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.
Papers with related authors:
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Papers with related keywords:
Efficient Covariance Interpolation Using Blending of Approximate State Error Transitions