Zero Radial Velocity Condition

Author: Tianjiang Shuo

Website: https://cislunarspace.cn

Definition

The condition dr/dt = 0 at the intersection point of a trajectory with the Poincare section, a geometric characteristic of WSB points lying on stable manifolds.

Application Value

In orbit design and optimization, this concept is used to analyze spacecraft motion characteristics in the cislunar multi-body gravitational field, providing a theoretical basis for low-energy transfer trajectory design.

Related Concepts

• Lunar Fly-by Method
• Reachability Set
• Maximum-Energy Escape Trajectory
• Laplace Method

References

• Belbruno 等 - 2010 - Weak stability boundary and invariant manifolds