130 
ON THE ORBITS OF THE ASTEROIDS. 
Le Verrier in the second volume of his Annales de l' Observatoire. They are condensed 
into the following tables. The quantities omitted are presumed to be insensible. 
Some of them are known to be so; the remainder are certainly very small, and no data 
for their computation are given by Le Verrier or any other writer. 
n N; Ne AN P. d A I 
0 --.00048 +.00053 +.0007 +.003057 4.00274 +.031 
1 +.01679 +.01661 +.0191 +.042675 +.03334 —.048 
2 —.00038 4.00237 4.0152 —.015509 +.04831" |  —.002 
3 +.01689 +.01062 +.0017 —.000020 —.00002 pd: 
4 —.02383 —.01892 —.0033 --.000012 --.00001 
5 —.01301 +.01178 +.0292 —.000001 —.00001 
6 -]-.01534 —.01691 --.0730 —.000001 —.00001 
1 iv ee M +.000095 +.00011 
n M; M! Mu MN" My MY My" 
1 | +.0025 | +.0023 | +.0017 | +.001159 .00093 | —.0176 
2 | +.0003 0027 | +.0093 | —.006306 .01580 
3 | +.0209 | +.0146 | +.0030 | —.000040 | —.00005 T 
4 | +.0099 | +.0083 | +.0018 | —.000011 | —.00002 TEP 
| 5 | —.0075 | +.0054 | +.0485 | —.000002 | —.00002 baa 
6 | +.0244 | —.0243 | -+).0338 ies siis bas as 
7 dés SSES oue —.001514 | —.00145 ina +.0111 
From these data we find the following values of Ep E,, &c., I, h, &c., and b. 
a E, E, E; E; E, E; E, E, 
2.2 0.0502 | +0.7012 | —0/2301 | 40/0022 | —0.0041 | +0.0055 | --0.0089 | mme 
2.4 | +0.0670 | +0.9341 | —0.3116 | +0.0011 | —0.0024 | +0.0030 .0045 | +0.0021 
2.6 | +0.0890 | +1.2394 | —0.4173 | +0.0005 | —0.0014 .0018 | --0.0025 | -1-0.0028 
2.8 | +0.1179 | +1.6413 | —0.5568 | —0.0001 | —0.0007 .0011 | +0.0016 | +0.0037 
3.0 | +0.1564 | +2.1768 | —0.7431 | —0.0005 | —0.0002 .0007 | +-0.0010 | +0.0049 
3.2 | +0.20 5| +2.9030 | —0.9974 | —0.0010 | --0.0002 | +0.0005 | +0.0006 | Lane 
a I, I, I, I, I L I, b 
2.2 | +0.0379 | —0:1753 | --0-0052 | +0.0031 | +0:0095 | +0:0023 | —0/0486 | 39'%15 
2.4 | +0.0460 | —0.2192 | +0.0029 | +0.0020 | +0.0054 | +0.0008 | —0.0599 | 40.097 
2.6 | +0.0564 | —0.2733 | +0.0012 | +0.0012 | +0.0034 | -L0.0003 | —0.0738 | 49909 
2.8 | +0.0695 | —0.3456 | —0.0001 | +0.0006 | +0.0022 | +0.0001 | —0.0913 | 60724 
3.0 1 —0.4209 | —0.0012 | +0.0001 | +0.0015 | +0.0001 | —0.1138 | 75519 
32 .1089 | —0.5467 | —0.0024 | —0.0003 | +0.0010 | 0.0000 | —0.1432 | 94949 
In the computations of the quantities E and J, we have a test of their accuracy, 
because they ought to fulfil the conditions. 
E, + E, + eee [01] (Not IN. + ....) + [02] (N+ I, 4E...) +80, 
L+h +ht+-.--= (0,1) (Mit M+...) (02) UL Mat...) + ke. 
