84 A NEW METHOD OF DETERMINING 
neglecting the common factor k (1 + m), 
we have 
dw 1 ( VPo\ de 2 do = Ry Se esa 
all oe) eer meee ak 
dt key Do dy ky/ Do dr eee y r sin f df ; 
2 dQ. q Uae F 2 sin f dQ (cos f--e,) dQ | 
—— ae 2 ae | SBE ee (cos eo aa 
r ky/ po (7 sin nf a cos f) bor ki/ Po L p wie tks p df 5 
And as 
v =psinoa, c= 0 COS, 
this becomes 
a = [ (—1-2 a a2 2 sino. cos f. “2 +2 .psinosin f. 2 
dt ky/ po Vp? df df Say. 
+ 20 cosa. sin f. ey 2p . Fy 0080 008, f + 2p Sine sin 7 
aL yp a f ae. sl . 9 COS @ a) 
= yy (32) ie +208 (0) oP £04 9? oa (f— oie 
QZ cosa (jf gf = 2e,.” cosa =| 
p P df 
But 
26,9 cos a. — 2p.” i= = oe “(6 p COS 0 — py) = ps8: 
also 
= 5 k= se 
