Series expansions for computing rhumb areas

This data accompanies the paper

C. F. F. Karney,
The area of rhumb polygons,
Technical Report, SRI International, March 2023.
https://arxiv.org/abs/2303.03219

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.