Article

Celestial mechanics

, Volume 21, Issue 3, pp 281-290

The use of angles and angular rates

II: Multiple observation initial orbit determination
  • L. G. TaffAffiliated withLincoln Laboratory, Massachusetts Institute of Technology
  • , D. L. HallAffiliated withLincoln Laboratory, Massachusetts Institute of Technology

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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.