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The use of angles and angular rates

II: Multiple observation initial orbit determination

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Abstract

Earlier work on the angles and angular rate initial orbit determination problem has been extended to allow the incorporation of arbitrary amounts and mixtures of angles and angular rate data. The statistical estimation technique used is that of Maximum Likelihood. Numerical tests on six widely different satellite orbits indicate that the orbital elements can generally be computed to 1% from data acquired during a single apparition.

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References

  • Kendall, M. G. and Stuart, A.: 1973,The Advanced Theory of Statistics, Vol. 2, Hafner Publishing Co., New York.

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  • Saaty, T. L. and Bram, J.: 1964,Nonlinear Mathematics, McGraw-Hill Book Co., New York.

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  • Taff, L. G. and Hall, D. L.: 1977, Celes. Mech.16, 481.

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Author notes

  1. D. L. Hall

    Present address: Computer Sciences Corporation, 20910, Silver Springs, Maryland, USA

Authors and Affiliations

  1. Lincoln Laboratory, Massachusetts Institute of Technology, 02173, Lexington, Mass, USA

    L. G. Taff & D. L. Hall

Authors
  1. L. G. Taff
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  2. D. L. Hall
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Additional information

This work was sponsored by the Department of the Air Force.

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Taff, L.G., Hall, D.L. The use of angles and angular rates. Celestial Mechanics 21, 281–290 (1980). https://doi.org/10.1007/BF01230226

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  • DOI: https://doi.org/10.1007/BF01230226

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