The application to sidereal time is where this really gets interesting. It’s far from a trivial question of semantics or a mathematical trick. It’s something astronomers have known about for ages, since the amount of time it takes for the Earth to make one rotation is different from the perspective of distant stars than from the perspective of the sun.
Indeed. This was my favorite part of the video. The discussion of the problem and SAT part are interesting, but when it delves into the sidereal time aspect, it just flies off into a direction where never saw coming and presented some fascinating aspects I’d never had need to consider.
what is perplexing to me is that I've been thinking about the sidereal problem for the last or so
...(because I heard on a podcast that the earliest sunset occurs more than a week before the solstice and the latest sunrise occurs after the solstice, but still the solstice is the shortest day, and they said something about the tilt of the earth and I was thinking that was not explanatory, so I've been idly noodling about it)...
and I just got this problem wrong! didn't even occur to me :) in my defense, the thumbnail for this video does not state the question so I wasn't sure what I was supposed to do, but guided by the multiple choice I selected 3
but talk about having my brain primed for the question... doh!
