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High order algorithms for the management of uncertainties with applications in space situational awareness

Armellin, R, Di Lizia, P, Morselli, A, Valli, M, Lavagna, M, Bernelli-Zazzera, F and Berz, M High order algorithms for the management of uncertainties with applications in space situational awareness In: 5th ICATT: International Conference on Astrodynamics Tools and Techniques, 2012-05-29 - 2012-06-01, Paris, France.

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Abstract

Space situational awareness program, for both NEO and debris segments, have to face the challenging problem of accurately managing uncertainties in highly nonlinear dynamical environments. The uncertainties affect all the main phases necessary for the successful realization of the program; i.e., orbital determination, ephemeris prediction, collision probability computation, and collision avoidancemaneuver planning and execution. Since the amount of data that must be processed is huge, efficient methods for the management of uncertainties are required. Differential algebraic (DA) techniques can represent a valuable tool to address this tasks. Differential algebra supplies the tools to compute the derivatives of functions within a computer environment. This technique allows for the efficient computation of high-order expansions of the flow of ordinary differential equations (with respect to initial conditions and/or model parameters) and the approximation of the solution manifold of implicit equations in Taylor series. These two features constitute the building blocks of a set new algorithms for the nonlinear and efficient management of uncertainties. Applications to 1) angles-only preliminary orbit determination 2) propagation of orbital dynamics 3) nonlinear filtering 4) space conjunction prediction 5) robust optimal control are presented to prove the efficiency of DA based algorithms.

Item Type: Conference or Workshop Item (Conference Paper)
Subjects : Electronic Engineering
Divisions : Faculty of Engineering and Physical Sciences > Electronic Engineering
Authors :
AuthorsEmailORCID
Armellin, RUNSPECIFIEDUNSPECIFIED
Di Lizia, PUNSPECIFIEDUNSPECIFIED
Morselli, AUNSPECIFIEDUNSPECIFIED
Valli, MUNSPECIFIEDUNSPECIFIED
Lavagna, MUNSPECIFIEDUNSPECIFIED
Bernelli-Zazzera, FUNSPECIFIEDUNSPECIFIED
Berz, MUNSPECIFIEDUNSPECIFIED
Depositing User : Symplectic Elements
Date Deposited : 20 Dec 2016 11:49
Last Modified : 20 Dec 2016 11:49
URI: http://epubs.surrey.ac.uk/id/eprint/813154

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