Unperturbed Problem

Author: Tianjiang Shuo

Website: https://cislunarspace.cn

Definition

The form of the three-body problem considering only the primary gravitational effects without other perturbations. In the restricted three-body problem, this means neglecting the third body's influence on the primaries.

Application Value

The Unperturbed Problem 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

  • Szebehely - 1967 - Theory of orbit the restricted problem of three bodies
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Contributors: ouyangjiahong, Ou Yang Jiahong