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In this paper we develop and adaptive and self-tuning Picard-Chebyshev numerical integration method for propagating Earth orbits. In the equations of motion, we include the Earth's nonlinear gravity perturbations that are modeled using spherical harmonics.
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This page is a summary of: Nonlinear Differential Equation Solvers via Adaptive Picard–Chebyshev Iteration: Applications in Astrodynamics, Journal of Guidance Control and Dynamics, May 2019, American Institute of Aeronautics and Astronautics (AIAA),
DOI: 10.2514/1.g003318.
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