Legendre-Clebsch Condition

Author: Tianjiang Shuo

Website: https://cislunarspace.cn

Definition

Second-order necessary condition in optimal control theory, requiring the second partial derivative of the Hamiltonian with respect to control variables to be nonnegative. Used to determine the correct sign of thrust steering angles.

Application Value

Based on its definition, second-order necessary condition in optimal control theory, requiring the second partial derivative of the hamiltonian with respect to control variables to be nonnegative. used to determine the correc.

  • 三体问题（Three-Body Problem）
  • 最优控制（Optimal Control）
  • 轨迹优化（Trajectory Optimization）

References

  • Kluever and Pierson, 1997, Optimal Earth-Moon Trajectories Using Nuclear Electric Propulsion
Improve this page
Last Updated:
Contributors: ouyangjiahong, Ou Yang Jiahong