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| Content Provider | Springer Nature Link |
|---|---|
| Author | Beutler, G. Jäggi, A. Hugentobler, U. Mervart, L. |
| Copyright Year | 2006 |
| Abstract | 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. |
| Starting Page | 353 |
| Ending Page | 372 |
| Page Count | 20 |
| File Format | |
| ISSN | 09497714 |
| Journal | Journal of Geodesy |
| Volume Number | 80 |
| Issue Number | 7 |
| e-ISSN | 14321394 |
| Language | English |
| Publisher | Springer-Verlag |
| Publisher Date | 2006-08-24 |
| Publisher Place | Berlin, Heidelberg |
| Access Restriction | One Nation One Subscription (ONOS) |
| Subject Keyword | Orbit modelling Efficient orbit determination Pseudo-stochastic parameters Math. Applications in Geosciences Geophysics/Geodesy |
| Content Type | Text |
| Resource Type | Article |
| Subject | Geophysics Geochemistry and Petrology Computers in Earth Sciences |
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