22 



Chase.] J-^O [April 2, 



5. _^= 68.88 .-. "*^ = 326,800 [327,2801* 



-.(. (?i2 30.070552 d,, „ , 



''• .to^-^:538r •••.;r^'^^^^ '^''''^ 



15. _^ _ 216.395 ... Y> =216,395 218,142. 



^'- -, = 817 .-.-^=333,750 326,800. 



io ,, water m, 



!«• Means, g. ---.— =807.45+ .-. -1 325,380 326,800. 



air r,l^ ' 



19. (2x326,800)^ = 28.43 .-.^=28.43 28.162. 



20. 2g^t^ X -^* = 18.7m. .-. Y, = 18.7 18.4. 



21. 2,y, X 50i X 60 = 18.376 m. .-. V^ = 18.376 18.4. 

 /.135 x2 2 

 ("067 ) ^^^^' =92, 361, 900m. .-.(?, = 92, 361, 900 92,880,000. 



24. COS. 43° X2nr^ ^ ni2.97ft. .-. vel. = 1112.97 1118.09$ 



25. 692.83 Vi = 187,750 m. .-.« = 187,750 185,600. 



26. The earth's proportion would be .000862 of 1125.84 = .97, and 

 97 X ^1 ^~ mass of sun 



®i 3 ^" mass of planets 



27. .97 X 3 ^i T, = u. 



The following estimates of the sun's mass and distance, and the veloc- 

 ity of light, are derived from the foregoing equations : 



From mag- From sp. From From at- From an- From in- From 

 netio accel- gravity length of mospher- nual baro- ertia of mean estl- 

 eration. of air. day. ic inertia, m'icrange- Jupiter, mate offliM 



Sun's mass 383,750 325,380 341,-560 325.520 326,610 338,490 321,940 



Sun's distance 93,033,200 92,246,000 93,886,300 92,260,000 92,361,900 93,450,000 91,920,000 



Vel. Of light 186,910 185,330 188,6.30 185,360 185,560 187,750 184,670 



The study of gaseous molecular motions may, perhaps, be aided by the 

 analogies of luminous vibrations. The equation u = g^ t^ seems to be an 

 important one. A solitary planet or particle would acquire the velocity 

 of revolution in a circular orbit in ^ of the time of revolution, but the 

 particles of the hypothetical elastic fluid to wliicli the luminous vibrations 

 are attributed, under the combined pressure of ffi and of their own adja- 



* As tlie value assumed for r, was derived from this equation, tlie theoretical and assumed 

 results of course correspond exactly. The bracketed number corresponds to- the ordinary value 



— = 216.4. The estimates vary from 214.9 to 217.5. 

 n 



t According to .Tohnston's Physical Atlas, the average of the air and ocean temperatures on the 

 parallels of 45° latitude, is 53°. 69 F. The specific gravity of air at that temperature is 1 -=- 

 807 45. 



t The retardations of the atmospheric tides at St. Helena, at () , 6 , 12*, and 18 respectively, 



are 59™' S5™, 26™ and 31™ , tlie mean retardation being 50,^4™ [See Tmn.<t. A. P. S., vol. 13, p. 

 12«.J 

 2 Mean of polar (32°) and equatorial (82°) = 57°. Isothermal of 57© = latitude 43°. 



