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It's painful that world's most specialized community cannot find an agreement about the loxodrome. The one part asserts that loxodrome reaches the pole after an infinite number of revolvings, but along the finite path, the other part denies the possibility of it and assumes the asymptotic behavior of loxodromes, meridians and parallels excepted.
Could anybody give the analytic equation for the length of the loxodrome depending on the initial latitude, the latitude difference and the course? It should give the length of parallel for the course 90/270, the latitude difference for 0/180 and something more complicated for intermediate cases, isn't it? From its form one could see the answer for the pole as the ending point, I hope.
Jan Kalivoda
