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Orbital Covariance Interpolation

Orbital Covariance Interpolation - Paper

Id: 232

Type: Conference paper

Published: 02/10/2004

Event: AAS/AIAA Space Flight Mechanics Conference 2004


Abstract:

This work derives two interpolators to determine the intermediate covariance of a space object’s position. Two considerations are given to the derivations. The first is that the covariance matrix changes direction and shape with orbital motion as reflected in its first and second derivatives with respect to time. In the absence of such derivatives, the second consideration is that covariance growth can be reasonably modeled by including data that is outside the immediate time interval of concern. These two considerations incorporate orbital motion with time-associated covariance growth/reorientation to produce realistic intermediate covariance matrices while precisely matching them at the start and end of a given time interval. The method is computationally simple, using matrix algebra with no eigenvalue or eigenvector determination. Earth-Centered Inertial data (ECI) does not require a coordinate transformation for the first interpolator.

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Citation:

Alfano, S., "Orbital Covariance Interpolation," AAS/AIAA Space Flight Mechanics Conference, AAS 04-223, Maui, HI USA, 8-12 February 2004, accessible at https://comspoc.com/Resources/Content/Private/C-20220422T163604/Paper/20040214_Alfano_Covariance_Interpolation_AAS-04-223.pdf.

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