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Autonomous Determination of Initial Latitude with an Inertial Measuring Unit

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A new method for determining the latitude of a fixed base is presented. This method is based on the strapdown inertial navigation technology using an inertial measurement unit (IMU) consisting of three accelerometers, three gyroscopes, and a processing board. It is shown that constant inclination of the base does not affect the latitude determination. The experiments conducted validate this method. The experimental equipment consists of an IMU with laser gyroscopes and accelerometers. A mathematical model of the error in the latitude that depends on the errors of gyroscopes and accelerometers is developed. The results that demonstrate the requirements to the latitude determination method are presented.

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References

  1. V. V. Avrutov, Tests of Inertial Devices [in Russian], NTUU “KPI,” Kyiv (2016).

  2. A Method to Determine Latitude [in Ukrainian], Patent of Ukraine No. 123355, February 26 (2018).

  3. V. V. Meleshko, Inertial Navigation Systems: Initial Alignment [in Russian], Korneichuk, Kyiv (1999).

    Google Scholar 

  4. M. A. Pavlovskii, Gyroscope Theory [in Russian], Vyshcha Shkola, Kyiv (1986).

    Google Scholar 

  5. Patent of the Russian Federation No. 2 572 651, September 9 (2014).

  6. B. B. Samotokin, V. V. Meleshko, and Yu. V. Stepankovskii, Navigation Devices and Systems [in Russian], Vyshcha Shkola, Kyiv (1986).

    Google Scholar 

  7. V. V. Avrutov, A. N. Sapegin, Z. S. Stefanishin, and V. V. Cisarzh, “Calibration of an inertial measurement unit,” Int. Appl. Mech., 53, No. 2, 228–236 (2017).

    Article  ADS  Google Scholar 

  8. Ya. I. Binder, T. V. Paderina, and Yu. A. Litmanovich, “Advanced borehole attitude determination without measuring axial angular rate component,” in: Proc. of the IEEE/ION PLANS-2006, April 25–27, San Diego, CA (2006), pp. 963–968.

  9. V. B. Larin and A. A. Tunik, “About inertial-satellite navigation system without rate gyros,” Appl. Comp. Math., 9, No. 1, 3–18 (2010).

    MathSciNet  MATH  Google Scholar 

  10. V. B. Larin and A. A. Tunik, “On inertial-navigation system without angular-rate sensors,” Int. Appl. Mech., 49, No. 4, 488–500 (2013).

    Article  ADS  Google Scholar 

  11. G. M. Lerner, “Scalar checking,” in: J. R. Wertz (ed.), Spacecraft Attitude Determination and Control, D. Riedel, Dordrecht, Holland (1978), pp. 328–331.

  12. Yu. A. Litmanovich, “On one approach to the use of redundant information in attitude determination from two vector observations,” Gyroscopy and Navigation, 3, No. 4, 280–285 (2012).

    Article  Google Scholar 

  13. D. H. Titterton and J. L. Weston, Strapdown Inertial Navigation Technology, Series 17, Institution of Electrical Engineers, Stevenage (2004).

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Correspondence to V. V. Avrutov.

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Translated from Prikladnaya Mekhanika, Vol. 54, No. 5, pp. 116–122, September–October, 2018.

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Avrutov, V.V. Autonomous Determination of Initial Latitude with an Inertial Measuring Unit. Int Appl Mech 54, 594–599 (2018). https://doi.org/10.1007/s10778-018-0913-z

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  • DOI: https://doi.org/10.1007/s10778-018-0913-z

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