Chase.] 608 [April 18, 
Harmonic, Astronomical. 
My -- Me 8510.7 8512 Leverrier, 
Mg —- M_ 22508.'7 22600 = 100 Newcomb. 
My -- Mg 19384. 6 19380 + 70 Newcomb, 
463. Hvidence of Nebular Subsidence. 
The outer portion of the Neptune-Uranus belt is harmonically connected 
with the belt of greatest condensation, as we have seen (Note 440), by an 
important mass-relation. One linkage of the inner portion of the same 
belt was given in Note 442; another is found in the proportion 
ta: ty ae (ps + $00)” 3 pr’. 
1 : 866.2565 : : (1.00288155)? : (19.1824)? 
Leverrier’s estimate of p, is 19.18264, which differs from the harmonic 
estimate by less than } of Sun’s semi-diameter. This harmony introduces : 
(1) The rupturing tendencies of nebular subsidence through $7; (2) The 
interstellar parabolic influences which have determined the harmonic po- 
sitions of the eight primary planets and of the asteroidal belt (Note 46); 
(3) The conversion of parabolic into elliptical influence, with foci at the 
centres of Harth and Sun ; (4) The variation of the times of nebular rota- 
tion inversely as the square of radius. These relations, taken in connec- 
tion with equation 3, Note 460, furnish conclusive evidence in support of 
Herschel’s ‘‘ subsidence theory.’’ 
464. Harth’s Dependence on Luminous Undulation. 
The influence of luminous undulation in determining Harth’s orbital 
period is quite as remarkable as its influence upon the time of solar rota- 
tion, The latter represents the maximum energy, while terrestrial revolu- 
tion represents the mean energy of luminous undulation, in accordance 
with the general principle that, when a disturbance consists of terms in- 
volving sines or cosines of angles which vary with the time, the maximum 
energy is twice the mean energy. According to Stockwell, the secular 
centre of the belt of greatest condensation is at 1.0169394.5, which is an 
arithmetical mean between Earth’s mean radius vector and its mean 
aphelion. arth, like Jupiter, shows the energy of wthereal projection as 
well as the mean energy of luminous undulation, We find, accordingly, 
9s X 1 yea = 1.08387880,. This gives 1, == 185501.5 miles. 
465. Jupiter's Dependence on Luminous Undulation. 
The combined influence of luminous undulation and central condensa- 
tion, in determining Jupiter’s orbital velocity, is equally striking. 
1.01693947, : psi: V7.5 py 2%. 
Substituting the harmonic value of Ps (92542800), this proportion gives 
0, == 185498.1 miles. 
