1872. ] 415 [Chase. 
teversing our procedure, and commencing at the centre of oscillation of 
the reciprocal of gravity (7), we find the following relationships : 
$o istiear the mean position Ob Neptune: 4-100. 5 has ie cas & 
eee the-é. Stave of Nepbune and UTANUS. 5. 2a cts ce ce. yx 
Jee = Me of Neptune, Uranus and Saturn...... ie ores Oo 
oO a ole Ghe (OUT Outer Planeisa.. 2-6. ies oc. AS 
PAE 44 6é 
MOAN POSLLION Of PM SL. es Ae ce ee eG 
The centre of linear oscillation, therefore, appears to have had an im- 
portant influence in determining the positions of Neptune and Jupiter, 
and the centre of explosive oscillation in fixing the places of the inter- 
mediate planets. Neptune’s position is also near the reverse centre of 
2 
explosive oscillation of the reciprocal of gravity, 3 of 3 being equivalent 
o 
fo} 
to ¢. 
From the excess of the observed over the theoretical value of the modulus 
of light (ps in the foregoing table, as well as from the fact that the theoreti- 
cal modulus best satisfies the hypothesis of explosive positions in the 
outer planetary system, I infer that the mean velocity of light between 
Neptune and the Sun, is retarded a little more than one per cent. by 
the condensation of ether towards the Sun. 
5 ¢’ is near the centre of gravity of the principal asteroids, and also 
near the centre of explosive oscillation from Cybele to Flora...... ae 
3 7 is near the mean position Of MATS Ue er ee ad. a 
5 g' is near the centre of gravity of the three interior planets.......... a 
6,’ is near the linear centre of oscillation of Venus .........../...... ze 
fay isneac Mercury.s POmMGlOni ss (sie ool 86 Ne Sale) ca es A 
5 )’is near the explosive centre of gyration, which limits solar atmos- 
pheric retardation........... ig TLSAN CAG A AEs AU es TLE te u. 
This second series of coincidences is grouped in the following table : 
TaBLe ITI. 
Centripetal Evidences of Explosive Oscillation. 
(A) Theoretical. (B) Observed. (A-B) +A Basis. 
ie 9720 7; modulus. 
i red 6480 6453.72 604 Ba! 
i ¥ 5400 5429.62 005 
Oo 3000 2894.57 .085 
e 1633.33 1632.69 .000 
Gs 1088.89 ily soi 027 
7 604.94 588.07" .028 
“ 589.41 026 
q os 336.08 326.59 029 5 
| z 186.71 182.83 021 by 
i x 103.73 103.61 004 I 
i av 57.68 56.07 027 sy/ 
y! 32.02 32.564 .011 5 yf 
* Mean radius vector of Juno, Ceres, and Pallas. 
8 ob ee 2g : : . ty ‘ i 
+ 9 of 36.4; 36.4 being the mean of the two extreme values, derived from Sporer’s and Horn- ai 
stein’s estimates, 
