Restricted Region

Author: Tianjiang Shuo

Website: https://cislunarspace.cn

Definition

A region on the lunar surface where direct-ascent transfer trajectories do not exist. Penzo (1961) found such a region near lunar longitude 270 deg. This study shows the region shifts with Jacobi constant and becomes less distinct when solar perturbations are included.

Application Value

The Restricted Region plays a significant role in cislunar space mission design, analysis, and control. In orbital design, it can be leveraged for transfer trajectory optimization; in navigation and control, it improves mission execution precision and reliability; in system analysis, it facilitates deeper understanding of complex multi-body dynamical behavior, guiding mission planning and risk assessment.

  • J2-Invariant Orbit
  • Interior Point Optimization
  • N-Body Dynamics
  • Start-End State Constraint

References

  • Penzo, 1961, NASA CR-132100; Anderson and Parker, 2012
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Contributors: ouyangjiahong, Ou Yang Jiahong