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Element sets for high-order Poincaré mapping of perturbed Keplerian motion

Gondelach, David J. and Armellin, Roberto (2018) Element sets for high-order Poincaré mapping of perturbed Keplerian motion Celestial Mechanics and Dynamical Astronomy, 130 (65).

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Abstract

The propagation and Poincaré mapping of perturbed Keplerian motion is a key topic in celestial mechanics and astrodynamics, e.g. to study the stability of orbits or design bounded relative trajectories. The high-order transfer map (HOTM) method enables efficient mapping of perturbed Kep- lerian orbits using the high-order Taylor expansion of a Poincaré or strobo-scopic map. The HOTM is only accurate close to the expansion point and therefore the number of revolutions for which the map is accurate tends to be limited. The proper selection of coordinates is of key importance for im- proving the performance of the HOTM method. In this paper, we investigate the use of different element sets for expressing the high-order map in order to find the coordinates that perform best in terms of accuracy. A new set of elements is introduced that enables extremely accurate mapping of the state, even for high eccentricities and higher-order zonal perturbations. Finally, the high-order map is shown to be very useful for the determination and study of fixed points and center manifolds of Poincaré maps.

Item Type: Article
Divisions : Faculty of Engineering and Physical Sciences > Electronic Engineering
Authors :
NameEmailORCID
Gondelach, David J.
Armellin, Robertor.armellin@surrey.ac.uk
Date : 25 September 2018
DOI : 10.1007/s10569-018-9859-z
Copyright Disclaimer : © Springer Nature B.V. 2018
Uncontrolled Keywords : Poincaré map; Stroboscopic map; Orbit propagation; Orbit element sets
Related URLs :
Depositing User : Clive Harris
Date Deposited : 10 Sep 2018 08:01
Last Modified : 13 Nov 2018 16:18
URI: http://epubs.surrey.ac.uk/id/eprint/849241

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