ON THE ORBITS OF THE ASTEROIDS. 137 
Pomona. @3 
h = .0019 sin (0) + .0272 sin (1) — .0159 sin (2) + .0001 sin (6) + .1157 sin (189° 52’ + 487.66 t) 
Z = .0019 cos (0) + .0272 cos (1) — .0159 cos (2) + .0001 cos (6) + -1157 cos (189° 52’ + 48".66 t) 
p = M sin y + .0012 sin [1] —.0123 sin [2] + .0001 sin [5]+.0015 sin [7] +.1080 sin (228° 37/— 48".66 t) 
q = M cos y + .0012 cos [1] — .0123 cos [2] + .0001 cos [5] -- .0015cos [7 ] +.1080cos (228° 37/— 48".66 1) 
Circe. 
h = .0020 sin (0) + .0280 sin (1) — .0152 sin (2) + .1379 sin (156° 58’ + 53".97 t) 
| = .0020 cos (0) + .0280 cos (1) — .0152 cos (2) + .1379 cos (156° 58’ -+ 53.97 £) 
p= M sin y +.0012 sin [1] — .0110 sin [2] + 0001 sin [5] —.0015 sin [7] +-.0975 sin (196° 39— 53".977 t) 
q = Mcos y + .0012cos[1]—.0110cos[2] + .0001 cos[5]—.0015 cos [7] + -0975 cos (196° 39’— 53.97 2) 
Fides. (7 
À — .0019 sin (0) + .0277 sin (1) — .0155 sin (2) + .1625 sin (75° 58’ + 51^.55 1) 
l = .0019 cos (0) + .0277 cos (1) — .0155 cos (2) + .1625 cos (75° 58' + 517.55 1) 
p = M sin y + .0012 sin [1] — .0115 sin [2] + .0001 sin [5] — .0015 sin [7] +-.0555 sin (349? 37/.— 517.55 D 
q = M cosy + .0012cos[1] — .0115cos[2] + .0001cos[5] — .0015 cos [7] + .0555 cos (349? 37/— 51".55 t) 
Leda. (8 
h = .0020 sin (0) + .0284 sin (1) — .0150 sin (2) + .1630 sin (111° 43' + 56".97 t) 
1 = .0020 cos (0) + .0284 cos (1) — .0150 cos (2) + .1630 cos (111° 43’ + 56".97 t) 
p = Msin y + .0012 sin [1] — .0105 sin [2] 4- .0001 sin [3] + .0015 sin [7] + .1393 sin (294° 5/ — 56".97 t) 
q = Mcos y + .0012 cos [1] —.0105cos[2] + .0001 cos[3]+-.0015cos [7] +.1393 cos are 567.97 t) 
Letitia. (9 
h = .0020 sin (0) + .0286 sin (1) — .0148 sin (2) + .0766 sin (359° 4% -+ 587.80 2) 
1 = .0020 cos (0) + .0286 cos (1) — .0148 cos (2) + .0766 cos (359° 42’ -+ 58".80 £) 
p = Msin y +.0012 sin [1] —.0102 sin [2] 4.0001 sin [5] —.0015 sin [7] +-.1720 sin (163° 59— 58/,80 2) 
q = Mcos y + .0012 cos[1]—.0102 cos [2] + 0001 cos [5] —.0015cos [7] --.1720 cos (163° 59'— 58".80 t) 
Harmonia. (9 
= .0017 sin (0) + .0247 sin (1) — .0208 sin (2) — .0001 sin (4) + .0003 sin (5) + .0005 sin (6) 
| + .0126 sin (25° 27 + 35/.09 1) ` S 
] = .0017 cos (0) + .0247 cos (1) — .0208 cos (2) — .0001 cos (4) + .0003 cos (5) + .0005 cos (6) 
+ .0126 cos (25? 27/ + 35/.09 t) | 
p= M sin y + 0013 sin [1] — .0223 sin [2] + .0001 sin PE .0001 sin [4] + .0005 sin [5] 
+ .0001 sin [6] — .0015 sin [7] + .0656 sin (99° 41' — 35/.09 1) 
q = Mcos y + .0013 cos [1] — .0223 cos [2] + .0001 cos [3] + .0001 a, + .0005 cos [5] 
+ .0001 cos [6] — .0015 cos [7] + .0656 cos (99° AU — 35.09 1) 
From the preceding expressions, we easily deduce the following conclusions : — 
1. Harmonia is the only asteroid, among those whose elements are well determined, 
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VOL. VIII. 
