Efficient satellite orbit modelling using pseudo-stochastic parameters

If the force field acting on an artificial Earth satellite is not known a priori with sufficient accuracy to represent its observations on their accuracy level, one may introduce so-called pseudo-stochastic parameters into an orbit determination process, e.g. instantaneous velocity changes at user-d...

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Bibliographic Details
Published in:Journal of geodesy 2006-10, Vol.80 (7), p.353-372
Main Authors: BEUTLER, G, JÄGGI, A, HUGENTOBLER, U, MERVART, L
Format: Article
Language:English
Subjects:
Algorithms
Earth sciences
Earth, ocean, space
Exact sciences and technology
Geodetics
Internal geophysics
Solid-earth geophysics, tectonophysics, gravimetry
Studies
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Summary:If the force field acting on an artificial Earth satellite is not known a priori with sufficient accuracy to represent its observations on their accuracy level, one may introduce so-called pseudo-stochastic parameters into an orbit determination process, e.g. instantaneous velocity changes at user-defined epochs or piecewise constant accelerations in user-defined adjacent time subintervals or piecewise linear and continuous accelerations in adjacent time subintervals. The procedures, based on standard least-squares, associated with such parameterizations are well established, but they become inefficient (slow) if the number of pseudo-stochastic parameters becomes large. We develop two efficient methods to solve the orbit determination problem in the presence of pseudo-stochastic parameters. The results of the methods are identical to those obtained with conventional least-squares algorithms. The first efficient algorithm also provides the full variance-covariance matrix; the second, even more efficient algorithm, only parts of it.[PUBLICATION ABSTRACT]
ISSN:0949-7714
1432-1394
DOI:10.1007/s00190-006-0072-6