THE ORBITS OP THE EIGHT PRINCIPAL PLANETS. 35 



log. h m =86.2924049 ; log. I =85.7169075 ; 



na na 



n-rt' fn-^ 



log. h'-- =85.9487046 ; log. 7 =85.8645162n; 



7i ft ftd 



m" m" 



log. 7 i "-,-,,=86.5381661 ; log. ?S rT ,=85.8002322; 



it Ct> /v CL 



log. 7i'"-^,=86. 17232137*; log. r^,=86. 4707346; 



Y& to 7tf Ct 



IV IV 



log. 7i jr ^- jr =89.2232280; log. ^-^=89.8989416; 



IV \A> 79 W 



V V 



1TI 1YI 



log. 7i r - r - F =89.5809761 ; log. r-^- r =86.8370944w; 



7i CL 1 Ct 



log. 7i"4^=88.01 17101; log. r'4^=88.7914476ra; 



fL (Z ?i (Z 



m v " m v " 



log. 7^-^-^^88.2010654; log. Z"S- ^=88.1206031. 



fit \JU IV Ct 



18. These quantities are now to be substituted in equations (136) and (137), in 



connection with the values of N\ N", N'", &c., corresponding to the different roots. 

 For the root g=5". 4638027, we find 



,1847539,. ,64178.9.. . 10467760 



-r-w 2/ == ^ 



Whence ^=88 0' 37".8, and log. ^V=9.2470063. 



Therefore for root #, we have the following values, 



jV = -|^0.1766064, N IV = 0.0000090002, 



N' ^-(-0.0085906, N r =0.0000080335, 



N" =4-0.0054825, N ri =+0.0000035 168, 



N m =+0.00084182, ^ m =-(-0.0000000631-31. 



In like manner we shall find for the root # 1 =7".2484269, 



1654860.4.. 4347600.6 173037154 . 



Whence ft=20 50' 19".4, and log. ^,=8.4294913. 



Therefore for the root g l we have 



N, =+0.02688384, N^ =+0.000010644, 



NJ =0.02014438, N^ =+0.000010875, 



Nf =0.01536192, N," = 0.000002744, 



Nf =0.00254509, ^"=0.0000001122. 



For the root ^ 2 =17".0143734, we find, 



18893046,, , 40873423 .- . 3.068840 ._. 



- --- - 



/3 2 =335 11' 31".4, log. ^ 2 =7.1665150. 



N 2 =+0.001467287, N 2 IV =0.000001059, 



^ 2 '= 0.01121706, W =0.000006401, 



Nf =+0.01 131047, N t n =+0.000000392, 



^'"=+0.02257186, N^"= +0.0000000288. 



