Series expansions for computing rhumb areas

This data accompanies the paper C. F. F. Karney,The area of rhumb polygons,Stud. Geophys. Geod. 68(3–4) 99–120 (2024). doi:10.1007/s11200-024-0709-z Files: rhumbarea.mac: the Maxima code used to obtain the series expansion for the rhumb area. Instructions for using this code are included in the file. auxvals40.mac: the 40th-order series for auxiliary latitudes as Maxima code (required by rbumbarea.mac). rhumbvals40.mac: the 40th-order series for the rhumb area as Maxima code. rhumbvals6.m, rhumbvals16.m, and rhumbvals40.m: the 6th-, 16th-, and 40th-order series as Octave/MATLAB code. The 40th-order series are given as floating-point numbers; the others are as exact fractions.