¢ 
1883.] ] 27 [Chase, 
Stockwell’s estimates for the secular limits of the dense belt (Mercury, 
and Mars,) are, py == ‘2974; oy = 1:7365. This gives for (55) 1:0169 ps, 
1 
which is nearly = of the mean proportional (27) between Sun’s radius 
ba vb 
(7,) and the solar modulus of light (29). These successive indications of 
virial influence upon Saturn and Jupiter (40), Sun and Jupiter (53), 
Uranus and Neptune (54), and the relative positions of the dense planets, 
are full of suggestive interest. 
395. Virials of Secondary Rotations. 
While the rotation of the chief nucleal centre (Sun) is determined by 
the velocity of light (8), the rotations of the secondary centres of nebulos- 
ity (Jupiter) and condensation (Harth) are determined, respectively, by 
circular orbital velocities at Sun’s surface [2%] and at the mean centre of 
gravity of Sun and Jupiter [0,1]. 
Its eae [ V] bag V Joo 56. 
Jats inci [%] oe V Oats \s 
The data for the solution of (57) have been more accurately and satis- 
factorily determined than for (56). 
32-088 . 8616408 Feel yian 
Ists = “F580 5 == 261:'821 miles 58. 
396. Jupiter's Diameter and Density. 
Yircular orbital velocity varying inversely as VY, we find (52), (58), 
(57), (58) 
sts = [0] = Gaty + V/- 9801728 = 270167 miles 59. 
[oy ]== [0] + 21445 = 18:°449 miles 60. 
Hall’s estimate of the period of Jupiter’s rotation (9" 55™ 26%.5) gives 
f, == 42 57™ 48,25 = 17863.25 seconds 61, 
Substituting this value in (59) we find 
Js = '19'856 ft, == 2'4887 9, 62. 
Hence, by (53) and (69) 
Ms = 3815°38 ms 63, 
( SalLiAhi Tr, 64. 
dy == (22110, 65. 
Different estimates of Jupiter’s mean apparent semi-diameter give 
values for 7, ranging between 10°87, and 1157, 
897. Sun’s Mass and Distance. 
Earth’s gravitating acceleration and its orbital velocity (60) being known, 
we have all the data which are needed for estimating Sun’s relative mass 
and mean distance. 
ps = 31,558,149 [v,] + 27 == 92,662,000 miles 66. 
1, = pg + 21445 == 432,090 miles 67, 
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