@inproceedings{c07245fc141d49389ba0ae61413b9d7c,
title = "Application of Modified Chebyshev Picard Iteration to differential correction for improved robustness and computation time",
abstract = "A novel application of Modified Chebyshev Picard Iteration (MCPI) to differential correction is presented. By leveraging the Chebyshev basis functions of MCPI, interpolation in 1 dimension may be used to target plane crossing events, instead of integrating the 42 dimensional variational equation required for standard step integrators. This results in dramatically improved performance over traditional differential correctors. MCPI was tested against the Runge-Kutta 7/8 integrator on over 45,000 halo orbits in three different three-body problems, and was found to be an order of magnitude faster, while simultaneously increasing robustness.",
author = "Travis Swenson and Robyn Woollands and John Junkins and Martin Lo",
note = "Copyright: Copyright 2017 Elsevier B.V., All rights reserved.; 26th AAS/AIAA Space Flight Mechanics Meeting, 2016 ; Conference date: 14-02-2016 Through 18-02-2016",
year = "2016",
language = "English (US)",
isbn = "9780877036333",
series = "Advances in the Astronautical Sciences",
publisher = "Univelt Inc.",
pages = "543--558",
editor = "Ozimek, \{Martin T.\} and Renato Zanetti and Bowes, \{Angela L.\} and Russell, \{Ryan P.\} and Ozimek, \{Martin T.\}",
booktitle = "Spaceflight Mechanics 2016",
address = "United States",
}