Gaussian Smoothing Technique, GST

Author: Tianjiang Shuo

Website: https://cislunarspace.cn

Definition

A discontinuity-approximation method based on the Gaussian error function (erf). It uses parameterized S-shaped curves to progressively approximate discontinuous signum functions by gradually reducing the smoothing parameter rho, thereby improving convergence of indirect optimization methods and avoiding local optima. Unlike the generalized Gaussian smoothing homotopy method, GST directly approximates discontinuities with erf rather than performing time-domain convolution on the system.

Application Value

Gaussian Smoothing Technique, GST plays an important role in orbital mechanics and mission planning, applicable for analyzing spacecraft motion characteristics and optimizing transfer trajectories.

References

Zhang Z et al. 2026, Space Sci. Technol. 6:0441

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Contributors: ouyangjiahong, Ou Yang Jiahong