High order transfer maps for perturbed Keplerian motion
High order transfer maps for perturbed Keplerian motion
The paper presents a new semi-analytical technique for the propagation of near-Earth satellite motion. The approach uses differential algebra techniques to compute the high order expansion of the solution of the system’s ordinary differential equation for one orbital revolution, referred to as the transfer map. Once computed, a single high order transfer map (HOTM) can be reused to map an initial condition, or a set of initial conditions, forward in time for many revolutions. The only limiting factor is that the mapped objects must stay close to the reference orbit such that they remain within the region of validity of the HOTM. The performance of the method is assessed through a set of test cases in which both autonomous and non-autonomous perturbations are considered, including the case of continuously propelled trajectories.
orbit propagation, perturbed keplerian motion, differential algebra, high-order transfer map method
333-358
Wittig, Alexander
3a140128-b118-4b8c-9856-a0d4f390b201
Armellin, Roberto
61950d5c-3dcf-45f5-b391-7e8c6ffb8e6f
August 2015
Wittig, Alexander
3a140128-b118-4b8c-9856-a0d4f390b201
Armellin, Roberto
61950d5c-3dcf-45f5-b391-7e8c6ffb8e6f
Wittig, Alexander and Armellin, Roberto
(2015)
High order transfer maps for perturbed Keplerian motion.
Celestial Mechanics and Dynamical Astronomy, 122 (4), .
(doi:10.1007/s10569-015-9621-8).
Abstract
The paper presents a new semi-analytical technique for the propagation of near-Earth satellite motion. The approach uses differential algebra techniques to compute the high order expansion of the solution of the system’s ordinary differential equation for one orbital revolution, referred to as the transfer map. Once computed, a single high order transfer map (HOTM) can be reused to map an initial condition, or a set of initial conditions, forward in time for many revolutions. The only limiting factor is that the mapped objects must stay close to the reference orbit such that they remain within the region of validity of the HOTM. The performance of the method is assessed through a set of test cases in which both autonomous and non-autonomous perturbations are considered, including the case of continuously propelled trajectories.
Text
art%3A10.1007%2Fs10569-015-9621-8.pdf
- Accepted Manuscript
More information
Accepted/In Press date: 29 April 2015
e-pub ahead of print date: 20 May 2015
Published date: August 2015
Keywords:
orbit propagation, perturbed keplerian motion, differential algebra, high-order transfer map method
Organisations:
Astronautics Group
Identifiers
Local EPrints ID: 377354
URI: http://eprints.soton.ac.uk/id/eprint/377354
ISSN: 0923-2958
PURE UUID: af70c993-00de-4821-ab2a-1182d3cf5b35
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Date deposited: 03 Jun 2015 14:14
Last modified: 15 Mar 2024 03:58
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