112 



JUPITER AND SATURN. 



9*0.5 = 



9*i..v 



9*3,5 = 

 9*4.5 = 

 9*5.5 = 

 9*6.5 = 

 9*7,5 = 

 9*8.5 = 



9*«,5= 



9*10,5 = 

 9*11.5 = 



9*i:',5 = 



:(D^'+D 

 :(D-+D 



= (D-' + D 



:(D^+D 

 :(D-'+D 

 :(D-+D 

 :(D^'+D 



:(D^'+D 

 :(D^' + D 

 :(D^+D 

 :(D^' + D 

 :(D^+D 



25*o,7 = (D-+D- 2)^, 



25 &, ,=:(D=^ + D- o) 6., , = (D2 + D- 6) Z)„ , 

 25 6„ , = (D2 + D— o) 63 , = (D2 + D-^i2) 6,' , 

 25 63 ; = (D2+D- 2) 6, , = (D2 + D-20) 6.,\ 

 25&,,, = (D2+D— 6) 6, , = (D2+D— 30) 63' 5 

 25 &s ; = (D2+D^i2) &,; , = (D2 + D— 42) 6, , 

 25 6« . = (D2 + D— 20) b. -, = (D- + D-^56) b, -, 

 25 & , , r= (D2 + D— 30) /^ J, , = (D2 + D— 72) 6 ,' , 



49*o.. = (D2 + D^6) b,, 

 49 &, „ = (D2 + D— 2) 6„ -=:(D-' + D— 12) ft, ,. 

 49 6.,'„ = (D2 + D— o) &3 - = (D2 + D— 20) 6,'; 

 49&3„ = (D2+D— o) &;- = (D2+D— 30)6.,', 

 49 6, „ = (D2 + D— 2) 65 , = (D2 + D— 42) ^3' , 



We compute b„.^, b.,^, b^^^, etc., and D^^. 

 taneously, then b^.^, D^^,, , ,'etc., and so on. 



D2&,, = 1-566782 



D ^ I I = -808444 



1, D^fe,, , etc., simu^ 

 A type is : — 



*.).:i 

 2*,,, 



*-..,. 



Db.. 



6 6,., 

 D^'6,, 



2-375226 

 1-240932 



1-134294 

 0-395874 



0-738420 

 0-707353 



I -445773 



and so on. 



It is by these easy steps that the following table of Laplace- 

 coefficients has been made up. 



