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Application of an evolution strategy in planetary ephemeris modeling

Mai, Enrico and Müller, Jürgen and Oberst, Jürgen (2019) Application of an evolution strategy in planetary ephemeris modeling. Advances in Space Research, 63 (1), pp. 728-749. Elsevier. DOI: 10.1016/j.asr.2018.09.011 ISSN 0273-1177

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Official URL: https://www.sciencedirect.com/science/article/pii/S0273117718307075

Abstract

Classical planetary ephemeris construction comprises three major steps which are to be performed iteratively: numerical integration of coupled equations of motion of a multi-body system (propagator step), reduction of observations (reduction step), and optimization of model parameters (adjustment step). In future, this approach may become challenged by further refinements in force modeling (e.g. inclusion of much more significant minor bodies than in the past), an ever-growing number of planetary observations (e.g. the vast amount of spacecraft tracking data), and big data issues in general. In order to circumvent the need for both the inversion of normal equation matrices and the determination of partial derivatives, and to prepare the ephemeris for applications apart from stand-alone solar-system planetary orbit calculations, here we propose an alternative ephemeris construction method. The main idea is to solve it as an optimization problem by straightforward direct evaluation of the whole set of mathematical formulas, rather than to solve it as an inverse problem with all its tacit mathematical assumptions and potential numerical difficulties. The usual gradient search is replaced by a stochastic search, namely an evolution strategy, the latter of which is perfect for the exploitation of parallel computing capabilities. Furthermore, this new approach allows for multi-criteria optimization and time-varying optima. These issues will become important in future once ephemeris construction is just one part of even larger optimization problems, e.g. the combined and consistent determination of a generalized physical state (orbit, size, shape, rotation, gravity, ...) of celestial bodies (planets, satellites, asteroids, or comets), and/or if one seeks near real-time solutions. Here, we outline the general idea and exemplarily optimize high-correlated asteroidal ring model parameters (total mass and heliocentric radius), and individual asteroid masses, based on simulated observations.

Item URL in elib:https://elib.dlr.de/131959/
Document Type:Article
Title:Application of an evolution strategy in planetary ephemeris modeling
Authors:
AuthorsInstitution or Email of AuthorsAuthors ORCID iD
Mai, EnricoInstitute of Geodesy, Leibniz University Hannover, Schneiderberg 50, 30167 Hannover, GermanyUNSPECIFIED
Müller, JürgenInstitute of Geodesy, Leibniz University Hannover, Schneiderberg 50, 30167 Hannover, GermanyUNSPECIFIED
Oberst, Jürgenjuergen.oberst (at) dlr.deUNSPECIFIED
Date:1 January 2019
Journal or Publication Title:Advances in Space Research
Refereed publication:Yes
Open Access:No
Gold Open Access:No
In SCOPUS:Yes
In ISI Web of Science:Yes
Volume:63
DOI :10.1016/j.asr.2018.09.011
Page Range:pp. 728-749
Publisher:Elsevier
ISSN:0273-1177
Status:Published
Keywords:Solar-system ephemeris, Asteroidal ring, Stochastic optimization, Evolution strategy
HGF - Research field:Aeronautics, Space and Transport
HGF - Program:Space
HGF - Program Themes:Space Science and Exploration
DLR - Research area:Raumfahrt
DLR - Program:R EW - Erforschung des Weltraums
DLR - Research theme (Project):R - Vorhaben Exploration des Sonnensystems
Location: Berlin-Adlershof
Institutes and Institutions:Institute of Planetary Research > Planetary Geodesy
Deposited By: Willner, Dr Konrad
Deposited On:04 Dec 2019 12:56
Last Modified:04 Dec 2019 12:56

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