Global Navigation Satellite Systems, Inertial Navigation, and Integration. Mohinder S. Grewal

be required?

References

      1 1 IEEE Standard 528‐2001 (2001). IEEE Standard for Inertial Sensor Terminology. New York: Institute of Electrical and Electronics Engineers.

      2 2 IEEE Standard 1559‐2009 (2009). IEEE Standard for Inertial System Terminology. New York: Institute of Electrical and Electronics Engineers.

      3 3 Mueller, F.K. (1985). A history of inertial navigation. Journal of the British Interplanetary Society 38: 180–192.

      4 4 Everitt, C.W.F., DeBra, D.B., Parkinson, B.W. et al. (2011). Gravity probe B: final results of a space experiment to test general relativity. Physical Review Letters 106: 221101.

      5 5 Bernstein, J., Cho, S., King, A.T. et al. (1993). A micromachined comb‐drive tuning fork rate gyroscope. Proceedings IEEE Micro Electro Mechanical Systems. IEEE, pp. 143–148.

      6 6 von Laue, M. (1920). Zum Versuch von F. Harress. Annalen der Physik 367 (13): 448–463.

      7 7 Collin, J., Kirkko‐Jaakkola, M., and Takala, J. (2015). Effect of carouseling on angular rate sensor error processes. IEEE Transactions on Instrumentation and Measurement 64 (1): 230–240.

      8 8 Renkoski, B.M. (2008). The effect of carouseling on MEMS IMU performance for gyrocompassing applications. MS thesis. Massachusetts Institute of Technology.

      9 9 Bortz, J.E. (1971). A new mathematical formulation for strapdown inertial navigation. IEEE Transactions on Aerospace and Electronic Systems AES‐7: 61–66.

      10 10 Draper, C.S. (1981). Origins of inertial navigation AIAA Journal of Guidance and Control 4 (5): 449–456.

      11 11 Chairman of Joint Chiefs of Staff, US Department of Defense (2003). 2003 CJCS Master Positioning, Navigation and Timing Plan. Rept. CJCSI 6130.01C.

      12 12 Titterton, D.H. and Weston, J.L. (2004). Strapdown Inertial Navigation Technology, 2e. Stevenage, UK: Institution of Electrical Engineers.

      13 13 Savage, P.G. (1996). Introduction to Strapdown Inertial Navigation Systems, Vols. 1 & 2. Maple Plain, MN: Strapdown Associates.

      14 14 Groves, P.D. (2013). Principles of GNSS, Inertial, and Multisensor Integrated Navigation Systems, 2e. Artech House.

Notes

      1 1 Quoted by author Tom Pickens in “Doc Gyro and His Wonderful ‘Where Am I?’ Machine,” American Way Magazine, 1972.

      2 2 Named after the Italian physician, inventor, and polymath Girolamo Cardano (1501–1576), who also invented what Americans call a “universal joint” and Europeans call a “Cardan shaft.”

      3 3 The inertial rotation rate of the Earth was already quite well known, thanks to astronomers. Foucault was only using it to demonstrate gyroscopic physics.

      4 4 An effect discovered by George Darwin, second son of Charles Darwin.

      5 5 The vehicle dynamic model used for gyrocompass alignment filtering can be “tuned” to include the major resonance modes of the vehicle suspension.

      6 6 The nautical mile was originally defined in the seventeenth century as the surface distance covered by one arc‐minute of latitude at sea level. However, because the Earth is not exactly spherical and latitude is measured with respect to the local vertical, this number varies from equator to pole from about 1843 m to about 1861 m.

      7 7 Defined in Chapter 10.