Stationarity Condition

Author: Tianjiang Shuo

Website: https://cislunarspace.cn

Definition

A necessary condition in optimal control theory requiring the partial derivative of the Hamiltonian with respect to control variables to be zero. This yields the analytical relationship between optimal thrust steering angles and costate variables.

Application Value

The stationarity condition relates optimal thrust direction to costate variables and forms the basis for deriving analytical guidance laws. In low-thrust trajectory optimization, this condition yields closed-form expressions for thrust steering angles, avoiding online numerical iteration.

References

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