Which function best computes geographic distances?

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Tiberius
Tiberius am 1 Jun. 2014
I have two triplets of aircraft coordinates [latitude1, longitude1, altitude1] and [latitude2, longitude2, altitude2], which are really close on the globe (may be important). Which function computes most accurately the distance between the two, in nautical miles? I tried the slant range from the elevation function and also the distance function (problem is that distance doesn't take into account the change in altitude).

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