
06659271
j
2016f.01324
Ashby, Chase
Thompson, Josh
Computing geographical distances; derivation and application.
Math. Spectr. 48, No. 3, 126132 (2016).
2016
Applied Probability Trust (APT) c/o University of Sheffield, School of Mathematics and Statistics (SoMaS), Sheffield
EN
M50
G70
G40
geographical distances
orthodromes
loxodromes
Summary: We explain two existing methods for computing distances on Earth, one using great circles (orthodromes) and the other using great spirals (loxodromes). We derive formulas for these approaches, and use each of them to calculate the shoreline distances around each of the Great Lakes. The resulting calculations compare favourably with established statistics of the Great Lakes.