Hamiltonian

Author: Tianjiang Shuo Website: https://cislunarspace.cn

Definition

A scalar function constructed from state and costate variables in optimal control problems. In low-thrust trajectory optimization, it unifies the dynamics, control variables, and performance index into a single function. For autonomous systems, its time derivative along the optimal trajectory is zero. It is the core tool for deriving optimal control laws.

Application Value

This concept plays a key role in trajectory transfer design, helping evaluate transfer costs and flight time to provide quantitative basis for mission trade studies. Combined with global search algorithms, multiple solution families and Pareto frontiers can be identified to guide orbital design decisions.

References

  • Oshima et al. 2017
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Contributors: ouyangjiahong, Ou Yang Jiahong