SECULAR VARIATIONS OF THE ELEMENTS OF 



From these quantities we shall obtain the following logarithms 



a log. 9.58782172; 



a' log. 9.85933786; 



a" log. 0.00000000 ; 



a'" log. 0.18289600; 



a 17 log. 0.71623697; 



a 7 log. 0.97949611; 



a 71 log. 1.28292968; 



a rn log. 1.47761116; 





m 



log. 93.3128501 





in' 



log. 94.4089354 





m" 



log. 94.4333398 





rn!" 



log. 93.5717620 





m 17 



log. 96.9796889 





m 7 



log. 96.4557335 





m 71 



log. 95.6037135 





m rn 



log. 95.7263044 



n 



log. 



6.7308643; 



n' 



log. 



6.3235906; 



n" 



log. 



6.1125974; 



n'" 



log- 



5.8382513; 



n 17 



log. 



5.0384481 ; 



n 7 



log. 



4.6434145; 



n 71 



log. 



4.1882114; 



n 7 " 



log. 



3.8961950; 



m 



m! 



rn" 

 m'" 



rn n 



V 



m 

 m 7 



in 7 



na 

 n'd 



n a 

 n I7 a 17 



V V 



n a 



n 7I a 71 



„ VII ' VII 



log. 86.9941641 

 log. 88.2260070 

 log. 88.3207424 

 log. 87.5506147 

 log. 91.2250039 

 log. 90.8328229 

 log. 90.1325724 

 log. 90.3524982 



The values of a, a', a", &c, give the following values of a and 1 — a 2 . 



For Mercury and Venus a=0.5351603 log. 9.72848386 

 Earth a=0.3870987 log. 9.58782172 

 Mars a=0.2540538 log. 9.40492572 

 Jupiter a=0.07440202 log. 8.87158475 

 Saturn a=0.04058127 log. 8.60832561 

 Uranus a=0.02017864 log. 8.30489204 

 Neptune a=0.01288874 log. 8.11021056 



1— a 2 log. 9.8534569 

 1— a 2 log. 9.9294980 

 1— a 2 log. 9.9710237 

 1— a 2 log. 9.9975892 

 1— a 2 log. 9.9992842 

 1— a 2 log. 9.9998231 

 1— a 2 log. 9.9999279. 



For Ventis and Earth a=0.7233323 log. 9.85933786 

 Mars a=0.4747247 log. 9.67644186 

 Jupiter a=0. 1390276 log. 9.14310089 

 Saturn a=0.07583011 log. 8.87984175 

 Uranus a=O.03770580 log. 8.57640818 

 iVep^wea=0.02408390 1og. 8.38172670 



1— a 2 log. 9.6783274 

 1— a 2 log. 9.8890979 

 1— a 2 log. 9.9915235 

 1— a 2 log. 9.9974955 

 1— a 2 log. 9.9993822 

 1— a 2 log. 9.9997480, 



For Earth and Mars a=0.6563025 

 Jupiter a=0.1922043 

 Saturn a=0. 10483 44 

 Uranus a=0.0521279 



log. 9.81710400; 1— a 2 log. 9.7553161 



log. 9.28376303; 1— a 2 log. 9.9836522 



log. 9.02050389; 1— a 2 log. 9.9952006 



log. 8.71707032; 1— a 2 log. 9.9988183 



Neptune a=0.03329575 log. 8.52238884; 1— a 2 log. 9.9995183. 



For Mars and Jupiter a=0.2928593 log. 9.46665903; 1— a 2 log. 9.9610571 



Saturn a=0.1597349 log. 9.20339989 ; 1— a 2 log. 9.9887751 



Uranus a=0.07942665 log. 8.89996632; 1— a 2 log. 9.9972515 



Neptune a=0.05073232 log. 8.70528484; 1— a 2 log. 9 9988808. 



