Vertically Stable Manifold

Author: Tianjiang Shuo

Website: https://cislunarspace.cn

Definition

The stable manifold associated with the vertical instability of planar Lyapunov orbits. An initial small perturbation along the vertical stable eigenvector direction evolves along the stable manifold and can be amplified through multiple lunar flybys, resulting in significant changes in out-of-plane deviation.

Application Value

The stable manifold associated with the vertical instability of planar Lyapunov orbits. An initial small perturbation along the vertical stable eigenvector direction evolves along the stable manifold and can be amplified through multiple lunar flybys, resulting in significant changes in out-of-plane deviation.

Related Concepts

• Bivariate Gaussian Distribution
• Midcourse Impulse
• Zero-Thrust Reference Trajectory
• Co-state Variables

References

• Oshima, 2019, Celestial Mechanics and Dynamical Astronomy