Created
July 12, 2011 06:04
-
-
Save aphyr/1077487 to your computer and use it in GitHub Desktop.
This file contains bidirectional Unicode text that may be interpreted or compiled differently than what appears below. To review, open the file in an editor that reveals hidden Unicode characters.
Learn more about bidirectional Unicode characters
(10:54:19 PM) Loren Bruns: The VLT (Very Large Telescope), when configured in optical interferometry mode with all 4 telescopes working together, gives it an angular resolution that can resolve an object of what scale on the moon? | |
(10:54:30 PM) Aphyr: oooh, interferometry | |
(10:54:42 PM) Aphyr: Let's go with... rubix hypercube. | |
(10:55:15 PM) ***Aphyr actually does some math | |
(10:55:35 PM) Aphyr: OK, 4 8 meter telescopes | |
(10:55:55 PM) Aphyr: in interferometry mode they are 25x finer resolution limit | |
(10:56:21 PM) Loren Bruns: Oh, you're actually looking things up. | |
(10:56:26 PM) Aphyr: the diffraction limit for an 8.2 meter mirror is... | |
(10:56:26 PM) Aphyr: uhh | |
(10:56:38 PM) Loren Bruns: I just figured you would guess and I would tell you. | |
(10:56:43 PM) Aphyr: wavelength over n sine angle? | |
(10:56:51 PM) Aphyr: 2n sin alpha | |
(10:57:02 PM) Aphyr: n is roughly 1 for air | |
(10:57:06 PM) Loren Bruns: But keep going. | |
(10:57:13 PM) Aphyr: we'll pretend here to get a worst case limit, that the moon is in atmo | |
(10:57:50 PM) Aphyr: fuck what is alpha... arrgh it has been so long | |
(10:58:23 PM) Aphyr: oh that's right | |
(10:58:26 PM) Aphyr: nobody in astro uses units | |
(10:59:04 PM) Aphyr: optical wavelengths are 500nm | |
(10:59:22 PM) Aphyr: so 1.22 * 500nm / 8.2m | |
(10:59:39 PM) Aphyr: That's 7.43 * 10^-8 | |
(10:59:46 PM) Aphyr: the moon is... | |
(11:00:04 PM) Aphyr: at apogee, 400,000 km | |
(11:01:08 PM) Aphyr: 7.43 * 10^-8 radians * 400,000 km = 29.75 meters | |
(11:01:09 PM) Aphyr: hmm | |
(11:01:12 PM) Aphyr: that seems really big | |
(11:01:16 PM) Aphyr: did I do my angular math right? | |
(11:01:19 PM) Loren Bruns: Divide by 25 | |
(11:01:21 PM) Aphyr: ah | |
(11:01:25 PM) Aphyr: so 1.1 meters | |
(11:01:32 PM) Loren Bruns: Jesus christ. | |
(11:01:33 PM) Loren Bruns: YES | |
(11:01:36 PM) Loren Bruns: OK | |
(11:01:37 PM) Loren Bruns: YOU WIN | |
(11:01:37 PM) Aphyr: is that right? | |
(11:01:45 PM) Loren Bruns: It's between 1-2 meters | |
(11:01:47 PM) Aphyr: NICE | |
(11:01:51 PM) Aphyr: BACK OF THE ENVELOPE WIN | |
(11:02:00 PM) Loren Bruns: What was your gut instinct? | |
(11:02:04 PM) Aphyr: a rubix cube, haha | |
(11:02:09 PM) Loren Bruns: Oh, hah |
Sign up for free
to join this conversation on GitHub.
Already have an account?
Sign in to comment