1875,] 



023 



[Chase. 



12 

 Sun, J 



The strongest asserter of accidental coincidences might well be stag- 

 gered at such consistency of order, and the believer in universal causa- 

 tion may naturally ask how it is to be accounted for. I think an explan- 

 ation may readily be found in the combined action of inei'tia and elas- 

 ticity, the rhythm springing from the well-known law of harmonic den- 

 sities, and therefore furnishing a strong indication of universal sethereal 

 elasticity. I propose to inquire what harmonic series are most obvious 

 in the general arrangement, and on what simpler and earlier nodal ac- 

 tivities they all depend. The mathematical considerations which I shall 

 introduce are such as belong to central forces in general, but my illustra- 

 tions will all be drawn from gravitating action. 



/ In a rotating nebula, the centre and the centrifugal unit at ^ r, or | r 

 if we count from the circumference, give three nodes in the proportions 

 7, 8, 9, which have a common harmonic numerator in 7 X 8 X 9 = 504. 

 Introducing also the harmonic node ^ r ^ A, we obtain two natural har- 

 monic series, |, |, | ; |, -g, f ; etc. Now 



Jupiter, Earth at perijove. Earth 

 atapojove ; and Earth, Sun, Venus; 

 repeat the ratio of Uranus to the 

 prime multiple, f . Comparing the 

 corresponding pairs of inner and 

 outer planets, we find 



^ : <^ : : 11 : k •■ ■ 5 :8 



e : c? : : § : W : : 5 ; 7 



thus introducing the second series, 



5 5 5 

 9> X) T* 



If we measure the pendulums 

 from Jupiter, Sun (105) is a mean 

 proportional between Saturn (168- 

 105) and Uranus (280-105). Moon 

 and Venus repeat, in two phases, 

 the limiting ratio of Neptune to 

 Sun, 392. For, Moon's angular ve- 



Sun's radius. The actual rotation-radius of each planet = (rad.vec. -j_ 18) %. E.g. 



Mercury's rad. vec. =8317 Solar-'-adii = 665.38 rotation units: (665.36-^18) % ^= 14- 



.9913. If Sun was expanded to LAiRs_Lil of Us present radius, its time of rotation would 



equal Mercury's time of revolution. 



