Statistics – Computation
Scientific paper
Jan 1974
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1974cemec...8..481c&link_type=abstract
Celestial Mechanics, Volume 8, Issue 4, pp.481-494
Statistics
Computation
Scientific paper
Earth-based spacecraft tracking data have historically been processed with classical least squares filtering techniques both for navigation purposes and for physical constant determination. The small, stochastic non-gravitational forces acting on the spacecraft are described to motivate the use of sequential estimation as an alternative to the least squares fitting procedures. The stochastic forces are investigated both in terms of their effect on the tracking data and their influence on estimation accuracy. A flexiible sequential filter design which leaves the existing trajectory, variational equations, data observable and partial computations undisturbed is described. A detailed filter design is presented that meets the precision demands and flexibility requirements of deep space navigation and scientific problems, one which provides a high degree of numerical integrity and numerical analysis capability, facilitates the efficient computation of multiple solutions, and makes few demands on the supporting computational structure.
Curkendall David W.
Leondes C. T.
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