EVERAL
sketches were used to find the right pattern which we cannot show here all. You
should switch on your computer and, if available, run the "Dance of the
Planets" program. (We would like to stress that we do not advertise for this program
here, but it was the one we used for our investigations in 1993. Of course, it is out of date in 2016 since it is an old DOS-program.) If you do, please create a
"users database" with the planets of our system and the asteroids from the
program's own database as we have described in the text and look for the amazing patterns.
You can connect the planets and asteroids - according to Betty's map - for yourself. Nowadays (2016) there are much better programs available. But for historic reasons, we displayed our original sketches here.
With this database, we used the perspectives listed in Table 2. If you want to play
around, you may use the same perspectives as we did, the data are given below. Watch the
changes of the pattern as you change perspective. So it is obvious that only a specific
angle of sight has to be looked for to produce the final matching pattern - as Betty had seen it aboard the spaceship.
Table 2. Solar System |
| Date (dd.mm.yy) |
Time (UT) |
Solar Latitude |
Solar Longitude |
Notes |
| 20.09.61 |
01:00 am |
90° |
105° |
|
| 20.09.61 |
01:00 am |
30° |
105° |
With planetary orbits printed |
| 20.10.61 |
01:00 am |
30° |
100° |
With orbits printed |
| 20.10.61 |
01:00 am |
90° |
100° |
|
| 20.10.61 |
01:00 am |
30° |
95° |
With orbits |
| 20.10.61 |
01:00 am |
30° |
95° |
Without orbits, Hill pattern at its best! |
| " |
" |
" |
" |
As before, but with higher resolution |
| " |
" |
" |
" |
As before, but additionally with orbits |
| 20.10.61 |
01:00 am |
30° |
185° |
|
| 20.10.61 |
01:00 am |
30° |
185° |
With orbits |
| 20.10.61 |
01:00 am |
0° |
185° |
With orbits |
| 20.10.61 |
01:00 am |
30° |
0° |
With orbits |
| 20.10.61 |
01:00 am |
0° |
0° |
With orbits |
| 20.10.61 |
01:00 am |
0° |
310° |
With orbits |
| 20.10.61 |
01:00 am |
0° |
310° |
|
Table 3. The Asteroids in Betty Hill's Star Map on 20.10.1961 (1)
|
| Name |
Orbital Period (Earth Years) |
Distance to Earth/Sun (AU) |
Solar Longitude |
Solar Latitude |
Right Ascension (RA) |
Declination |
Magnitude |
Orbital Inclination |
Radius(km) |
| Pallas |
4.61 |
2.318/3.084 |
35° |
31° |
22h43'4" |
755 |
9.1 |
34.81° |
457 |
| Interamnia |
5.36 |
4.456/3.493 |
209° |
0° |
13h25'8" |
2253 |
12.3 |
17.30° |
167 |
| Europa |
5.46 |
3.748/2.928 |
166° |
53° |
11h53'3" |
437 |
12.1 |
7.44° |
156 |
| Psyche |
5.00 |
3.551/3.07 |
137° |
21° |
10h17'1" |
1001 |
11.9 |
3.09° |
132 |
| Daphne |
4.59 |
3.031/2.521 |
138° |
18° |
10h19'5" |
1017 |
12.5 |
15.78° |
91 |
| Pretoria |
6.29 |
4.100/3.924 |
119° |
38° |
8h49'5" |
225 |
14.8 |
20.55° |
88 |
Table 4. The Planets on 20.10.1961 (1) |
| Planet |
Orbital Period (Earth years) |
Mass (Earth masses) |
Distance to Earth/Sun (AU) |
Heliocentric Longitude |
Right Ascension |
Declination |
Magnitude |
| Mercury |
0.241 |
0.055 |
0.669/0.339 |
14°16' |
13h58'5" |
-14°12' |
2.3 |
| Venus |
0.615 |
0.805 |
1.502/0.719 |
147°59' |
12h11'2" |
0°28' |
-3.8 |
| Earth |
1.000 |
1.000 |
0.000/0.996 |
26°25' |
0h00 |
0°00' |
0.0 |
| Mars |
1.881 |
0.106 |
2.474/1.542 |
232°47' |
14h40'0" |
-15°39' |
1.5 |
| Jupiter |
11.862 |
314.031 |
4.949/5.082 |
20h02'8" |
-21°08' |
-2.4 |
| Saturn |
29.457 |
94.026 |
10.020/10.022 |
299°21' |
19h42'3" |
-21°38' |
0.3 |
| Uranus |
84.020 |
14.325 |
18.933/18.407 |
146°57' |
10h07'7" |
12°18' |
5.5 |
| Neptune |
164.78 |
16.944 |
31.343/30.379 |
220°58' |
14h34'6" |
-13°21' |
8.0 |
| Pluto |
247.220 |
0.002 |
34.287/33.633 |
158°08' |
11h04'1" |
19°47' |
14.3 |
NOTES:
- Tables 2, 3, and 4 were done with the databases of "The New
Solar System" and "Dance of the Planets.