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
Argitalpen urtea: 2016
Alea: 125
Zenbakia: 4
Orrialdeak: 435-450
Mota: Artikulua
Beste argitalpen batzuk: Celestial mechanics and dynamical astronomy
Laburpena
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.