' 25 
1883.] 125 [Chase. 
The substitution of (25) in (12) gives 
Py -& 7m = 219.8010, 1.02260, 27. 
Hence by (18), we find for the locus of », in solar rotation, 
[2] = 151088.17, = 704.538), 28. 
And the solar modulus of light (14) is 
M = 474657.8 1, = 2218.87 0, 29. 
890. Influence of Synchronous Radial and Tangential Virials. 
The theoretical variation of ethereal density within the limits of our 
planetary system (Note 240) is so slight that the several vector-radii may 
be considered as indicative of virial projection against a resistance which 
is nearly uniform. The radial and tangential virials (Note 884) being syn- 
chronous, we may with reason look for cosmical evidences of the syn- 
chronism. Accordingly we find, from (21) and (25), the following regular 
series of approximations to planetary loci. ‘The subscripts, 1, 2, 8, denote, 
respectively, secular perihelion, mean, secular aphelion. 
VS4p, = 30600, Mercury, = ‘29740, 30. 
18-8 p, = 55090, Venus, = ORR, 31. 
op, = 1°78480, Mars, = 1°765p, 83. 
1:8° p, == 8212p, Asteroid 108 eel ae 84. 
1°81 p, == 5°7828, Jupiter, Eee JOON Boy hh Eby 
1:87 p, = 10-4090), Saturn, . == 10°34380, 36. 
15? P, = 18°73620, Uranus, = 19'18860, 37. 
1:84 p= 83 7RB20 4 Neptune, == 30°46960, 88. 
Geom’] Mean =  3°212%p, Geom’! Mean = 8:22000, 89. 
All of these approximations represent loci of belt-condensation, for the 
respective planets, which are in accordance with the nebular hypothesis. 
The geometrical means differ by less than } of one per cent. The photo- 
dynamic mean represents the semi-axis major of Asteroid 108; the 
planetary mean, the semi-axis major of Asteroid 122, The second 
photodynamic locus ('5509p 5) is, within less than one per cent., the 
arithmetical mean between the semi-axes major of Mercury and Venus 
(5552). 
391. Photodynamic Centre of Various Oscillations. 
The common virial locus (Note 382) of mean momentum, linear oscilla- 
tion, spherical oscillation, and reciprocal oscillations, gives the following 
planetary approximations by (15), (16), (17), (18), (19) and (25) : 
Pa = 642589, Cardinal centre : 6.44519, 10. 
pp == 481909, Jupiter, = 4:88630, At. 
py == 9°6380p, Saturn, == 9'58890, AR. 
ps == 808180, .4 Uranus, Se Bie 43. 
Pe 5°854504 Jupiter, == 5°2028/s5 Ad. 
Ar. Mean = 6°8587p5 Ar. Mean = 68690 , 45, 
Ge. Mean == 6'6825/s3 Ge. Mean : 66421), 46, 
