PDF Transformation Rule

Author: Tianjiang Shuo

Website: https://cislunarspace.cn

Definition

Rule for transforming probability density functions between random vectors related by continuous one-to-one transformations, using the Jacobian determinant.

Application Value

This concept is applicable in cislunar space mission design, orbit optimization, and trajectory planning for spacecraft transfers and maneuver strategies.

Related Concepts

• Control Regularization
• Cholesky Factorization
• SPICE, SpiceyPy
• Parabolic Orbit

References

• Uncertain Lambert Problem