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Long-Term Density Evolution through Semi-Analytical and Differential Algebra Techniques

Wittig, A, Colombo, C and Armellin, Roberto (2017) Long-Term Density Evolution through Semi-Analytical and Differential Algebra Techniques Celestial Mechanics and Dynamical Astronomy, 128 (4). pp. 435-452.

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Abstract

This paper introduces and combines for the first time two techniques to allow long-term density propagation in astrodynamics. First, we introduce an efficient method for the propagation of phase space densities based on Di↵erential Algebra (DA) techniques. Second, this DA density propagator is used in combination with a DA implementation of the averaged orbital dynamics through semi-analytical methods. This approach combines the power of orbit averaging with the efficiency of DA techniques. While the DA-based method for the propagation of densities introduced in this paper is independent of the dynamical system under consideration, the particular combination of DA techniques with averaged equations of motion yields a fast and accurate technique to propagate large clouds of initial conditions and their associated probability density functions very efficiently for long time. This enables the study of the long-term behavior of particles subjected to the given dynamics. To demonstrate the e↵ectiveness of the proposed approach, the evolution of a cloud of high area-to-mass objects in Medium Earth Orbit is reproduced considering the e↵ects of solar radiation pressure, the Earth’s oblateness and luni-solar perturbations. The method can easily propagate 10, 000 random fragments and their density for 1 year within a few seconds on a common desktop PC.

Item Type: Article
Subjects : Electronic Engineering
Divisions : Faculty of Engineering and Physical Sciences > Electronic Engineering
Authors :
NameEmailORCID
Wittig, AUNSPECIFIEDUNSPECIFIED
Colombo, CUNSPECIFIEDUNSPECIFIED
Armellin, Robertor.armellin@surrey.ac.ukUNSPECIFIED
Date : 28 February 2017
Identification Number : 10.1007/s10569-017-9756-x
Copyright Disclaimer : The final publication is available at Springer via http://dx.doi.org/10.1007/s10569-017-9756-x
Uncontrolled Keywords : Density Propagation · Astrodynamics · Semi analytical · Orbit averaging · Di↵erential Algebra
Related URLs :
Depositing User : Symplectic Elements
Date Deposited : 03 Mar 2017 13:19
Last Modified : 06 Sep 2017 12:49
URI: http://epubs.surrey.ac.uk/id/eprint/813686

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