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Semi-analytical propagation with drag computation and flow expansion using differential algebra

Gondelach, DJ, Armellin, Roberto, Lewis, H, San Juan, JF and Wittig, A (2017) Semi-analytical propagation with drag computation and flow expansion using differential algebra In: 27 th AAS/AIAA Space Flight Mechanics Meeting, 2017-02-05 - 2017-02-09, San Antonio, Texas.

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Gondelach et al 2017 - Semi-Analytical Propagation With Drag Computation And Flow Expansion Using Differential Algebra (002).pdf - Accepted version Manuscript
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Abstract

Efficient long-term propagation of orbits is needed for e.g. the design of disposal orbits and analysis of their stability. Semi-analytical methods are suited for this as they combine accuracy and efficiency. However, the semi-analytical modelling of non-conservative forces is challenging and in general numerical quadrature is required to accurately average their effects, which reduces the efficiency of semianalytical propagation. In this work we apply Differential Algebra (DA) for efficient evaluation of the mean element rates due to drag. The effect of drag is computed numerically in the DA arithmetic such that in subsequent integration steps the drag can be calculated by only evaluating a DA expansion. The method is tested for decaying low Earth and geostationary transfer orbits and it is shown that the method can provide accurate propagation with reduced computation time with respect to nominal semi-analytical and numerical propagation. Furthermore, the semi-analytical propagator is entirely implemented in DA to enable higherorder expansion of the flow that can be used for efficient propagation of initial conditions. The approach is applied to expand the evolution of a Galileo disposal orbit. The results show a large validity domain of the expansion which represents a promising result for the application of the method for e.g. stability analysis.

Item Type: Conference or Workshop Item (Conference Paper)
Subjects : Electronic Engineering
Divisions : Faculty of Engineering and Physical Sciences > Electronic Engineering
Authors :
NameEmailORCID
Gondelach, DJUNSPECIFIEDUNSPECIFIED
Armellin, Robertor.armellin@surrey.ac.ukUNSPECIFIED
Lewis, HUNSPECIFIEDUNSPECIFIED
San Juan, JFUNSPECIFIEDUNSPECIFIED
Wittig, AUNSPECIFIEDUNSPECIFIED
Date : 2017
Copyright Disclaimer : Copyright 2017 by the American Astronomical Society
Contributors :
ContributionNameEmailORCID
UNSPECIFIEDAmerican Astronomical Society, UNSPECIFIEDUNSPECIFIED
Related URLs :
Depositing User : Symplectic Elements
Date Deposited : 03 Mar 2017 13:59
Last Modified : 19 Jul 2017 12:20
URI: http://epubs.surrey.ac.uk/id/eprint/813687

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