THE ORBITS OF THE EIGHT PRINCIPAL PLANETS. 



). 0".0000942.0 

 ). 0.0042125.6 

 (4,j)=(l-(-/ ) 0.0088115.3 



(4,s)=(l-|y 

 (4, 5 )=(l-j-/ 



log. 5.9740497 ; 



log. 7.6245464; 



log. 7.9450513; 



log. 7.4917417; 



log. 0.8690189 ; 



log. 8.8794563 ; 



log. 8.3805175. 



log. 5.0493193 ; 



log. 6.6917912; 



log. 7.0018244; 



log. 6.5180955; 



log. 1.2611999; 



log. 9.4444852 ; 



log. 8.8372088. 



log. 93.9862386 ; 



log. 95.6261830; 



log. 95.9329689 ; 



log. 95.4401214; 



log. 99.9718878; 



log. 0.1447357; 



log. 99.6367457. 



). 0".0000002.0168 log. 93.3046628 ; 

 ). 0.0000087.926 log. 94.9441177; 

 ). 0.0000177.94 log. 95.2502770 ; 

 (7,3)=(14-^"' ). o .0000056.975 log. 94.7556866; 



log. 99.2530232; 



log. 99.3175335; 



log. 99.4168199. 



In like manner formulas (25) and (8) will give the following values of 



.0031027.1 

 7 .3963746.3 

 .0757628.5 

 .0240169.3 

 0".0000112.0 

 .0004918.0 

 .0010042.1 

 ( 5 ,3)=(l_)- ft '" ). 0.0003296.8 

 (5,4)=:(l-|-^ jr ).18 .2473541 

 (,<>)=(l-h* TJ )- 0.2782820.5 

 "). 0.0687398.9 



). 0".0000009:688 



). 0.0000422.85 



). 0.0000856.98 



). 0.0000275.50 



'). 0.9373198.2 



). 1.3955188.2 



'). 0.4332570.2 



). 0.1790701.5 

 (7,)=(14. #t ' r ). .2077464.0 

 ). 0.2611078.3 





7i]=(l+^ ).1".926868 

 Ts]=(l-f/i' ).0. 4087579 

 78l=(l-j-p* ).0. 008812816 

 I]=(l-)_/ r ).0. 1489646 

 ).0. 00391854 

 ).0. 0000336068 

 -0- 00000741495 



).0."1129820 

 )-5. 520785 

 ).0. 0587105 



[Hl]=(l+ i a iy ).0. 7286137 

 QT3=(l+ i i t 1 ' ).(). 0188385 

 QT3=(l-j-ft w ).0. 00016069 



.0. 0000354172 



log. 0.2848519; 

 log. 99.6114662; 

 log. 97.9451147; 

 log. 99.1730832; 

 log. 97.5931242; 

 log. 95.5264270; 

 log. 94.8701084. 



log. 99.0530090 ; 

 log. 0.7420008; 

 log. 98.7687157; 

 log. 99.8624973 ; 

 log. 98.2750461 ; 

 log. 96.2059893; 

 log. 95.5492142. 



July, 1871. 



