Dissertation/Thesis Abstract

Parallel high-precision orbit propagation using the modified Picard-Chebyshev method
by Koblick, Darin C., M.S., California State University, Long Beach, 2012, 93; 1521628
Abstract (Summary)

The modified Picard-Chebyshev method, when run in parallel, is thought to be more accurate and faster than the most efficient sequential numerical integration techniques when applied to orbit propagation problems. Previous experiments have shown that the modified Picard-Chebyshev method can have up to a one order magnitude speedup over the 12th order Runge-Kutta-Nystrom method. For this study, the evaluation of the accuracy and computational time of the modified Picard-Chebyshev method, using the Java Astrodynamics Toolkit high-precision force model, is conducted to assess its runtime performance. Simulation results of the modified Picard-Chebyshev method, implemented in MATLAB and the MATLAB Parallel Computing Toolbox, are compared against the most efficient first and second order Ordinary Differential Equation (ODE) solvers. A total of six processors were used to assess the runtime performance of the modified Picard-Chebyshev method. It was found that for all orbit propagation test cases, where the gravity model was simulated to be of higher degree and order (above 225 to increase computational overhead), the modified Picard-Chebyshev method was faster, by as much as a factor of two, than the other ODE solvers which were tested.

Indexing (document details)
Advisor: Shankar, Praveen
Commitee: Besnard, Eric, Esfandiari, Ramin, Shankar, Praveen
School: California State University, Long Beach
Department: Mechanical and Aerospace Engineering
School Location: United States -- California
Source: MAI 51/04M(E), Masters Abstracts International
Subjects: Aerospace engineering, Astrophysics, Computer science
Publication Number: 1521628
ISBN: 978-1-267-79057-6
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