158 



SECULAR VARIATIONS OP THE ELEMENTS OF 



Substituting these roots in succession in equations (515-526), we get the follow- 



ing values : — 



For the root g, we get, 



g =— 5".1262327, 

 2V' =+0.1227712V 

 2V" =+0.08794172V 

 2V'" =+0.01756792V 

 N ir =— 0.0002079832V 

 j\T =— 0.0002644022V 

 N rI =+0.00023603222V 

 2V rra =+0.0000061622 



For the root g x , we get, 



g x =— 6".5922343, 

 N; =— 0.2764822Vi 

 N{ =— 0.2229502^ 

 2V/' =—0.04662452^ 

 2V/ 7 =+0.000336102^ 

 NJ =+0.0004744722V a 

 N™ =— 0.0002482452Vi 

 N 1 r "=— 0.00001471532Vi 



For the root g 2 , we get, 



9 z=— 17".3937133, 

 2V 2 ' =— 5.563272V 2 

 2V 2 " =+ 4.563742V 2 

 2V 2 '" =+33.241302V 2 

 2V 2 * r =— 0.00165392V 2 

 2V 2 V =— 0.014031 12V 2 

 2V/*=+ 0.001370242V 2 

 2V 2 ™=+ 0.000157142V 2 



For the root g z , we get, 



# 3 =— 18".4091136, 

 2V 3 ' =— 6.098782V 3 

 2V 3 " =+ 6.656082V 3 

 2V 3 '" =— 10.22542V 3 

 2V/ F =— 0.00001 959682V 3 

 2V 3 F =— 0.000 1506082V 3 

 2V/'=+ 0.00001257072V 3 

 2V 3 r/ =+ 0.000001393942V 3 



log. 9.0890969, 



« 8.9441950, 



» 8.2447196, 



" 6.3180273?*, 



» 6.4222642w, 



« 6.3729713, 



" 4.7897356. 



log. 9.4416674m, 



" 9.3482076??, 



" 8.6696144h, 



" 6.5264690, 



." 6.6762012, 



" 6.3948800m, 



" 5.1677685m. 



log. 0.7453298m, 

 " 0.6593212, 

 " 1.5216780, 

 » 7.2185079m, 

 " ■ 8.1470920m, 

 " 7.1367973, 

 " 6.1962851. 



log. 



0.7852438m, 

 0.8232187, 

 1.0096800m, 

 95.2921852m, 

 96.1778487m, 

 95.0993576, 

 94.1442453. 



For "the root # 4 , we get, 



# 4 =0"; 2V 4 =2V 4 =2V 4 "=2V 4 "=&c. 



