Chase.] <j4b [Jan. 1, 1875. 



the velocity of liglit, therefore point to the same unity of force as has been 

 indicated by the modern researches in heat, electricity, and magnetism. 



III. For light and Terrestial Gravity : 



If g ^ equatorial gravitating velocity, and ^ = a sidereal year, 



3 



gt ^ -Jl J^-^ = 365.256 X 86400 ^ 5280 -- i/1.0645 = 185,380 m per 



second. This corresponds to the velocity of light, giving a Solar distance 

 of 497.83 X 185,380 = 92,287,700 miles. 



VI. Wave Lengths : 



The primary radius, 1.0645X92,255,000X63360 -- 214.86 = 28,959,800,- 

 000 inches. Dividing by the number of wave-lengths* in radius, 66456 



(10/1, ^e find for the value of one wave length, u = ^oqTq^ *^- '^^^ radial 

 waves should be accompanied by deflected tangential waves of three 

 kinds, viz. : 



1. w.^ = u = TT^^ain. = wave of simple rotation. 



2. w, ^ ttW = in. = wave of circular orbit. 



72934 



3. Wq = 2-u =: in. = wave of virtual fall doing work = Solar 



36467 



orbital wave = 4 lo.,. 



According to Eisenlohr,t the wave-lengths in the diffraction spectrum 

 are as follows : 



1 



Upper actinic, 143880 ^"" 



1 . 

 Lower actinic, or upper luminous, TTqlf) *^' 



Lower luminous, or upper thermal, wTTfT"** 



V. Miscellaneous : 



Among other note- worthy accordances in this connection are the fol- 

 lowing : 



1. The approximate equality of Mass (2/ -h O) to distance fallen 

 through in (time of fall to centre -4- time of circular revolution) . 



2. The equality of orbital vis viva in Jupiter and Saturn. 



3. The equality in the ratio of orbital vis viva (tp h- §) to the ratio 

 of orbital to radial waves (w -^ m)- 



4. The connection of Sun's radius, modulus of light, and the limits 

 of the planetary system ; the velocity of planetary revolution and Solar 



rotation being equal at 37 ; v. of revolution at 37 t|J (=-^ ) = v. of 



rotation at ^ . 



5. The stellar-solar parabola, between a Centauri and Sun, and its 

 relations to the planetary distances. 



* Loc. cit. t Am. Jour. Sc. [2] xxii, 400. 



