444
Order of magnitude is a hell of a drug
(lemmy.world)
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I want you to know that you nerd sniped me with this comment and I started doing the math. To raise the apparent size of Betelgeuse to the apparent size of Jupiter (at its largest to the naked eye), you'd need a minimum 20 inch aperture telescope to pull the required 1000x magnification. Mind you:
20 inches is not a mass produced telescope size, but there ARE custom makers who produce reflectors at and well beyond this size. There are certainly terrestrial telescopes that can achieve what we need.
you're still not resolving any details at that size, it's just raising Betelgeuse to the same apparent size as Jupiter at its naked eye largest.
most places on earth are not conducive to magnifications over 300x. You can certainly do it, and sometimes the atmospheric conditions are ridiculously clear and you can pull off stupid levels of magnification, but there's a reason why observatories get built up on mountains a lot. 1000x is... Well, good luck. Especially since Orion and Betelgeuse never get too close to the zenith, meaning there's always a substantial amount of atmosphere to deal with.
Edit: let's go with raising it to the same apparent size as the full moon, which occupies about 30 arcminutes or 1800 arc seconds. Jupiter is 50 arc seconds at the largest, and Betelgeuse is 0.05 arc s. To figure out how much we need to magnify Betelgeuse by, we take the apparent size of the moon and divide it by the apparent size of Betelgeuse, yielding 36,000x. Assuming a spherical cow, telescope aperture is what limits the maximum useful magnification, and the equation to derive that is roughly 50x aperture. So, if we divide 36,000 by 50, we'll get our minimum required aperture of 720 inches, or fifty feet. IIRC, we have at least one terrestrial telescope that's at least that large, down in Chile, though I'm almost certain there are more and larger ones, too.