THE ORBITS OP THE EIGHT PRINCIPAL PLANETS 125 



For the root <h= 6".634795, we get, 



0.637032 0.4606865 



27.744169 



Whence ^=125 52' 26".4; and log. iV;=8.4523391. 



N,. =+0.028336, N, ir =+0.000008275, 



N,' =0.006724, JV/ =+0.000011726, 



Nf =-0.005485, 2V/' =-0.000005994, 



2VV" =0.001160, N 1 va = 0.0000003662. 



For the root # 2 = 17".459300, we get, 



6.884438 



. 



2= -\ 



3.578728 



%= 



6546.046 



Whence /? 2 =297 28' 0".l ; and log. iV 2 =7.0738291. 



jV 2 =+0.001185, 

 J\T 2 ' =0.006205, 

 JV 2 " =+0.004991, 

 ^'"=+0.047424, 



N 3 ir = 0.000002184, 

 N, r =0.000019227, 

 N Z YI =+0.000001 860, 

 ^ 2 m =+0.000000214. 



For the root g 3 = 18".666222, we get, 



6.787567 m . 1.953449 



1727.1619 



Whence /3 3 =253 56' 39".4; and log. 2^=7.6116607. 



2V 3 =+0.004089, 

 2V 3 ' =0.023880, 

 2V," =+0.026863, 

 #,"=0.032221, 



For the root <7 4 =0", we get, 

 . 0.7256935 ,. 



N^" 0.000000213, 

 N 3 r =0.000003939, 

 N 3 TI =+0.000000335, 

 N 3 T "= +0.0000000385. 



0.2113335 Af 

 2/4 Tmo " 



10io y* i0io 



Whence /? 4 =106 14' ll".l ; and log. 2V 4 =8.4431447. 



27.24487 

 ^Oio 



For the root &= 0".661664, we get, 



0.1017327 



0.2717512 



241.9334 



10 



,10 



Whence &=20 31' 39".5; and log. 2V/ r = 7.0789678. 



JV 5 =+0.001475, N b ' v =+0.001 19941, 



2V 6 ' =+0.001 357, 2V 6 r =+0.00115783, 



2V 5 " =+0.001330, 2V 5 F/ = 0.00112485, 



2V 5 '"=+0.001259, 2V 6 r// = 0.0117895. 



