 | | Mechanics of Solids
A Journal of Russian Academy of Sciences | | Founded
in January 1966
Issued 6 times a year
Print ISSN 0025-6544
Online ISSN 1934-7936 |
Archive of Issues
| Total articles in the database: | | 11223 |
| In Russian (Èçâ. ÐÀÍ. ÌÒÒ): | | 8011
|
| In English (Mech. Solids): | | 3212 |
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| << Previous article | Volume 56, Issue 4 / 2021 | Next article >> |
| Kucherenko P.A. and Sokolov S.V., "Analytical Approximation of the Solution of a Geodesic Problem," Mech. Solids. 56 (4), 551-558 (2021) |
| Year |
2021 |
Volume |
56 |
Number |
4 |
Pages |
551-558 |
| DOI |
10.3103/S0025654421040105 |
| Title |
Analytical Approximation of the Solution of a Geodesic Problem |
| Author(s) |
Kucherenko P.A. (Rostov Branch JSC NIIAS, Rostov-on-Don, 344038 Russia, pavelpost83@mail.ru)
Sokolov S.V. (Moscow Technical University of Communications and Informatics, Moscow, 111024 Russia) |
| Abstract |
The problem of analytical synthesis of functions approximating the dependence of the
length of the geodetic line on the navigation parameters of its start and end points for the spheroid and the Earth sphere has been solved. The dependences approximating the length of the geodetic line are determined for both the reduced and geodetic latitudes. Expressions are obtained for the azimuth of the end point (at a known latitude of the starting point), which do not require knowing the longitude of the end point and the length of the geodetic line. The solutions found can significantly reduce computational costs when solving various classes of navigation and geodesy problems. |
| Keywords |
ellipsoid, geodesic problem, geodesic line length, approximation of functional dependence |
| Received |
14 June 2020 | Revised |
29 October 2020 | Accepted |
28 December 2020 |
| Link to Fulltext |
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| << Previous article | Volume 56, Issue 4 / 2021 | Next article >> |
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