An improved algorithm for solving the geodetic problem

Xiaoying Huang; Dongliang Yin

doi:10.1117/12.3020891

19 January 2024 An improved algorithm for solving the geodetic problem

Xiaoying Huang, Dongliang Yin

Proceedings Volume 12980, Fifth International Conference on Geoscience and Remote Sensing Mapping (ICGRSM 2023); 129801V (2024) https://doi.org/10.1117/12.3020891
Event: Fifth International Conference on Geoscience and Remote Sensing Mapping (ICGRSM 2023), 2023, Lianyungang, China

Abstract

The preceding algorithms are troubled by the singular problem of some formulas and the azimuth multi-value problem in the solution of trigonometric equations. In this paper, sine cosine theorem for spherical triangle is applied in the Mathematica computer algebra system to address and resolve the geodetic problem at special positions such as equator, meridian circle, south and north poles. The algorithm is optimized to avoid tedious quadrant determination. On this basis, a formally simple method for solution is proposed to be applicable under all circumstances, and greatly improve the accuracy of solution. As revealed by data verification, the improved algorithm is greatly efficient in computation, symbolically simpler, and highly universal, proving its significance to the guarantee for surveying and mapping.

(2024) Published by SPIE. Downloading of the abstract is permitted for personal use only.

Citation Download Citation

Xiaoying Huang and Dongliang Yin "An improved algorithm for solving the geodetic problem", Proc. SPIE 12980, Fifth International Conference on Geoscience and Remote Sensing Mapping (ICGRSM 2023), 129801V (19 January 2024); https://doi.org/10.1117/12.3020891

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