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arXiv · 1511.08121

Circular orbit spacecraft control at the L4 point using Lyapunov functions

Rachana Agrawal·Ravi N Banavar
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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.

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Rachana Agrawal, Ravi N Banavar. 2015-11-25. Circular orbit spacecraft control at the L4 point using Lyapunov functions. https://arxiv.org/abs/1511.08121

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