Enhancements to Modified Chebyshev-Picard Iteration Efficiency for Perturbed Orbit Propagation
B. Macomber , A. B. Probe , R. Woollands , J. Read and J. L. Junkins

doi:10.3970/cmes.2016.111.029
Source CMES: Computer Modeling in Engineering & Sciences, Vol. 111, No. 1, pp. 29-64, 2016
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Keywords Astrodynamics, Orbit Propagation, Cheybshev Polynomials, Picard Iteration.
Abstract

Modified Chebyshev Picard Iteration is an iterative numerical method for solving linear or non-linear ordinary differential equations. In a serial computational environment the method has been shown to compete with, or outperform, current state of practice numerical integrators. This paper presents several improvements to the basic method, designed to further increase the computational efficiency of solving the equations of perturbed orbit propagation.

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