6 



SECULAR VARIATIONS OF T U E ELEMENTS OF 



From these quantities we shall obtain 



m log. 93.3128501 ; 

 m' log. 94.4089354; 



log. 94.4333398 ; 



log. 93.5717620; 



log. 96.9796889 ; 



log. 96.4557335 ; 



log. 95.6037135; 

 m ra log. 95.7263044; 



m" 



m' 

 m f 

 m r 



the following logarithms 



a log. 9.58782172; 

 log. 9.85933786; 

 log. 0.00000000 ; 

 log. 0.18289600; 

 log. 0.71623697; 

 log. 0.97949611; 

 log. 1.28292968; 

 log. 1.47761116; 



a' 



a" 

 a'" 

 a' ] 

 a r 

 a r 



a 



n 



n' 



n" 



n" 



n" 



n r 



n n 



log. 6.7308643; 

 log. 6.3235906 ; 

 log. 6.1125974; 

 log. 5.8382513; 

 log. 5.0384481 ; 

 log. 4.6434145; 

 log. 4.1882114; 

 log. 3.8961950; 



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; 1 



Earth a=0.3870987 log. 9.58782172; 1 



Mars a=0.2540538 log. 9.40492572 ; 1 



Jupiter a=0.07440202 log. 8.87158475; 1 



Saturn a=0.04058127 log. 8.60832561 ; 1 



Uranus a=0.02017864 log. 8.30489204; 1 



Neptune a=Q.Q!2888U log. 8.11021056; 1 



a 2 lot 



-a- log. 9.8534569 ; 

 -a 2 log. 9.9294980 ; 

 -a 2 log. 9.9710237; 

 -a 2 log. 9.9975892; 

 -a 2 log. 9.9992842; 

 -a 2 log. 9.9998231 ; 

 a 2 log. 9.9999279. 



For Venus and Earth a=0.7233323 log. 9.85933786 ; 1 a 2 log. 9.6783274; 



Mars a=0.4747247 log. 9.67644186 ; 1 a 2 log. 9.8890979 ; 



J^er a=0. 1390276 log. 9.14310089 ; 1 a 2 log. 9.9915235 ; 



Saturn a=0.07583011 log. 8.87984175; 1 a 2 log. 9.9974955 ; 



Uranus a=(X03770580 log. 8.57640818; 1 a 2 log. 9.9993822; 



Neptune a=0.02408390 log. 8.38172670; 1 a 2 log. 9.9997480. 



For Earth and Mars a=0.6563025 log. 9.81710400; 1 a 2 log. 9.7553161 ; 



Jupiter a=0.1922043 log. 9.28376303 ; 1 a 2 log. 9.9836522 ; 



Saturn a=0.1048344 log. 9.02050389; 1 a 2 log. 9.9952006 ; 



Uran-as a=0.0521279 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. 



