442 -E. F. Burr on the Neptunian Theory of Uranus. 
Mass of Neptune, titer & rasto 
. - | -_0"-009525 | —0”006958 
: s 3 —1'-586088 —1"-158696 
Let us now assume that the hoot of Uranus may be comple- 
ted on the basis of certain small corrections of its elements and 
the action of Neptune. In forming the equations of condition 
between these corrections, the inequalities just given, and the re- 
sidual perturbations, it is necessary to take account of the second 
term of the equation of the centre. This has been done. Let 
de, On, de, dw, denote. respectively the corrections of the epoch, 
he e mean motion, | the eccentricity and, the mean anomaly of the. 
epoch, 
~ _p = Mean Anomaly of rani 
A = 2e.cosp+%. pe heres g 
“ = 2sinp+$.e.sin 2p. 
= distutbing éffect of Neptune: 
then the general acne perturbation of true heliocentric longitude 
— de+(1-LA). dn. t4-B.de-LA. do-LP. 
From this general formula have been derived the following equa- 
tions of condition, in which the ae represent their correspond- 
ing residual perturbations. 
ciaiad man 
Or LAB i, ors 
(1715- 17) =3e— 34-427 dn-L0- 0998 de+- 09854 5S/'m— 4030” . 8m” 
(1753: Fle a 16° 976 5n--0- 3515 de — 08636 0’w — 6145” . 1m” 
14-080 dn — 09516 de— -07676 So 6200” . Om’ 
(1771-95 \—de— — 12-112 On— 1°7375 de— 104178 5’o—59 18” . 9m” 
296 apni: 9228 3294 5063” . 
5 /m—3957" . Sm” 
nr ~ | e- 70 0’a—4278"", Tm" 
ie de+ -0 cer Bri-»-4529 1 Bm! 
- 2.0028 Sbe— o—A777" . Lm 
1QOR.KL s : a 56 Se ers J'w—5028” , 2m"! 
(1825 °F - 4°784 On ue ‘718)} de— - 04329 da toh 27 70” . 4m!" 
(1828-55 )=de+ 5-646 dn-+-1- 4559 de— -05905 0'w—5495" . Sm!” 
8346 
(1837-65 )—=0e4. 8-225 dn-L0-3986 de— -08604 d’u-—=6022". Om! 
(1840°69)=3e-} 91122 dn—0-0108 de—- 08779 Ym —6140", 6m! 
= 
It has not been judged necessary to deteraiaun as aoe pes 
turbations of these equations by a critical revision of the 
