36 



On our Binary Star and its Attendants. 





Theoretical. 



Observed. 



Authority. 



y. 32 2 +23-875 



1047-875 



1047-879 



Bessel. 



h BB'« 



3522-3 



3501-6 



» 



V Va2xh 



19925-3 



19700 



Kewcomb. 



S 7TXY-V8 



22133-4 



22600 



>5 



© 5-203 3 x4-886*x^ 



326223 



322800 



., 



$ 7T 2 X©^-8 



402460 



408134 



Hill. 



25. These masses, with Hansen and Olafsen's mass for Mars, 

 and Encke's for Mercury, give the following ratios for the 

 extra- and intraasteroidal groups : — 



Theoretical. 



Observed. 



Theoretical. 



Observed. 



If. 1 0000 

 h -2975 

 \> -0526 

 S -0473 



1-0000 

 •2993 

 •0532 

 •0464 



© 1-0000 

 $ -8106 

 S -1019 

 $ '0670 



1-0000 

 •7909 

 •1009 

 •0663 



1-3974 



1-3989 



19795 



19581 



Here is a further approximation, in the inner system, to the 

 square of the outer ratio, accompanied by suggestive indica- 

 tions of the influence of the ratio between aggregating and 

 dissociating velocities (1 : V2), and of the ratio between the 

 oscillatory and kinetic radii (1-4232 : 2 : : 1 : 1-405). The 

 outer is about 220 x the inner, or nearly as Earth's radius 

 vector is to Sun's radius. 



26. To these primitive influences others were subsequently 

 added, depending upon mutual actions and reactions, some of 

 which have already been pointed out, and others are obscurely 

 intimated by harmonies which can hardly be regarded as acci- 

 dental. To this later class the following may be added : — 



a. Jupiter's mass is to Neptune's mass as ir x Neptune's 

 radius vector is to Jupiter's radius vector ; Neptune's mass is 

 to Earth's mass as nr x Jupiter's radius vector is to Earth's 

 radius vector. 



b. The mass of the intraasteroidal planets : Sun's mass : : 

 square of Jupiter's secular aphelion : square of light-modulus. 



c. The limit of possible solar atmosphere : 6 2 x Sun's radius 

 : : Earth's polar : Earth's equatorial diameter (6 = 2 x 3 = pro- 

 duct of number of gravity nodal divisions by number of oscil- 

 latory nodal divisions in a linear pendulum : cf. Jupiter's, 

 mass = 6-7T x Neptune's mass). 



27. Struve estimated Sun's proper motion at 1-623 x Earth's 

 radius vector per annum, which is *258 times Earth's orbital 

 motion, the motions being therefore in the ratio of their den- 

 sities. 



