Gauss Pseudospectral Method, GPM

Author: Tianjiang Shuo

Website: https://cislunarspace.cn

Definition

A pseudospectral method that discretizes continuous optimal control problems into nonlinear programming using Gauss points as nodes and Lagrange polynomials to approximate states and controls.

Application Value

Gauss Pseudospectral Method, GPM plays an important role in orbital mechanics and mission planning, applicable for analyzing spacecraft motion characteristics and optimizing transfer trajectories.

Related Concepts

• Libration Point Orbit
• State Transition Matrix
• Six-Degree-of-Freedom
• Circular Non-linear Equations of Relative Motion

References

Liu 等 - 2025 - Rendezvous and docking operations in near rectilinear halo orbits