PARALLEL MODIFIED CHEBYSHEV PICARD ITERATION FOR ORBIT CATALOG PROPAGATION AND MONTE CARLO ANALYSIS Conference Paper

abstract

• Copyright 2015 California Institute of Technology. Modified Chebyshev Picard Iteration is a numerical method for integrating Ordinary Differential Equations. MCPI in a serial setting has been shown to improve the speed of orbit propagation computations by orders of magnitude over current state-of-the-practice methods. This paper presents a parallel MCPI framework for integrating the equations of perturbed orbital motion. It consists of a parallelized set of serial MCPI instances running in a compute cluster environment. Additionally, a first order Taylor series gravity approximation method is presented that allows MCPI to propagate orbits in the vicinity of a reference trajectory with vastly decreased computational cost. Two applications of parallel propagation are demonstrated, satellite catalog propagation, and Monte Carlo analysis of a system of particles.

authors

• Junkins, John

published proceedings

• GUIDANCE, NAVIGATION, AND CONTROL 2015

author list (cited authors)

• Macomber, B., Probe, A., Woollands, R., & Junkins, J. L.

complete list of authors

• Macomber, Brent||Probe, Austin||Woollands, Robyn||Junkins, John L

publication date

• January 2015

published in

• Spaceflight Mechanics 2005, Vol 120, Pts 1 and 2  Journal

International Standard Book Number (ISBN) 13

• 978-0-87703-621-0

start page

• 1027

end page

• 1038

volume

• 154