Numerical Manifold Approximation Method

Author: Tianjiang Shuo

Website: https://cislunarspace.cn

Definition

A method that approximates invariant manifold state points using two-dimensional interpolation (e.g., bicubic convolution interpolation). By representing manifold states as a bivariate function of the periodic orbit initial-point integration time and the manifold integration time, it pre-computes an interpolation database, allowing direct manifold point retrieval during optimization without repeated integration.

References

• 平动点双脉冲转移轨道的快速计算方法（潘迅 等，2017）