State Transition Tensor

Author: Tianjiang Shuo

Website: https://cislunarspace.cn

Definition

The second-order generalization of the State Transition Matrix (STM), capturing how small variations in initial orbital state nonlinearly propagate to affect terminal state. While the STM is a Jacobian (first-order), the STT includes Hessian (second-order) information, used in HDDP backward sweeps to construct second-order optimal control policies. Including second-order information accelerates convergence, especially in highly nonlinear many-revolution transfer problems.

Application Value

State transition tensors contain second-order sensitivity information, used in HDDP backward sweeps to construct second-order optimal control laws and accelerate convergence.

References

  • Oue等 - 2025 - Low-Thrust Many-Revolution Transfer between Near Rectilinear Halo Orbit and Low Lunar Orbit Using Hybrid Differential Dynamic Programming
Improve this page
Last Updated:
Contributors: ouyangjiahong, Ou Yang Jiahong