Jacobi Constant Matching

Author: Tianjiang Shuo

Website: https://cislunarspace.cn

Definition

The condition in phase plots where Earth–Moon and Sun–Earth manifolds have equal Jacobi constant values, enabling intersection at the hyperplane projection.

Application Value

When designing cross-system transfer trajectories, matching the Jacobi constant of Earth-Moon manifolds with that of Sun-Earth manifolds ensures intersection at the hyperplane projection, enabling zero-cost transfer channels from Earth to Moon.

Related Concepts

• Libration Point Orbit
• Invariant Manifold
• Impulsive Maneuver
• Halo Orbit

References

• Kakoi 等 - 2014