Estimating the ballistic coefficient of a re-entry vehicle

Estimating the ballistic coefficient of a re-entry vehicle

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Theoretical bounds for estimating the ballistic coefficient of a ballistic object during the re-entry phase have been addressed. One essential characteristic of the vehicle trajectory is its deceleration when it reaches dense atmospheric layers. The intensity of the phenomenon is proportional to a scalar, called the ballistic coefficient. This leads to an highly nonlinear time-varying dynamic. To understand the dimensioning parameters for estimating the ballistic coefficient, accurate approximations of the Fisher information matrix are developed. The main result is a closed-form expression of a lower bound for the variance of the ballistic coefficient estimate.


    1. 1)
    2. 2)
      • M. Yeddanapudi , Y.B. Shalom , K.R. Pattipati , S. Deb . Ballistic missile track initiation from satellite observations. IEEE Trans. Aerosp. Electron. Syst. , 3 , 1054 - 1069
    3. 3)
      • Costa, P.J., Moore, W.H.: `Extended Kalman–Bucy filters for radar tracking and identification', Proc. IEEE National Radar Conf., 1991, p. 127–131.
    4. 4)
    5. 5)
      • J.-P. Le Cadre . Properties of estimability criteria for target motion analysis. IEE Proc. , 2 , 92 - 99
    6. 6)
      • B. Ristic , A. Farina , D. Benvenuti , S. Arulampalam . Performance bounds and comparison of nonlinear filters for tracking a ballistic object on re-entry. IEE Proc. , 2 , 65 - 70
    7. 7)
      • Dodin, P., Minvielle, P., Le Cadre, J.-P.: `Re-entry vehicle tracking, observability and theoretical bound', Proc. 8th Int. Conf. Inf. Fusion, July 2005, PA, USA, p. 197–204.
    8. 8)
      • P. Minvielle . Decades of improvement in re-entry ballistic vehicle tracking. IEEE Aerosp. Electron. Syst. Mag. , 8 , 1 - 14
    9. 9)
    10. 10)
      • Minvielle, P.: `Tracking a ballistic re-entry vehicle with a sequential monte-carlo filter', Proc. IEEE Aerospace Conf., March 2002, Big Sky, USA, p. 1773–1787.
    11. 11)
    12. 12)
    13. 13)
      • H.J. Allen , A.J. Eggers . (1958) A study of the motion and aerodynamic heating of ballistic missiles entering the earth's atmosphere at high supersonic speeds, NACA Technical note 1381.
    14. 14)
      • H.J. Allen , M. Tobak . (1958) Dynamic stability of vehicles ascending or descending paths through the atmosphere, Technical note 4275.
    15. 15)
      • H.J. Allen . (1957) Motion of a ballistic missile angularly misaligned with the flight path upon entering the atmosphere and its effect upon aerodynamic heating, aerodynamic loads, and miss distance, NACA Technical note 4048.
    16. 16)
      • Galais, P.: `Mécanique du vol. CEA/CESTA Technical report', 1998.
    17. 17)
      • Ristic, B., Arulampalam, S., Carthy, Mc: `Target motion analysis using range-only measurements: algorithms, performance and application to INGARA ISAR Data', DSTO Technical Report TR-1095, January 2001.

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