The red supergiant Betelgeuse in the constellation Orion will explode as a
supernova at some time in the future. Use the Stamy Night Entbusiast \({
}^{\mathrm{TM}}\) program to investigate how the supernova might appear if this
explosion were to happen tonight. Click the Home button in the toolbar to show
the sky as seen from your location at the present time. (If the program does
not place you at your true location, use the Viewing Location ... command in
the Options menu.) Use the Find pane to locate Betelgeuse. If Betelgeuse is
below the horizon, allow the program to reset the time to when it is visible.
(a) At what time does Betelgeuse rise on today's date? At what time does it
set? (b) If Betelgeuse became a supernova today, would it be visible in the
daytime? How would it appear at night? Do you think it would cast shadows? (c)
Are Betelgeuse and the Moon both in the night sky tonight? (Use the Find pane
to locate the Moon.) If they are, and Betelguese were to become a supernova,
what kinds of shadows might they both cast?