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Using Newton's method to search for quasi-periodic relative satellite motion based on nonlinear Hamilton models

Research output: Contribution to conferencePaperpeer-review

In this paper, the monodromy variant of Newton’s method is applied to locate periodic or quasi-periodic relative satellite motion. Advantages of using Newton’s method to search for periodic or quasi-periodic relative satellite motion include simplicity of implementation, ability to deal with nonlinear dynamics, repeatability of the solutions due to its non-random nature, and fast convergence. A nonlinear Hamiltonian model is derived which incorporates eccentricity of the reference orbit, nonlinear gravitational terms and the J2 perturbation. Closed-loop control of relative satellite motion is simulated with the aid of a discrete LQR controller with impulsive actuation.
Original languageEnglish
Pages193 - 202
Publication statusPublished - 2006
Event7th Cranfield Conference on Dynamics and Control of Systems and Structures in Space - Cranfield University, Cranfield, United Kingdom
Duration: 1 Jan 2006 → …

Conference

Conference7th Cranfield Conference on Dynamics and Control of Systems and Structures in Space
CountryUnited Kingdom
CityCranfield
Period1/01/06 → …

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