\"Uber die Berechnung der geographischen L\"angen und Breiten aus geod\"atischen Vermessungen
F. W. Bessel (K\"onigsberg Observatory), Charles F. F. Karney (Sarnoff, Corp.), Rodney E. Deakin (RMIT)
TL;DR
This paper presents a series-based method for calculating geographic longitude and latitude from geodetic measurements, including tables to facilitate the computations, based on Bessel's 1825 work.
Contribution
It updates Bessel's original 1825 method with modern notation, corrected errors, and recomputed tables for improved accuracy in geodesic calculations.
Findings
Provides a practical series solution for geodesic problems.
Includes updated tables to simplify computations.
Corrects and modernizes Bessel's original work.
Abstract
The solution of the geodesic problem for an oblate ellipsoid is developed in terms of series. Tables are provided to simplify the computation. [This is a transcription of F. W. Bessel, Astronomische Nachrichten 4(86), 241-254 (1825). The text follows the original; however the mathematical notation has been updated to conform to current conventions. Several errors have been corrected and the tables have been recomputed.]
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