Published December 13, 2022 | Version 1.0
Dataset Open

Series expansions for converting between auxiliary latitudes

Authors/Creators

  • 1. SRI International

Description

This data accompanies the paper

C. F. F. Karney,
On auxiliary latitudes,
Survey Review 56(395), 165-180 (2024).

Journal article: doi:10.1080/00396265.2023.2217604

Preprint: https://arxiv.org/abs/2212.05818

Files:

  • auxlat.mac: the Maxima code used to obtain the series expansions. Instructions for using this code are included in the file.
  • auxvals40.mac: the 40th-order series in Maxima notation.
  • auxvals6.m, auxvals16.m, and auxvals40.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.
  • AuxLatitude.hpp, AuxLatitude.cpp, and example-AuxLatitude.cpp: C++ code implementing the conversions between auxiliary latitudes both using the series expansions and with direct evaluation of the defining equations.

Notes

The series given in the files auxvals*.* are in the public domain.

Files

MANIFEST.txt

Files (2.8 MB)

Name Size Download all
md5:70ea0f1f52b0f27b5d3bde5111892b25
15.0 kB Download
md5:a831af2b94e2f5a5bb9af6b8621b2ac2
59.5 kB Download
md5:7d093e6741d74ce1b7abb8ef1a1ed068
20.4 kB Download
md5:aea3909ef9567a06a07ad53484681367
113.0 kB Download
md5:1135e47eba2925417e0ac9c052e79aba
530.2 kB Download
md5:92792638530b607e5ad9e2f115d0b371
2.1 MB Download
md5:8af57a1399b50d6d0b04caa8d57e88b3
9.7 kB Download
md5:6ec7ac5408b2dfd54703c58b5c5135e7
1.1 kB Download
md5:f2b9c9e3a46b48eb797d42fbdaa30939
888 Bytes Preview Download

Additional details

Related works

Is supplement to
Preprint: arXiv:2212.05818 (arXiv)
Journal article: 10.1080/00396265.2023.2217604 (DOI)

References

  • C. F. F. Karney, On auxiliary latitudes, Survey Review 56(395), 165–180 (2024).