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JOURNALS // Computing, Telecommunication and Control // Archive

St. Petersburg Polytechnical University Journal. Computer Science. Telecommunication and Control Sys, 2014 Issue 3(198), Pages 49–58 (Mi ntitu38)

Mathematical Modelling: Methods, algorithms, technologies

Methods for direct and inverse geodesic problems solving with high precision

V. A. Botneva, S. M. Ustinovb

a ZAO "Transas"
b St. Petersburg State Polytechnical University

Abstract: Proposed algorithms for navigational calculations provide an extremely low error over the entire range of input parameters and allow avoiding the loss of accuracy typical for these tasks. These methods demonstrate an acceptable performance for practical applications and we can recommend using them in commercial navigational software products meeting international navigational standards.

Keywords: modelling methods, loss of accuracy, machine epsilon, asimptotic expansions, geodesic problems, loxodrome.

UDC: 519.6:527



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