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    Re: A triangle on the equator
    From: Frank Reed
    Date: 2025 Oct 9, 17:29 -0700

    Martin Caminos, you wrote [of a rhumbline course]:
    "For Ortodromic navigaction (great circle) the initial angle (this is important to mention) would be 53° 7.8' (which is the angle you would measure with the sextant), and the distance would be 10 NM.
    For Loxodromin navigation the constant angle would be 53° 18.6', and the distance would be 10.04 NM."

    Here's the intriguing thing: that's actually backwards. With a sextant in this scenario, you would find that the angle you measure would be identical to the course that you calculated for a loxodrome trajectory (a rhumbline). So this then should lead us to ask a question: "What the hell?! How do photons know about rhumblines? Do they have little compasses attached to the belt of a subatomic helmsman?"

    Naturally, they don't. So what's going on? You didn't specify what method you used to get that loxodrome course. Could you share that? What steps did you follow? The origin of the tool you used will lead to the interesting resolution of this. 

    Frank Reed

    PS: For the great circle calculation, you mentioned that the angle you calculated, 53°07.8', is the initial course, and you said it's "important to mention" that fact. But for short distances, that's not true. Short great circle trajectories, like this case, are effectively straight lines with no change in course --even to a tenth of a minute of arc.

       
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