Star Measurements on Various Domes

I measured the sizes of some stars on the Young Harris College planetarium's 12.2-meter (40-foot) dome. I also enlisted the help of colleagues at Victor Valley Community College (9.1-meter = 30-foot dome) and Cleveland Museum of Natural History (12.2 dome) to measure the sizes of the same stars made by their Zeiss ZKP-3 and ZKP-3S machines, respectively. The star sizes are given in the table below along with the sizes for my old Spitz A3P (7.3 meter = 24-foot dome). Because all four facilities have different size domes, I have scaled the star sizes to what they would be on a 12.2-meter (40-foot) dome using the formula: scaled size = measured size * (20/facility’s dome radius in feet). For example, Vega on my old 24-foot dome projected by the Spitz A3P was 5 mm, so the scaled size = 5 mm * (20/12) = 8.33 mm.

Star
Chronos (mm)
Zeiss ZKP-3S (mm)
Zeiss ZKP-3 (scaled up; mm)
Spitz A3P (scaled up; mm)
Vega
10
20.64
14.67
8.33
Rigel
9
25.4
14.67
11.67
5 Ursa Minoris
4
3.18
2.27
11.67
Cursa (Beta Eridanus)
5
6.35
4.13
16.67

I estimate the uncertainties in the measurements as follows: my Chronos + A3P measurements to 0.5 mm, values for Zeiss ZKP-3 given to me to 0.1 mm, values for Zeiss ZKP-3S quoted to 1/32-inch (=0.8 mm). A mix of bright stars and dim stars were measured to account for the fact that star projectors use lenses for their bright star images. The Zeiss ZKP-3(S), Goto Chronos, and Spitz A3P do fine on the bright stars but the A3P has bigger faint stars.

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