Circular orbit spacecraft control at the L4 point using Lyapunov functions
Dynamical Systems
2016-04-15 v2 Space Physics
Abstract
The objective of this work is to demonstrate the utility of Lyapunov functions in control synthesis for the purpose of maintaining and stabilizing a spacecraft in a circular orbit around the L4 point in the circular restricted three body problem (CRTBP). Incorporating the requirements of a fixed radius orbit and a desired angular momentum, a Lyapunov function is constructed and the requisite analysis is performed to obtain a controller. Asymptotic stability is proved in a defined region around the L4 point using LaSalle's principle.
Keywords
Cite
@article{arxiv.1511.08121,
title = {Circular orbit spacecraft control at the L4 point using Lyapunov functions},
author = {Rachana Agrawal and Ravi N Banavar},
journal= {arXiv preprint arXiv:1511.08121},
year = {2016}
}
Comments
Accepted for presentation at European Control Conference 2016