6-Planet Mini Planetarium
Print Profile(1)

Description
A minimalist hand-driven planetarium that turns the six classical planets — Mercury, Venus, Earth, Mars, Jupiter, and Saturn — at astronomically accurate relative speeds. 10 cm wide, 5 cm tall. A desk piece that models the solar system (as it was known in the 1700s!).
Why only 6 planets?
I came across a gear train for a planetarium that was designed by Scottish astronomer James Ferguson in the mid-1700s. At the time, Uranus and Neptune had not been discovered. His design used a single stacked gear to drive 6 planets, and I thought it was cool! In order to print it however, I had to include a dedicated connector gear for Jupiter-Saturn, as the teeth would have been too small to be printed. Description of the model can be found page 300 here.
Parts Required
Requires 7 ball bearings with these diameters:
Sun = 12 mm
Mercury, Venus, Earth, Mars = 6 mm
Jupiter, Saturn = 8 mm
I included spheres for printing, but I think marbles or ball bearings would look much better. You can get all you need for approx €10 on ali express. I used a copper ball for Earth just to add distinction.
Orbital Periods and Errors
| Planet | Actual Period (days) | Model Period (days) | Error (%) |
| Saturn | 10755 | 10733.87 | 0.19 |
| Jupiter | 4331.74 | 4330.82 | 0.02 |
| Mars | 686.98 | 686.67 | 0.05 |
| Earth | 365.25 | 365.25 | 0.00 |
| Venus | 224.7 | 224.76 | -0.03 |
| Mercury | 87.97 | 88.01 | -0.04 |




















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