Natural Hamiltonian

Author: Tianjiang Shuo

Website: https://cislunarspace.cn

Definition

The Hamiltonian in CR3BP composed of kinetic and potential energy, H_nat = v²/2 - (x²+y²)/2 - (1-μ)/r_13 - μ/r_23, conserved in the unperturbed CR3BP.

Application Value

This term has significant practical applications in cislunar mission planning and execution.

  • Hidden-Genes Genetic Algorithm, HGGA
  • Variable-Size Design Space, VSDS
  • Station-Keeping
  • Target Point Method

References

  • Cox 等 - 2021
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Contributors: ouyangjiahong, Ou Yang Jiahong