THE ORBITS OF THE EIGHT PRINCIPAL PLANETS. 

 For the root </ 5 =2".727818, we get, 



.1763111 



346.4665 



- j_ 0-6-479474 /r 



-10.0 ^5 ; 2/5--= 



Whence 04=105 13 19".4; log. #,"=97.2873891. 



JV 5 =+0.000562809; N 6 ir =+0.00193816; 



JV 5 ' =+0.000554059 ; N 6 r =+0.00176509 ; 



NS" =+0.000581368; ^"=+0.0297147; 



JV 5 '"=+0.000774334 ; # 5 m = 0.00290829. 



rz 



6 * 



For the root <7 6 =3".718622, we get, 



, 0.4583136 ,. , 0.8566921 



ZA=- 



22.50708 

 To 7 * 



1Q10 > V6- JQ10 



Whence /? 6 =28 8' 45".3 ; log. N 6 ' v =98.6351607. 



^=+0.0240344; N 6 tr =+0.0431679; 



N e ' =+0.0164295 ; N 6 r =+0.0341122; 



JV 6 " =+0.0162055 ; N 6 rr = 0.0447780 ; 



JV 6 '"=+0.0187844 ; JV 6 r// =+0.0014139. 







For the root g 7 =22". 461946, we get, 



1.009108 



r 



; 2/7= 



0.7869276 



81.83667 



10 10 10 10 



AVhence /? 7 =307 56' 52".8 ; log. N 7 ir =9S. 1941499. 



N 7 =0.0000878; N 7 IV =+0.0156369; 



Nj' =+0.0002258 ; 

 JV 7 "= 0.0020272; 

 ^ 7 "'= 0.0151238; 



NS =0.0483362 ; 

 N^ =+0.0018051; 

 JV 7 m =+0.0001364. 



71 



34. We shall now suppose ^ /r =+ T 



; and the mass of Jupiter will become, 



Using this value of Jupiter ' s mass ' we 



shall find, 



A[oTo]=0".01 60284; 

 A[TT]= Q .0420284 ; 

 Af^1= .0706826 ; 

 A[s73]= 0.1465990; 



Whence we get, 



[o7o]=<7 5".5862842; 

 Q7[l=# 11 .3567966; 

 \j7j\ =ff 13.1428556; 

 [3TT]=^ 17.6994635; 



E3= 0". ; 

 [1711= 0.1824735; 

 [?7J]= 0.0093732; 

 r?771= .0017907. 



GT4]=# 7".5123754; 

 [ITI1= / 7 18.7786864; 

 [67J]=^ 2.7756254; 

 [7^]=a 0.6497476. 



(288) 



(289) 



