134 ON THE ORBITS OF THE ASTEROIDS. 
p= M sin y + .0013 sin [1] — .0176 sin [2] + .0001 sin [3] + .0001 sin [4] + .0003 sin [5] — .0015 sin 
[7] + -1123 sin (107° 5' — 38”.56 1) 
q = M cos y + .0013 cos [1] — .0176 cos [2] + .0001 cos [3] + .0001 cos [4] + .0003 cos [5] — .0015 cos 
[7] + -1123 sin (107° 5’ — 38".56 t) 
Astrea. ©) 
h = .0019 sin (0) + .0271 sin (1) — .0160 sin (2) + .0001 sin (6) + .2146 sin (140° 31' -+ 48.703 £) 
| = .0019 cos (0) + .0271 cos (1) — .0160 cos (2) + .0001 cos (6) + .2146 cos (140° 31’ + 48.03 1) 
p = Msiny-+-.0012 sin [1] —.0125 sin [2] + .0001 sin [5] —.0015 sin [7] + .0830 sin (151° ae 48.032) 
q = Mcosy--.0012 cos [1] —.0125 cos [2] +-.0001 cos [5] — .0015 cos [7] + .0830 cos (151° 38’'— 48".03 t) 
Flora. 
h = .0017 sin (0) + .0242 sin (1) — .0230 sin (2) — .0002 sin (4) + .0003 sin (5) + .0006 sin (6) 
+ .1823 sin (43? 27' + 32.86 1) 
| = .0017 cos (0) + .0242 cos (1) — .0230 cos (2) — .0002 cos (4) + .0003 cos (5) + .0006 cos (6) 
+ -1323 cos (48° 97/-- 32.86 t) 
p= M sin y + .0013 sin [1] — .0280 sin [2] + .0002 sin [3] + .0006 sin [5] + .0002 sin [6] 
— .0015 sin [7] + .1021 sin (116° 37' — 32”.86 t) ` 
q = M cos y + .0013 cos [1] — .0280 cos [2] + .0002 cos [3] + .0006 cos [5] + .0002 cos [6] 
— .0015 cos [7] + .1021 cos (116° 37’ — 32".86 t) 
Metis. 
h = .0018 sin (0) + .0256 sin (1) — .0183 sin (2) — .0001 sin (4) + .0001 sin (5) + .0002 sin (6) 
+ .1187 sin (86° 19 + 39.52 1) 
l = .0018 cos (0) + .0256 cos (1) — .0183 cos (2) — .0001 cos (4) — .0001 cos (5) + .0002 cos (6) 
+ .1187 sin (86° 19’ + 39.52 t) 
p= Msiny +.0013 sin [1] —.0168 sin [2] + .0008 sin [5] —.0015 sin [7] +.0837 sin (67° 10’— 39".59 t) 
q = M cos; +.0013 cos [1] —.0168 cos [2] + .0003 cos [5] — .0015 cos [7] + .0837 cos (67° 10’— 39.522) 
Hygea. (0) 
h = .0022 sin (0) + .0315 sin (1) — .0139 sin (2) + .1307 sin (216° 7 + 88".95 t) 
| = .0022 cos (0) + .0315 cos (1) — .0139 cos (2) + .1307 cos (216? 7 + 881.95 t) 
p= M sin y + .0012 sin [1] — .0082 sin [2] — .0015 sin [7] + .0869 sin (286° 6’ — 88.95 t) 
= M cos y + .0012 cos [1] — .0082 cos [2] — .0015 cos [7] + .0869 cos (286° 6’ — 88.95 t) 
Parthenope. @) 
h = .0018 sin (0) + .0262 sin (1) — .0173 sin (2) + .0001 sin (5) + -0002 sin (6) + .0775 sin ` 
(298° 2 + 42".30 t) : 
| = .0018 cos (0) + .0262 cos (1) — .0173 cos (2) + .0001 cos (9) + .0002 cos (6) + .0775 cos 
(298° 2’ + 42”.30 t) 
p = Msin y +-.0012 sin [1] —.0148 sin [2] + .0002 sin [5] —.0015 sin [7] +.0694 sin (134° 7/— 42.30 t) 
q = Mcos y + .0012 cos [1] —.0148 cos [2] + .0002 cos [5] —.0015 cos [7] + .0694 cos (134° 7. — 42.301) 
