^ 1,014,283^ per ?i. The geometri- 

 2 5280 



cal mean of these possible extreme values, differs from the value found 

 for Earth by only 7-10 of one per cent. The other planets, both of the 

 Jovian and of the Telluric belt, would all be dissipated and absorbed in 

 their primaries before they had attained the dissociating velocity of Jupi- 

 ter and Earth. This intimate dependence of planetary aggregation, dis- 

 sociation, and rotation, upon Solar attraction, and the dependence of 

 Solar aggregation, dissociation, rotation, and planetary revolution upon 



* y^l.0645 = 1.031T. 



