Disturbed Manifold

Author: Tianjiang Shuo

Website: https://cislunarspace.cn

Definition

A modified manifold formed by applying a velocity impulse along the natural unstable manifold. Since the natural manifold typically does not reach the target orbit altitude, a deliberate maneuver at a chosen point redirects the trajectory, enabling it to intersect the target orbit. Disturbed manifolds extend the feasible transfer region beyond the fixed intersection points of natural zero-cost trajectories.

Application Value

The Disturbed Manifold 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

  • 乔琛远和杨乐平 - 2024 - 地月L1点低能转移轨道设计与优化
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