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St. Petersburg Polytechnical University Journal. Computer Science. Telecommunication and Control Systems, 2015, Issue 6(234), Pages 33–44
DOI: https://doi.org/10.5862/JCSTCS.234.4
(Mi ntitu134)
 

Simulations of Computer, Telecommunications, Control and Social Systems

A method for finding the distance between a point and a line in geodesy intellectual systems and technologies

V. A. Botneva, S. M. Ustinovb

a ZAO "Transas"
b Peter the Great Saint-Petersburg Polytechnic University
Abstract: An efficient method for determining the distance between a trajectory and a point on the surface of a spheroid is proposed to address some ensuing control problems. An error assessment for the spherical approximation is obtained. The time gained through applying the gnomonic projection with the initial spherical approximation and without it is estimated. The limits of applicability of the spherical and the gnomonic projections for the method are shown. Detection of multiple extrema in the proposed problem and the causes of their occurrence are described. The algorithm for the solution of this problem under such conditions is suggested. The method demonstrates high accuracy of the solution and can be recommended for use in commercial navigation and geodetic software products that comply with international standards. The technique extends to control problems associated with target intercepting.
Keywords: modeling methods, geodesic problems, loxodrome, orthodrome, multiextremal optimization problems.
Document Type: Article
UDC: 519.6:527
Language: Russian
Citation: V. A. Botnev, S. M. Ustinov, “A method for finding the distance between a point and a line in geodesy intellectual systems and technologies”, St. Petersburg Polytechnical University Journal. Computer Science. Telecommunication and Control Sys, 2015, no. 6(234), 33–44
Citation in format AMSBIB
\Bibitem{BotUst15}
\by V.~A.~Botnev, S.~M.~Ustinov
\paper A method for finding the distance between a point and a line in geodesy intellectual systems and technologies
\jour St. Petersburg Polytechnical University Journal. Computer Science. Telecommunication and Control Sys
\yr 2015
\issue 6(234)
\pages 33--44
\mathnet{http://mi.mathnet.ru/ntitu134}
\crossref{https://doi.org/10.5862/JCSTCS.234.4}
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