Dealing with uncertainties in angles-only initial orbit determination
- Armellin, R. 1
- Di Lizia, P. 2
- Zanetti, R. 3
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1
Universidad de La Rioja
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2
Polytechnic University of Milan
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- 3 NASA Johnson Space Center, 2101 NASA Road 1, Houston, TX, United States
ISSN: 0923-2958
Datum der Publikation: 2016
Ausgabe: 125
Nummer: 4
Seiten: 435-450
Art: Artikel
Andere Publikationen in: Celestial mechanics and dynamical astronomy
Zusammenfassung
A method to deal with uncertainties in initial orbit determination (IOD) is presented. This is based on the use of Taylor differential algebra (DA) to nonlinearly map uncertainties from the observation space to the state space. When a minimum set of observations is available, DA is used to expand the solution of the IOD problem in Taylor series with respect to measurement errors. When more observations are available, high order inversion tools are exploited to obtain full state pseudo-observations at a common epoch. The mean and covariance of these pseudo-observations are nonlinearly computed by evaluating the expectation of high order Taylor polynomials. Finally, a linear scheme is employed to update the current knowledge of the orbit. Angles-only observations are considered and simplified Keplerian dynamics adopted to ease the explanation. Three test cases of orbit determination of artificial satellites in different orbital regimes are presented to discuss the feature and performances of the proposed methodology. © 2016, Springer Science+Business Media Dordrecht.