08 OUTLINES OF NATURAL PHILOSOPHY. 



= -r, because / is supposed constant 5 there- 



fore v v ' = Jl X J?L = ^LfL and hence 



that is # = F **. 



In the same manner are found the values of y and 



of z. 



On these three equations is founded the solution of 

 the problem of The three bodies, 



266. The same things being supposed, let the 

 co-ordinates by which the planet P' is referred 

 to the ecliptic be #', y r , z' - 9 let SP = 



+y* + * = r, SP' = 

 and the distance of the planets, or PP' = 



J x _ x j + (y _ y j + (z zj = y. Also 



let m be the mass of the planet P, and m* that of 

 F, the mass of the Sun being 1, The whole 



force 



