Jupiter's Satellites

Publication information:

Jupiter’s Satellites.

Abstract

Static model of satellite orbits.

What it shows:

Static 3-D model showing the orbital paths of Jupiter's satellites.

How it works:

The model marks the orbital paths of the Jovian satellites to a scale of 1.5cm = 106 km. This scale allows the orbit of the outermost satellite Sinope to fit within a 1m × 1m plywood base. The orbits of the outer 8 satellites are marked using loops of 2mm × 1mm spring steel supported to their correct heights by 5mm Plexiglas rods (Pasiphae rising to the greatest height of 42cm). The Galilean satellites, because of their near zero inclination and small orbital radius, are represented as circles etched on a 10cm diameter Plexiglas disc at the center of the board, 20cm above the base. The inner four satellites are not represented. Table 1 includes the necessary data.

table 1. Jovian satellite data (reference 1)

satellitedistance rJeccentricityinclination (deg.)
14 Adrastea1.80~0.0~0.0
16 Metis1.80~0.0~0.0
5 Amalthea2.550.0030.4
15 Thebe3.11~0.0~0.0
1 Io5.950.0040.0
2 Europa9.470.0000.5
3 Ganymede15.10.0010.2
4 Callisto26.60.0100.2
13 Leda1560.14626.7
6 Himalia1610.15827.6
10 Lysithea1640.13029.0
7 Elara1650.20724.8
12 Ananke2910.17147
11 Carme3140.21164
8 Pasiphae3270.38145
9 Sinope3330.25153

* relative to Jupiter's radius = 71350km

Setting it up:

Sits on the lecture bench, but could also be mounted on a turntable to present various aspects to the audience.

Comments:

Model was built by Jan Zimmerman '80 for class project.

References:

1. K. R. Lang, Astrophysical Data: Planets & Stars, (Springer-Verlag 1991), p 70


Full text

Static model of satellite orbits.

What it shows:

Static 3-D model showing the orbital paths of Jupiter's satellites.

How it works:

The model marks the orbital paths of the Jovian satellites to a scale of 1.5cm = 106 km. This scale allows the orbit of the outermost satellite Sinope to fit within a 1m × 1m plywood base. The orbits of the outer 8 satellites are marked using loops of 2mm × 1mm spring steel supported to their correct heights by 5mm Plexiglas rods (Pasiphae rising to the greatest height of 42cm). The Galilean satellites, because of their near zero inclination and small orbital radius, are represented as circles etched on a 10cm diameter Plexiglas disc at the center of the board, 20cm above the base. The inner four satellites are not represented. Table 1 includes the necessary data.

table 1. Jovian satellite data (reference 1)

satellite
distance rJ
eccentricity
inclination (deg.)
14 Adrastea
1.80
~0.0
~0.0
16 Metis
1.80
~0.0
~0.0
5 Amalthea
2.55
0.003
0.4
15 Thebe
3.11
~0.0
~0.0
1 Io
5.95
0.004
0.0
2 Europa
9.47
0.000
0.5
3 Ganymede
15.1
0.001
0.2
4 Callisto
26.6
0.010
0.2
13 Leda
156
0.146
26.7
6 Himalia
161
0.158
27.6
10 Lysithea
164
0.130
29.0
7 Elara
165
0.207
24.8
12 Ananke
291
0.17
147
11 Carme
314
0.21
164
8 Pasiphae
327
0.38
145
9 Sinope
333
0.25
153

* relative to Jupiter's radius = 71350km

Setting it up:

Sits on the lecture bench, but could also be mounted on a turntable to present various aspects to the audience.

Comments:

Model was built by Jan Zimmerman '80 for class project.

References:

1. K. R. Lang, Astrophysical Data: Planets & Stars, (Springer-Verlag 1991), p 70