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[Phys-L] celestial motions



Teaching astronomy this year and wanted to have some simple/quick "facts"
(using approximate numbers) to share with students and parents. For
example, light takes 8 min to get from the Sun to the Earth. In that time
the Sun moves four of its own diameters. (Sun moves 15° per hour in the
sky, or 1° every four minutes, or 2° every 8 minutes -- four solar
diameters). This seems about right. Sunsets appear to take longer, but I
have not timed them. Maybe there are some optical effects/refraction from
our atmosphere? Earth's rotation? Minimal effect?

What about the Moon? It has a diameter of 2000 miles and moves 2000 mph --
it moves its own diameter across the sky each hour. I think solar/lunar
eclipses take about an hour to progress from start to totality. But the
Moon appears to move much faster across the sky. I think we need to take
the Earth's rotation into account. Moon moves 360° in 29.5 days, or
12.2°/day. Earth spins 360° in 24 h, or 4 min per degree. So the Moon rises
4 min/° x 12.2°/day = 48 min (or 0.8 h) later each night. The Moon takes
24.8 h to appear at the same point in the sky. So it moves 360°/24.8 h =
14.5°/h. To move its own diameter takes 0.5°/(14.5°/h) = 0.034 h = 2 min.
Seems reasonable as I often watch the Moon But what about Earth's movement
around the Sun in one day? Minimal effect?

Can anyone check these ideas/numbers? I didn't intend this to be a "math"
email, but the Moon thing intrigued me.

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