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Izvestiya of Saratov University. Mathematics. Mechanics. Informatics, 2013, Volume 13, Issue 1(1), Pages 69–84
DOI: https://doi.org/10.18500/1816-9791-2013-13-1-1-69-84 (Mi isu355) 		 
Mechanics

Analytical Solution of Linear Differential Error Equations of Strapdown Inertial Navigation System, Functioning in the Normal Geographic Reference Frame, for the Case of an Object, Following the Geographical Equator

M. Yu. Loginova, M. G. Tkachenkob, Yu. N. Chelnokovc

a Institute of Precision Mechanics and Control, Russian Academy of Sciences, Saratov
b Universidad Nacional Autónoma de México
c Saratov State University
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DOI: https://doi.org/10.18500/1816-9791-2013-13-1-1-69-84
Abstract: Analytical solution of linear differential error equations of the strapdown inertial navigation system, functioning in the normal geographic reference frame, for the object, following the Earth equator with constant speed and on the constant height, is derived. The solution is represented in the form, which is convenient for the analysis. The roots of the auxiliary equation are derived in the explicit form. Obtained results can be used, for example, for analysis of the accuracy of strapdown inertial navigation system.
Key words: inertial navigation, strapdown inertial navigation systems, strapdown INS errors, analytical solution of error equations, equator.
Bibliographic databases:
Document Type: Article
UDC: 629
Language: Russian
Citation: M. Yu. Loginov, M. G. Tkachenko, Yu. N. Chelnokov, “Analytical Solution of Linear Differential Error Equations of Strapdown Inertial Navigation System, Functioning in the Normal Geographic Reference Frame, for the Case of an Object, Following the Geographical Equator”, Izv. Saratov Univ. Math. Mech. Inform., 13:1(1) (2013), 69–84
Citation in format AMSBIB
\Bibitem{LogTkaChe13}
\by M.~Yu.~Loginov, M.~G.~Tkachenko, Yu.~N.~Chelnokov
\paper Analytical Solution of Linear Differential Error Equations of Strapdown Inertial Navigation System, Functioning in the Normal Geographic Reference Frame, for the Case of an Object, Following the Geographical Equator
\jour Izv. Saratov Univ. Math. Mech. Inform.
\yr 2013
\vol 13
\issue 1(1)
\pages 69--84
\mathnet{http://mi.mathnet.ru/isu355}
\crossref{https://doi.org/10.18500/1816-9791-2013-13-1-1-69-84}
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