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Astronomy

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    $\begingroup$ You've defined the problem in a way that necessarily produces the very anomaly you're asking about. Almost everyone regards a sunset as meaning the Sun has entirely disappeared below the horizon, rather than only half of it having "set". Are you allowing for part of the solar disc remaining above the horizon at the time of the northern summer solstice even at latitudes below (but close to) the Arctic Circle? $\endgroup$
    – Chappo Hasn't Forgotten
    Commented Mar 22, 2021 at 23:22
  • $\begingroup$ Yes, i did the half disc thing consistently. Notice that even 66.2 < 90-23.4-0.27 so I don't think you are right. I also added a an example to the bottom that is surely correctly computed and is even more to the south. $\endgroup$
    – mr_tuna
    Commented Mar 22, 2021 at 23:27
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    $\begingroup$ Normally, you should wait at least a week before accepting an answer. This will allow you to get more answers and look for feedback on existing answers. $\endgroup$
    – slowerthanstopped
    Commented Mar 23, 2021 at 15:51
  • $\begingroup$ Relevant: what-if.xkcd.com/42 $\endgroup$
    – Tim
    Commented Mar 24, 2021 at 9:18
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    $\begingroup$ @slowerthanstopped: Sometimes a question has a simple factual answer. There's no reason to delay accepting when someone posts it, in a case like this. You should still keep an eye on your question in case of comments on the answer pointing out that it's not that simple, but if you're pretty sure an answer fully answers the question, you should accept it. That doesn't close the question or stop anyone else from answering, and you can even change your accept vote if an even better answer comes in. (You don't want to long-term leave a less good answer pinned to the top, even if sufficient.) $\endgroup$
    – Peter Cordes
    Commented Mar 24, 2021 at 13:19