THE GENERAL PERTURBATIONS OF THE MINOR PLANETS. Wi hs 
CHAPTER YV. 
Numerical Kxample Giving the Principal Formule Needed in the Computation 
Together with Directions for their Application. 
ALTH HA 119. JUPITER. 
g = 332° 48’ 53.2 G4 = 63.9 on 48.6 
a le 542) wm =12 36 59.4 | 
= 203" bol: 1894.0 Y =o 22 1894.0 
*= 5 44 46 | (roll) 
@¢= 4 36 249 go = 2)7 45) 50-2 
nm = 855’.76428 nm’ = 299” 12834 
log n = 2.9323542 log n’ = 2.4758576 
log a = 0.4117683 log a’ = 0.7162374 
The epoch is 1894 Aug. 23.0. 
The elements of Jupiter are those given by Hitt in his New Theory of Jupiter 
and Saturn, in which the epoch is 1850.0. Applying the annual motion of 57.9032 
in x’, of 36’.36617 in &’, to Hriw’s value of z’, and of 9’, we have the values given 
above. The mass of Jupiter is ;>57/ 575. The elements of Althzea are those given 
in the Berliner Astronomisches Jahrbuch for 1896. The ecliptic and mean equinox 
are for 1890. ‘To reduce from 1890 to 1894 we employ the formule of WATSON in 
his Theoretical Astronomy, pp. 100-102. 
v=it+ 7 cos (Q— 9) 
Q=Q+ UU —t) “ — 7 sin (Q —8@) cot .2 
dl ; 9 
nm =n+ (¢—t)> +nsin (2— 6) tau $2 
