Originally Posted by
mAAine_flyer
For geography maybe, but geodesy is a much more exact science
While computations of the great circle distance can be laborious, they are not especially difficult. Key things to consider are rounding of the angular coordinates (nearest arc-second vs nearest arc-minute), and the choice of reference Earth model (ellipsoid vs sphere).
If AA's great circle calculator uses coordinates rounded to arc-minutes, then results will differ from gcmap. Likewise, AA's calculator might simplify the math by representing Earth as a sphere, whereas in reality Earth is an oblate spheroid or ellipsoid (gcmap uses the WG84 ellipsoidal model as a reference).
Whatever AA uses, there's "mileage creep" in their stated mileage. I've had to change figures in my spreadsheet's lookup tables fairly regularly. Certainly greater changes than would result from continental drift.