Characteristic Multiplier
Author: Tianjiang Shuo
Website: https://cislunarspace.cn
Definition
Eigenvalues of the monodromy matrix C in Floquet theory. Characteristic multipliers govern the evolution of perturbations near a periodic orbit: multipliers with modulus greater than 1 correspond to exponentially divergent unstable modes, modulus equal to 1 to neutral modes (center manifold), and modulus less than 1 to decaying stable modes. For Halo orbits, the six multipliers are one real value greater than 1, its reciprocal, two unit real values, and one complex conjugate pair.
Application Value
在特征乘子的设计与分析中，可用于优化转移方案，减少燃料消耗 该概念为地月空间任务设计提供了重要的理论基础 在实际工程中可用于轨道设计、任务规划或控制系统分析。
Related Concepts
- 对偶控制变换（Adjoint-Control Transformation）
- 贝叶斯压缩感知（Bayesian Compressive Sensing）
- Lyapunov轨道（Lyapunov Orbit）
- 状态转移矩阵（State Transition Matrix）