Enhancements to modified Chebyshev-Picard iteration efficiency for perturbed orbit propagation

B. Macomber, A. B. Probe, R. Woollands, J. Read, J. L. Junkins

Research output: Contribution to journalArticlepeer-review


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.

Original languageEnglish (US)
Pages (from-to)29-64
Number of pages36
JournalCMES - Computer Modeling in Engineering and Sciences
Issue number1
StatePublished - 2016
Externally publishedYes


  • Astrodynamics
  • Cheybshev polynomials
  • Orbit propagation
  • Picard iteration

ASJC Scopus subject areas

  • Software
  • Modeling and Simulation
  • Computer Science Applications


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