Pseudospectral Method

Author: Tianjiang Shuo

Website: https://cislunarspace.cn

Definition

A variant of the collocation method that uses Lagrange interpolating polynomials to approximate state variables and constructs constraints by enforcing differential equations at collocation points. Differs from traditional collocation mainly in polynomial construction and defect computation.

Application Value

In orbital design, analysis, and control, dynamics models are used to predict spacecraft trajectories, with equations of motion solved numerically or analytically. This concept underpins critical mission capabilities including orbital maneuver design, orbit improvement, and formation flying.

  • Orbit Improvement
  • Cluster Aggregation
  • Gravity Gradient Torque

References

  • Conway - 2010 - Spacecraft trajectory optimization
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Contributors: ouyangjiahong, Ou Yang Jiahong