Periodic Solution

Author: Tianjiang Shuo

Website: https://cislunarspace.cn

Definition

The bounded solution in the fundamental solution set of linearized relative motion corresponding to the neutral real eigenvalue λ=1 of the monodromy matrix. In nonlinear dynamics, the periodic solution corresponds to co-orbital formation flight on the same DRO with a small phase offset, where the deputy maintains a fixed relative position to the chief without collision risk or exceeding the cooperative distance. It forms the dynamical basis for DRO close natural formation flight.

Application Value

周期解corresponding同一条 DRO 上相位略有different of 伴飞编队, 副星 and 主星maintain固定relative位置关系, is DRO 近distance自然伴飞编队 of 力学foundation.

References

  • Yang et al. 2023
  • Yang, Fu & Zhang 2023
  • Meyer和Offin - 2017
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Contributors: ouyangjiahong, Ou Yang Jiahong