THE GENERAL PERTURBATIONS OF THE MINOR PLANETS. 161 
LW sae u 
: W —. 
ndt cost 
Lh Bor eaY Ve RAE S : = 
mG) of sin cos cos sin | COs sin 
i ” " A Tima 1 E i wi 
1 38—5 =— iovily —- 21195 se Tae — 156 + .165 46 
—l 3—5 + 011 + 017 —  .009 SE 04 — .001 el 
1 4—5 — 24.846 +1.626 + 11.080 + 722 — 015 == 02 
1 4 5 030 — .072 + .013 — .032 | —- .016 00 
a 5 — 5 — 2473 — 194 + .160 — .060 | —— 025 — (05) 
—l 5 — 5 -+ 306 — .080 —  .110 — 0294 | G4: —=  ,llis 
1 6—5 —  .089 + .160 - 021 + .038 | 
=I 685 = IRir = §58 Sei aL 180 | 
—l 5 + 1.413 + .036 == 2 + .007 | 
| | 
1 4—6 a 964 + .124 = py + 07 | 
1 5 — 6 — 13.228 1.090 Se ei f5x5)5) + .38 | 
—l 5 — 6 — 167 + .023 -- 057 + .06 
1 6 — 6 — .946 — .002 —- 242 00 
—l 6 — 6 — %.098 — .040 -- .038 — .01 
1 7 6 3.302 —- .824 + 674 —— .09 
The part of W independent of y arising from the factor, — 3, in the value of 
A, has not yet been given. Its integral, or f= oa cr is the following: 
dg 
S = 8a) 
GG! cos sin 1 Of GF Cos sin 
1—@ | + 3.1399 aL ‘8181 lik tas 3 — 2.74 jullie 
== 0) SRE! Sear Say es al — 08 
3=0 | = (eas = aes 
Qa | = 48 
ee he 51 Ae OH | eA iy =13 
L=—i | —39 = 0) A—f | S164 =P 91 
Oey = 9.33 J Read | = 168 +.05 
al = 204 — .22 || 6-4 | — .08 —.03 
| 
p= 9 +41,934 JE 0) | 3— 5 |= Aen a6 
Qs 9 Teo —2s8 | 2=—5 | = 29 —.06 
2 9 |) = 48 4k Bl Rf = YA) —.50 
49) — 10 = 19 6—5 | = 86 ALD 
1— 3 | 20,0020 =e] 2—6@ | — 07 +.05 
Q— 2 | — IAB = Md 5— 3 = 68 —.04 
3123 5 8846 —1.57 || 6—6 | — 3.35 2 
A. P. S.— VOL. XIX. U. 
