Floquet Modal Method
Author: Tianjiang Shuo
Website: https://cislunarspace.cn
Definition
A libration point orbit maintenance method based on Floquet theory. It decomposes the state deviation into six Floquet modes corresponding to unstable, neutral, and stable components; impulse control eliminates only the exponentially growing unstable component while neglecting the remaining slowly varying ones. Maneuvers are triggered when the unstable component exceeds a threshold, with frequency inversely proportional to the threshold. Compared to nominal trajectory tracking, this method consumes less fuel and features long impulse intervals, making it suitable for deep-space missions sensitive to instrument disturbances.
Application Value
The Floquet Modal Method decomposes state deviations into six Floquet modes corresponding to unstable, neutral, and stable components. Impulse control eliminates only the exponentially growing unstable component while neglecting slowly varying ones. Compared to nominal trajectory tracking, this method consumes less fuel and features long impulse intervals, making it suitable for deep-space missions sensitive to instrument disturbances.
Related Concepts
- Asymptotic Solution
- Perilune Database
- Libration Point Orbit Cataloging