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Analytical Solution for a Problem on Approximation of Functional Dependences for Parameters of a Geodesic Line

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Abstract

A solution of a problem on synthesis for the analytical approximation of the dependence of longitude on latitude on the geodesic line of the spheroid and the great circle (orthodrome) of the Earth’s sphere is considered. Found functional dependencies can significantly reduce the instrumentation kit for measuring and navigation complex as well as the computational costs in solving navigation problems.

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References

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Acknowledgements

This study was financially supported by the Russian Foundation for Basic Research (project No. 16-07-00994 A) and state assignment No. 11.11772.2018 / 11.12.

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Authors and Affiliations

  1. Rostov State Transport University, pl. Rostovskogo Strelkovogo Polka Narodnogo Opolcheniya 2, Rostov-on-Don, 344038, Russia

    P. A. Kucherenko & S. V. Sokolov

Authors
  1. P. A. Kucherenko
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  2. S. V. Sokolov
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Corresponding author

Correspondence to P. A. Kucherenko.

Additional information

Russian Text © The Author(s), 2019, published in Izvestiya Akademii Nauk, Mekhanika Tverdogo Tela, 2019, No. 5, pp. 104–112.

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Kucherenko, P.A., Sokolov, S.V. Analytical Solution for a Problem on Approximation of Functional Dependences for Parameters of a Geodesic Line. Mech. Solids 54, 1076–1082 (2019). https://doi.org/10.3103/S0025654419070082

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  • DOI: https://doi.org/10.3103/S0025654419070082

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