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https://hdl.handle.net/2142/81826
Description
Title
Quick Evaluation of Small Body Gravitation
Author(s)
Colombi, Andrew C.
Issue Date
2008
Doctoral Committee Chair(s)
Anil N. Hirani
Department of Study
Computer Science
Discipline
Computer Science
Degree Granting Institution
University of Illinois at Urbana-Champaign
Degree Name
Ph.D.
Degree Level
Dissertation
Keyword(s)
Computer Science
Language
eng
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.
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