Multi-Solution Property of Three-Body Lambert Problem

Author: Tianjiang Shuo

Website: https://cislunarspace.cn

Definition

The phenomenon that a three-body Lambert problem may admit multiple transfer trajectory solutions, caused by the nonlinear dynamics of the three-body system. For the same pair of initial and final positions and transfer time, short-arc, long-arc, and even multi-revolution solutions may coexist. This contrasts with the two-body Lambert problem (at most two solutions) and introduces additional complexity for trajectory selection in practice.

Application Value

在设计地月转移方案时，利用该轨道特性可降低任务总速度增量需求。该模型是分析地月空间动力学、设计低能量转移轨道的基础工具。Lambert问题是轨道转移设计的基础，可求解两点边值问题。

References

  • 基于三体Lambert算法的平动点交会轨道设计
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