358 Astronomical and Nautical Collections, 



y^y.. 'W ..Hyy-, the initial value ^ = 1+ 2«= 1.18 

 /'- ^' (y x'"Jy . ^''yy\ '^^P , Iny 2rvy\ 



^ -js\7^^~-^'-^)~jsU'^~r^ z^) 



dV _ \ +271— (2n + Sii ') ^ _ l-8«' ^^ 

 dr""" 5wpV wpV 



dr di, d;^' d_y dT d^ , dr ^^v' . >''^. 

 ^ ""dlT'dr"^ dy'dr"^ dz'dr "^ d^ dr ^ ' ^ "» ' 



' ' dy * dr d dr v { mpsz J 



d'r -^v d'f' -1) df ., 

 ' " du ps d2 ps clC 



^- ,.^{Ji(H.8«)_i:^(4n)|=i^-^p (2 + 14„)+^ 

 ^ " jps ^ ps^ J ps psips ps 



(l+8n)]+ ^n+A,i) {2n + 8n')=4l-f -^(1+S«) + ^ (4«) 

 J p s p s \ 



+ 2 + \47i-^ (\+8n) +2n + \6n' + 32n') 



— —(-\—8n-2n-l6n'+4n+\67i'+\6n'+2 + \4n-\-8n 

 ~pV^ 



-2w-16?i'+2K+16«= + 32n=) 



^:^^.(48«') 



dr" wp^'s^ ( \7nps j ^[ mps J) 



+ -!! — (48m'— (4tt+ 16«^) +2+4n) 

 7npV 



l_8?iVl+2?i ^ 2 + 16»^ + 48n' . 



= rr s + —3 i^" 



wips 1^ 7nps I TTip'S 



=: . 1 (144«"— 12m— 48»° + D+12w) +\ — : . 



dr' { '"ip / mp^ \ tnp 



] ^-^"' n+2?t 2K + 8ra^1 _ (1+271 y 1 

 / 7»*p^ I P p J ~ I »ip / mp" 



wp / V mp" 



(1+271 \ /i_8n''V 

 (6-48«=+144«3) + [-__i)( j- 



I 



