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Title:Quick Evaluation of Small Body Gravitation
Author(s):Colombi, Andrew C.
Subject(s):numerical analysis
computer science
Abstract:Numerical integration of ordinary differential equations resulting from the gravitation of nearby celestial small bodies is the subject of this thesis. We present three methods that alleviate the computational burden of evaluating gravitational force near a small body: i) adaptive polynomial interpolation, ii) adaptive polynomial least squares approximation, and iii) acceleration via specialized, commodity hardware. Each method is evaluated on its quantitative accuracy with respect to a reference model, and its observance of qualitative features of gravity. We conclude with a summary of methods available for computing small body gravitation, and recommendations for different scenarios.
Issue Date:2008-08
Genre:Technical Report
Other Identifier(s):UIUCDCS-R-2008-2991
Rights Information:You are granted permission for the non-commercial reproduction, distribution, display, and performance of this technical report in any format, BUT this permission is only for a period of 45 (forty-five) days from the most recent time that you verified that this technical report is still available from the University of Illinois at Urbana-Champaign Computer Science Department under terms that include this permission. All other rights are reserved by the author(s).
Date Available in IDEALS:2009-04-23

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