Jacobi Energy

Author: Tianjiang Shuo

Website: https://cislunarspace.cn

Definition

The energy integral in the restricted three-body problem, defined as C = -2E = -(ẋ²+ẏ²) + 2Ω where Ω is the pseudo-potential function. Jacobi energy partitions phase space accessible regions: below the L₁ threshold, transit through the L₁ neck is possible; below the L₂ threshold, travel between cislunar and exterior space becomes feasible. The core parameter for classifying cislunar transfer trajectories in this paper.

References

  • Liang 等 - 2016 - The classification of cislunar trajectories and its applications in the Earth–moon system