ON THE OVERDETERMINED CELESTIAL FIX

Thomas R. Metcalf and Frederic T. Metcalf

Peer Reviewed

Abstract: We present an algorithm for computing the best position fix (in the least-squares sense) from a sequence of observations of any number of celestial bodies. This algorithm has several advantages, most notably that it does not rely on an initial guess of the position, is computationally expedient, and is simple enough to program on the more sophisticated hand-held calculators. We present the mathematical background for this algorithm, a description of its implementation, examples of its use on both simulated and “real” data, and an estimate of the error on the derived position.
Published in: NAVIGATION, Journal of the Institute of Navigation, Volume 38, Number 1
Pages: 79 - 88
Cite this article: Metcalf, Thomas R., Metcalf, Frederic T., "ON THE OVERDETERMINED CELESTIAL FIX", NAVIGATION, Journal of The Institute of Navigation, Vol. 38, No. 1, Spring 1991, pp. 79-88.
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