Astronomical Applications Department, U.S. Naval Observatory lyap2 Page 7
L
=270 T
J
and T
e
=323,000 T
J
. The age of the
solar system, T
SS
= 3.78x10
8
T
J
= 4.5 Gyr, cor-
responds to a residual of log T
SS
- log T
e
= 3.07
= 3.13
. We claim that this apparently small
value of T
L
, and the corresponding T
e
, is not in
significant conflict with objects still being pre-
sent after a time of order T
SS
. One could argue
that (260) Huberta belongs to the tail of a
population distributed around the mean defined
by eq. (1). Knowledge of thus prevents a seri-
ous misinterpretation of T
L
.
Our values for
are lower limits; the longer
the asteroids remain in their present orbits, the
more significant will be their deviation from the
mean relation eq. (1). If our interpretation is
Chaotic Motion in the Outer Asteroid Belt
page 6
15:8
3.03
A
0.41
299
Cybele
65
15:8
1.4
A
16.21
2,463
2702
****
<0.86
C
>54.75
>5000
Abastumani
1390
15:8
<1.19
B
>25.95
>3200
Ellicott
2196
13:7
<1.08
B
>33.02
>3700
James Bradley
2634
13:7
1.29
A
20.79
2,841
4236
13:7
1.11
A
30.98
3,571
Hermione
121
13:7
3.1
A
0.34
270
Huberta
260
11:6
1.21
A
24.82
3,145
Camilla
107
20:11
3.06
A
0.38
287
Devota
1328
20:11
<0.48
C
>128.27
>8100
Sylvia
87
20:11
<0.94
B
>45.03
>4400
Pushkin
2208
20:11
1.3
A
20.28
2,801
Merapi
536
20:11
<1.24
C
>23.02
>3000
Liriope
414
20:11
<0.86
C
>54.29
>4900
Omarkhayyam
3095
16:9
<1.37
B
>17.31
>2600
Ulla
909
16:9
1.08
A
33.22
3,717
Meyer
1574
16:9
1.37
A
17.38
2,564
1990W
16:9
1.41
A
15.73
2,421
Herodotus
3092
16:9
1.45
A
14.37
2,299
Tabora
721
16:9
<1.40
B
>16.07
>2500
Albina
2697
12:7
<1.62
B
>9.86
>1900
Kempchinsky
2932
12:7
<1.27
B
>21.74
>2915
Helga
522
12:7
2.76
A
0.75
422
El Leoncito
2311
13:8
<1.50
B
>12.75
>2100
Oda
1144
resonance
T
e
(10
6
)
T
L
Asteroid
Table II.
Results of 25 outer-belt asteroid integrations. Times are in
Jovian orbital periods. See text for the meaning of
. Final column lists
the most significant resonance encompassed by the observed range in
semimajor axis (see text).
