Chase.] ^^^ [April 2, 



c = 1 -]- orbital excentricity 



^■ = effective inertia of votatioii = moment of inertia divided by time of 



revolution = m y'T' Then 

 , f 2h /27i\^ „. TO ~i\ 1 2ff, surface 



u \ g^j ?i 4 ^i T 



2. ^. = (ii)2 ==JLof tetber 



Tl V 1\/ 7)1 



d, \ rj 

 d. 



4. fZ 



d. 





6. fZ, = (^) fZi 



7. cZ3 - ^ ^, 



e. - 



9. 



(^. = 2 (fZ^ — z'fZ.) 



(Z3 «i^ X Cg 



®4 r^ 



The motion of the air in the earth's annual revolution and daily rotation, 

 is slightly uudulatory, but hardly perceptibly differing from a regular 

 ellipse. Its motions are controlled, mainly by solar, and subordinately by 

 terrestrial force, the former giving a motion of 63.8, and a moment of in- 

 ertia of 543,000,000 times the latter. According to Marriotte's law, the 

 specific gravity of the atmosphere should be determined by the conjoined 

 pressure of solar and terrestrial gravity. The liquid and solid portions of 

 the earth, howevei', are not subject to Marriotte's Law. 



In any fluid which is simultaneously affected by two attracting 

 masses, e. g: by the earth and the sun, it would seem that two systems of 

 waves should be generated, moving with velocities «, »' such that v = 

 l/2~^ ®i = V2^7iJ 



But if the fluid is on the earth's surface, h == 7i', while at the centres of 

 force, g : g^ : : m : m^. 



