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Rev

Thanks. I lost that arctan somewhere. Guess I started with arctan latitude somewhere.

SO is dead
– SO is dead

2013-02-27 11:16:02 +00:00
Commented Feb 27, 2013 at 11:16
2

I wish I could up vote this more than once!

Ian Turton
– Ian Turton

2013-02-27 12:46:49 +00:00
Commented Feb 27, 2013 at 12:46
1

Beautiful work! just found this today and used it for recreating the day/night cycle of a fantasy world I'm building with my siblings. I learned two things while doing this. 1). if you replace gamma with tan(l_a) you can then specify the exact height (in latitude) you want the geodesic to reach. 2). if you instead replace gamma with tan(y_1)*csc(x_1 - l_0) you will get a curve that will go through a specified point! (longitude, latitude) thank both for asking and answering this question.

spydragon
– spydragon

2024-07-03 03:53:26 +00:00
Commented Jul 3, 2024 at 3:53
1

@spydragon Thank you for those useful refinements of the formula.

whuber
– whuber

2024-07-03 13:39:46 +00:00
Commented Jul 3, 2024 at 13:39

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