Probabilistic initial orbit determination
Probabilistic initial orbit determination
Future space surveillance requires dealing with uncertainties directly in the initial orbit determination phase. We propose an approach based on Taylor differential algebra to both solve the initial orbit determination (IOD) problem and to map uncertainties from the observables space into the orbital elements space. This is achieved by approximating in Taylor series the general formula for pdf mapping through nonlinear transformations. In this way the mapping is obtained in an elegant and general fashion. The proposed approach is applied to both angles-only and two position vectors IOD for objects in LEO and GEO.
Armellin, Roberto
61950d5c-3dcf-45f5-b391-7e8c6ffb8e6f
Di Lizia, Pierluigi
f86916ba-a73b-42a9-8247-558335c21f22
16 February 2016
Armellin, Roberto
61950d5c-3dcf-45f5-b391-7e8c6ffb8e6f
Di Lizia, Pierluigi
f86916ba-a73b-42a9-8247-558335c21f22
Armellin, Roberto and Di Lizia, Pierluigi
(2016)
Probabilistic initial orbit determination.
26th AAS/AIAA Space Flight Mechanics Meeting, Napa, United States.
14 - 18 Feb 2016.
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Conference or Workshop Item
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Abstract
Future space surveillance requires dealing with uncertainties directly in the initial orbit determination phase. We propose an approach based on Taylor differential algebra to both solve the initial orbit determination (IOD) problem and to map uncertainties from the observables space into the orbital elements space. This is achieved by approximating in Taylor series the general formula for pdf mapping through nonlinear transformations. In this way the mapping is obtained in an elegant and general fashion. The proposed approach is applied to both angles-only and two position vectors IOD for objects in LEO and GEO.
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Published date: 16 February 2016
Venue - Dates:
26th AAS/AIAA Space Flight Mechanics Meeting, Napa, United States, 2016-02-14 - 2016-02-18
Organisations:
Astronautics Group
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Local EPrints ID: 390310
URI: http://eprints.soton.ac.uk/id/eprint/390310
PURE UUID: c3920d5c-6487-47cb-a82f-faaa73fd333e
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Date deposited: 23 Mar 2016 12:24
Last modified: 14 Mar 2024 23:15
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Author:
Pierluigi Di Lizia
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