ON THE ORBITS OF THE ASTEROIDS. 135 
Irene. @ 
h = .0019 sin (0) + .0272 sin (1) — .0159 sin (2) + .0001 sin (6) + .1990 sin (178° 57' + 48".68 t) 
Z = .0019 cos (0) + .0272 cos (1) — .0159 cos (2) + .0001 cos (6) + .1990 cos (178° 57' + 48".68 t) 
p = Msiny+-.0012 sin [1] — 0123 sin [2] + .0001 sin [5] — .0015 sin [7] + .1407 sin (86° 57 — 48.681) 
q = Mcosy + .0012 cos [1] — 0123 cos [2] + .0001 cos [5] — -0015 cos [7] + .1407 cos (86° 57 — 48.”68 t) 
Psyche. 
h = .0022 sin (0) + .0298 sin (1) — .0143 sin (2) + -1013 sin (13° 37 + 69."35 t) 
L = .0022 cos (0) + .0299 cos (1) — .0143 cos (2) + .1013 cos (13° 37’ + 69.35 t) 
p = M sin y + .0012 sin [1] — .0092 sin [2] — .0015 sin [7] + .0453 sin (173? 21 — 69".35 t) 
q = M cos y + .0012 cos [1] — .0092 cos [2] — .0015 cos [7] + .0453 cos (173° 21' — 69,35 1) 
Thetis. @) 
h = .0018 sin (0) + .0263 sin (1) — .0171 sin (2) + .0001 sin (5) + .0002 sin (6) + .1368 sin 
(244° 30’ + 43".22 t) 
l = .0018 cos (0) + .0263 cos (1) — .0171 cos (2) + .0001 cos (5) + .0002 cos (6) + .1368 cos 
(244° 20 + 43.22 t) 
p= M sin y + .0012 sin [1] —.0143 sin [2] + .0002 sin [5] — .0015 sin [7] + .0858 sin (132? 57 — 43.29 t) 
q = AM cos y+ .0012 cos [ 1] —.0143cos [2] +-.0002 cos [5] — .0015 cos [7] + .0858 cos (132° 57’ — 43.22 t) 
Fortuna. (9) 
h = .0018 sin (0) + .0261 sin (1) — .0174 sin [2] + .0001 sin (5) + .0002 sin (6) + .1302 sin 
(37° 23 + 41".84 2)} 
1 = .0018 cos (0) + .0261 cos (1) — .0174 cos [2] -+ .0001 cos (5) + .0002 cos (6) + .1302 sin 
(37° 23" + 41".84 t) 
p = M sin y + 0012 sin [1] —.0151 sin [2] + .0002 sin [5] —.0015 sin [7] +.0383 sin (230° 34/— 41".84.) 
q = M cos y + .0012cos[1] —.0151cos [2] +-.0002cos[5] —.0015cos[7] -++-.0383 cos (230° 34/ —41".84:) 
Massilia. Gg 
h — .0018 sin (0) + .0258 sin (1) — .0179 sin (2) + .0001 sin (5) + .0002 sin (6) + .1535 sin 
(110° 11’ + 40".49 2) 
1 = .0018 cos (0) + .0258 cos (1) — .0179 cos (2) + .0001 cos (5) + .0002 cos (6) + .1535 sin 
(110° 11’ + 407.19 2) | 
p= M sin y +.0012 sin [1] —.0159 sin [2] + .0002 sin [5] — .0015 sin [6] + .0238 sin (237° 58—40",49 t) 
q = M cosy +.0012cos [1] —.0159 cos [2] + .0002cos[5] — .0015 cos [6] +-.0238 cos (237° 58'— 40".49 t) 
Lutetia. @ 
h = .0018 sin (0) + .0260 sin (1) — .0176 sin (2) + .0001 sin (5) + .0002 sin (6) + .1342 sin 
(318° 48' + 41".56 t) i 
1 = .0018 cos (0) + .0260 cos (1) — .0176 cos (2) + .0001 cos (5) + -0002 cos (6) + .1342 cos 
(318° 48’ + 41.56 t) 4 g 
p= M sin y +.0012 sin [1] — .0152 sin [2] 4.0002 sin [5] — .0015 sin [6] + .0384 sin — =m .56 t) 
q = M cosy +.0012 cos [1] — .0152 cos [2] + .0002 cos [5] — .0015 cos [6] +.0384 cos (79° 54'— 41".56 t) 
