Abstract

An approach to provide in-plane control for the first-order nonlinear Hill's equations describing relative motion of two satellites about a spherical Earth using Baumgarte stabilization is presented. The first-order nonlinear Hill's equations are stabilized with a modified Baumgarte technique using the system's Hamiltonian. This approach provides a significant reduction in the along-track drift with the nonlinear Hill's equations as compared to the linearized equations of motion.

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