Three-dimensional Lagrangian coherent structures in astrodynamics using differential algebra
Three-dimensional Lagrangian coherent structures in astrodynamics using differential algebra
Lagrangian Coherent Structures (LCS) have received attention for profiling dynamical behaviour and identifying separatrices between dynamical features in systems with arbitrary time-dependence. However, the method's use in astrodynamics has thus far largely been limited to two-dimensional motion. This talk will present DA-LCS, a new numerical method that uses Differential Algebra to find LCS in three-dimensional astrodynamics systems automatically and to higher accuracy than standard approaches. We demonstrate the method's out-performance of standard approaches on the Sun-Mars Elliptic-Restricted Three-Body Problem, and go on to show how the orbit parameterisation used affects the LCS found.
Tyler, Jack
c8a09eb1-5473-4d87-9446-2443f22b689d
Wittig, Alexander
3a140128-b118-4b8c-9856-a0d4f390b201
8 August 2022
Tyler, Jack
c8a09eb1-5473-4d87-9446-2443f22b689d
Wittig, Alexander
3a140128-b118-4b8c-9856-a0d4f390b201
Tyler, Jack and Wittig, Alexander
(2022)
Three-dimensional Lagrangian coherent structures in astrodynamics using differential algebra.
2022 AAS/AIAA Astrodynamics Specialist Conference, Le Meridien Charlotte, Charlotte, United States.
07 - 11 Aug 2022.
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Conference or Workshop Item
(Paper)
Abstract
Lagrangian Coherent Structures (LCS) have received attention for profiling dynamical behaviour and identifying separatrices between dynamical features in systems with arbitrary time-dependence. However, the method's use in astrodynamics has thus far largely been limited to two-dimensional motion. This talk will present DA-LCS, a new numerical method that uses Differential Algebra to find LCS in three-dimensional astrodynamics systems automatically and to higher accuracy than standard approaches. We demonstrate the method's out-performance of standard approaches on the Sun-Mars Elliptic-Restricted Three-Body Problem, and go on to show how the orbit parameterisation used affects the LCS found.
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Published date: 8 August 2022
Venue - Dates:
2022 AAS/AIAA Astrodynamics Specialist Conference, Le Meridien Charlotte, Charlotte, United States, 2022-08-07 - 2022-08-11
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Local EPrints ID: 485203
URI: http://eprints.soton.ac.uk/id/eprint/485203
PURE UUID: 171e16db-c945-42e7-ab86-b77876755825
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Date deposited: 01 Dec 2023 17:36
Last modified: 02 Dec 2023 02:51
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Author:
Jack Tyler
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