Astronomical Applications Department, U.S. Naval Observatory lyap2 Page 5
true anomaly 40 deg, and the semimajor axis
ranged from 0.659 to 0.750 a
J
. Aside from the
semimajor axes, these particular values were
arbitrarily chosen. The eccentricity of the pri-
maries was e
2
= e
J
. The maximum length of the
integrations was 10
6
Jovian years (~12 Myr),
and an event was presumed to have occurred if
r
Sun
> 1.1 a
J
(5.73 AU) for more than one
Jovian year. The larger mass ratio allowed per-
turbations to develop faster and therefore
quicker acquisition of results.
Chaotic Motion in the Outer Asteroid Belt
page 4
Jupiter: M = 135.417073, i = 1.303713,
= 100.382152,
= 273.819181, e = 0.04848169,
a = 5.21021558,
= 137.300833
88.26
162.82
3
0.66
0.1
109.27
156.05
3.54
144.44
Cybele
65
296.09
247.8
2.77
0.66
0.08
311.08
247.02
1.59
181.74
2702
5.59
11.88
19.59
0.66
0.03
1.91
29.54
19.98
277.93
Abastumani
1390
312.72
204.71
10.84
0.66
0.06
319.15
212.59
10.28
28.19
Ellicott
2196
332.29
128.01
5.41
0.66
0.07
340.07
134.48
6.44
211.55
James Bradley
2634
171.39
326.29
7.88
0.66
0.03
162.48
349.32
7.32
23.95
4236
294.27
55.32
6.39
0.66
0.14
289.17
74.59
7.54
126.25
Hermione
121
162.02
163.14
6.00
0.66
0.12
173.45
165.97
6.42
169.49
Huberta
260
289.02
167.34
9.64
0.67
0.08
296.52
174.15
9.92
260.39
Camilla
107
159.77
219.28
6.59
0.67
0.15
169.27
224.04
5.78
42.47
Devota
1328
276.41
56.14
9.72
0.67
0.08
272.95
73.75
10.87
10.11
Sylvia
87
352.41
59.27
4.23
0.67
0.05
346.15
79.71
5.42
351.61
Pushkin
2208
307.65
43.04
18.47
0.67
0.09
304.97
59.78
19.44
19.55
Merapi
536
328.01
98.97
8.30
0.67
0.08
329.74
111.46
9.58
257.68
Liriope
414
123.54
275.54
4.26
0.67
0.06
119.46
293.81
2.98
215.01
Omarkhayyam
3095
227.04
136.01
17.97
0.68
0.10
230.13
147.28
18.84
85.56
Ulla
909
256.66
235.33
15.5
0.68
0.05
259.35
246.93
14.4
186.5
Meyer
1574
257.9
56.16
9.22
0.68
0.10
254.27
73.93
10.37
113.58
1990WK
6.97
348.43
10.98
0.68
0.11
0.11
9.37
10.88
238.78
Herodotus
3092
7.66
16.83
7.79
0.68
0.12
359.22
39.39
8.34
328.98
Tabora
721
119.77
260.95
4.89
0.68
0.09
121.67
273.26
3.59
82.78
Albina
2697
153.29
190.03
2.16
0.69
0.11
187.71
169.84
2.24
234.52
Kempchinsky
2932
242.22
110.14
3.23
0.70
0.08
249.06
117.52
4.45
355.81
Helga
522
171.04
153.67
6.02
0.70
0.05
181.53
157.45
6.63
218.11
El Leoncito
2311
215.15
150.36
9.01
0.72
0.08
222.17
157.64
9.65
297
Oda
1144
'
'
i'
a/a
J
e
i
M
Asteroid
Table I.
Initial orbital elements of the 25 outer-belt asteroids with respect to the equator and
equinox of 2000.0 and at epoch JD 2448601.0 = 10 Dec. 1991. Primed elements are with
respect to the Jovian orbital plane.
