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Feb 15 at 4:29 history edited Iosif Pinelis CC BY-SA 4.0
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Feb 14 at 15:19 comment added Nate River Thank you for the details. I worked it up myself too using normal coordinates and elementary analysis.
Feb 14 at 15:17 comment added Iosif Pinelis @NateRiver : Thank you for your appreciation. I have added a more formal proof of the fact that the geodesic must be orthogonal to the meridian.
Feb 14 at 15:15 history edited Iosif Pinelis CC BY-SA 4.0
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Feb 14 at 10:49 comment added Nate River In order to formally prove your claim that the geodesic must be orthogonal to the meridian, I thought of taking normal coordinates at the candidate destination point, since normal coordinates capture that the manifold is flat up to first order. From there one can argue with standard real analysis. Do you think this would work? Or how would you do it rather?
Feb 14 at 9:33 comment added Nate River Very slick argument, thank you!
Feb 14 at 9:33 vote accept Nate River
Feb 14 at 5:21 history edited Iosif Pinelis CC BY-SA 4.0
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Feb 14 at 4:51 history edited Iosif Pinelis CC BY-SA 4.0
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Feb 14 at 4:35 history edited Iosif Pinelis CC BY-SA 4.0
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Feb 14 at 4:29 history answered Iosif Pinelis CC BY-SA 4.0