Lambert's Theorem

Author: Tianjiang Shuo

Website: https://cislunarspace.cn

Definition

Theorem stating that for given two position vectors and time of flight, the transfer orbit is independent of the transfer path (number of revolutions), forming the basis of Lambert's problem.

Application Value

The Lambert's Theorem 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

  • 张洪波 - 2015 - 航天器轨道力学理论与方法
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Contributors: ouyangjiahong, Ou Yang Jiahong