A comparison of numerical solutions of dead reckoning navigation

• Autorzy: Banachowicz A. , Wolski A.
• Języki publikacji: EN

Abstrakty

EN

Calculations of position coordinates in dead reckoning navigation essentially comes down to the integration of ship movements assuming an initial condition (position) of the ship. This corresponds to Cauchy’s problem. However, in this case the ship’s velocity vector as a derivative of its track (trajectory) is not a given function, but comes from navigational measurements performed in discrete time instants. Due to the discrete character of velocity vector or acceleration measurements, ship’s movement equations particularly qualify for numerical calculations. In this, case the equation nodes are the time instants of measurements and navigational parameter values read out at those instants. This article presents the applications of numerical integration of differential equations (movement) for measurements of velocity vectors and acceleration vector (inertial navigation systems). The considerations are illustrated with navigational measurements recorded during sea trials of the rescue ship integrated system.

Słowa kluczowe

EN

navigation measurements; numerical methods

PL

pomiary nawigacyjne; metody numeryczne

• Wydawca: Wydział Geodezji i Kartografii Politechniki Warszawskiej
• Czasopismo: Reports on Geodesy
• Rocznik: 2012
• Tom: z. 2/93
• Strony: 49--55
• Opis fizyczny: Bibliogr. 5 poz., wykr.

Twórcy

autor

Banachowicz A.

• Department of Artificial Intelligence and Applied Mathematics West Pomeranian University of Technology, ul. Żołnierska 49, 71-210 Szczecin, Poland

autor

Wolski A.

• Maritime University of Szczecin, Wały Chrobrego 1-2, 70-500 Szczecin, Poland

Bibliografia

• 1. Banachowicz A., (2001): A Comparison of Hodographs of Navigational Parameters. Scientific Bullettin No. 64. WSM, Szczecin, pp. 5-17.
• 2. Banachowicz A., Banachowicz G., Wolski A., (2007): The Accuracy Assessement in Dead Reckoning Navigation. Reports on Geodesy No. 2(83), pp. 117 – 124.
• 3. Banachowicz A., Wolski A., Banachowicz G., (2010): Określenie krzywizny trajektorii płaskiej statku za pomocą GPS. Biuletyn WAT, Vol. LIX, NR 2, Warszawa, ss. 107-115.
• 4. Bar-Shalom Y., Li X.R., Kirubarajan T., (2001): Estimation with Applications to Tracking and Navigation. John Wiley & Sons, Inc., New York.
• 5. Demidovich B.P., Maron I.A., (1987): Computational Mathematics. Mir Publisher, Moscow.Kincaid D., Cheney W., (2002): Numerical Analysis. Mathematics of Scientific Computing. The Wadsworth group, Brooks/Cole.