NEW FORMULA RELATIVE TO COMETS. 



291 



Preliminary Quantities for (A). 



f =9 0922228 



^"=8-9154514 



f_^"=8-6164587 



p = 7-9403288 

 ^ = 0-0062710 

 a=+48'46" 



a + l'—L= — i2055'51" 

 « + /— L=— 51 57 15 

 a+Z"—L=— 65 29 44 



s = 9-9937738 



The numbers in this and the following are sufficiently distinguished 

 from the logarithms by the prefixed signs + and — . 



From Computation of Formulae (A). 



Values qfX., Y,. 



p cos a — qsva. a 

 — -0087163 — -0143914 

 X, = — 0231077. 



p ^va. a + q cos a 



— -0001236 + 1 0144421 



Y, = + 1-0143185. 



Values of A, A', A", &c. 



^'y—^'Y 



^"y-i3y" 



^y'-^'y 



-0398195 + -4722050 



— -3208804 + 0460401 



—•4086707 + -2401851 



A = + -4323855. 



A' = — -2748403. 



A" = — 1684856. 



At' At" Aft" 



Aa 



8-7280941 8-5513227 7-64354^ 



J5 +-2664756 



^AV A"a"^ 

 P VAt" - At' ) 



fA'^' _A"^"s 

 ^\At" At' J 



/Ay A'V". 



^ \ At" ~ At' J 



0-7523734; 0-1162696 



0-7209781; 0-4574862 



0-6028708; 9 2653444 



—5-654229+ 1-306982 



+5-259907 — 2-867386 



—4007474 + 0-184223 



— p (4-347247). 



+ p (2-392521). 



— p (3-823251). 



We have supposed in this computation that the factors n, ft', &c. are 

 each unity. But if we take for greater precision the distance r = 1, 



log/[t"= 9-9990181; log ft'= 9-9977807; log /i= 9 9992627; log?/ =9 9985244, 

 VI. — 3 X 



