Quasilinearization Method

Author: Tianjiang Shuo

Website: https://cislunarspace.cn

Definition

A numerical method that transforms a nonlinear two-point boundary value problem into a series of iteratively solved linear TPBVPs. At each iteration, the dynamics are linearized about the current solution, converting the problem into a set of linear equations that progressively converge to the nonlinear solution. It offers superior convergence compared to traditional differential correction and is suitable for onboard autonomous guidance.

Application Value

This method offers superior convergence compared to traditional differential correction and is suitable for onboard autonomous guidance in low-energy Earth-Moon transfers.

References

  • Wang 等 - 2024 - Low-energy earth–moon transfer autonomous guidance considering high-fidelity orbital dynamics
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Contributors: ouyangjiahong, Ou Yang Jiahong