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Dealing with uncertainties in angles-only initial orbit determination

Armellin, R, Di Lizia, P and Zanetti, R (2016) Dealing with uncertainties in angles-only initial orbit determination Celestial Mechanics and Dynamical Astronomy, 125 (4). pp. 435-450.

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Abstract

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.

Item Type: Article
Subjects : Electronic Engineering
Divisions : Faculty of Engineering and Physical Sciences > Electronic Engineering
Authors :
AuthorsEmailORCID
Armellin, RUNSPECIFIEDUNSPECIFIED
Di Lizia, PUNSPECIFIEDUNSPECIFIED
Zanetti, RUNSPECIFIEDUNSPECIFIED
Date : August 2016
Identification Number : https://doi.org/10.1007/s10569-016-9694-z
Copyright Disclaimer : © Springer Science+Business Media Dordrecht 2016
Uncontrolled Keywords : Initial orbit determination (IOD), Optical observations, Uncertainties mapping, Differential algebra (DA)
Depositing User : Symplectic Elements
Date Deposited : 23 Nov 2016 16:14
Last Modified : 23 Nov 2016 16:14
URI: http://epubs.surrey.ac.uk/id/eprint/812948

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