ORBIT ELEMENTS OF COMET f 1896 (PERRINE). 87 
tion, than that usually supplied by most writers, is given by the 
following— 
cos « cos 6 = cos \ cos Pf. 
The latitude of the sun has been considered, by applying a cor- 
rection to the latitudes of the comet, computed from the formula 
dp = - BhowP 
in which R& denotes the radius vector of the earth, Z the latitude 
of the sun, and A the distance of the comet from the earth. These 
corrections being applied, the various formule used in the solution 
of the problem are somewhat simplified. 
The longitudes of the sun, also the radii vectores of the earth 
have been interpolated from the American Ephemeris and Nautical 
Almanac for the given dates, the longitudes being referred to the 
same plane. 
The comet’s mean anomalies and radii vectores, together with 
the logarithm of the distance from the earth at the first date, 
ve been computed with Dr. Knopf’s elements, and are to be 
considered as approximate quantities. 
The complete data employed in the discussion are therefore as 
ollow— 
— 00 4 =3802 8 5526 B+27 13 39°73 
t= 100-0. A,=291 25° 1°48 B.—-13 36 54°64 
ts= 140-8875 Ay= 210° 2 2192 B,;-64 56 12-90 
© =248 50 28:26 Log. R =9-9937815 
©,=350 12 17:90 » By=9-9972915 
©;= 30 32 0°73 ,», #;=0-0022991 
Approximate Values. 
v=-68 7 59 Log. r =0°1897610 
M=+35 34 7 9 %,= 0°0687598 | 
%=+68 29 50 » 73 =0°1916340 
Log. A = 0°:2617790 
Tn obtaining the ratio of the curtate distances of the comet, the 
‘Complete expression for the purpose has been employed, thus—- 
