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Many-Revolution Low-Thrust Transfers within Periodic Orbit Families

  • Ian M. Down
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Abstract

This paper explores the use of a reduced manifold space initialization method for the generation of both time and fuel optimal many-revolution, low-thrust transfers between three-body periodic orbits within a family. Libration point orbit families are approximated by multi-segment Chebyshev polynomials and 1-dimensional Fourier series. Control is mapped into the family space, and a 1-dimensional targeting scheme in the family space dynamics is used to generate an initial guess for the phase space, directly accounting for winding. An integral collocation-based direct method is then used to first continue a feasible trajectory into the phase space, and then optimize for a particular cost function. The methodology is first applied to the distant retrograde orbit family. Modifications for time-regularized dynamics are then discussed, with an ensuing example of many-revolution transfers in the L2 halo family.

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Cite

BibTeXRIS
BibTeX
@misc{down2026manyrevolution,
  title = {{Many-Revolution Low-Thrust Transfers within Periodic Orbit Families}},
  author = {Ian M. Down},
  howpublished = {arXiv},
  year = {2026},
  month = aug,
  doi = {10.48550/arxiv.2608.27849},
  eprint = {2608.27849},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2608.27849},
}
RIS
TY  - UNPB
TI  - Many-Revolution Low-Thrust Transfers within Periodic Orbit Families
AU  - Ian M. Down
PY  - 2026
DA  - 2026/08/28
PB  - arXiv
DO  - 10.48550/arxiv.2608.27849
UR  - https://arxiv.org/abs/2608.27849
AB  - This paper explores the use of a reduced manifold space initialization method for the generation of both time and fuel optimal many-revolution, low-thrust transfers between three-body periodic orbits within a family. Libration point orbit families are approximated by multi-segment Chebyshev polynomials and 1-dimensional Fourier series. Control is mapped into the family space, and a 1-dimensional targeting scheme in the family space dynamics is used to generate an initial guess for the phase space, directly accounting for winding. An integral collocation-based direct method is then used to first continue a feasible trajectory into the phase space, and then optimize for a particular cost function. The methodology is first applied to the distant retrograde orbit family. Modifications for time-regularized dynamics are then discussed, with an ensuing example of many-revolution transfers in the L_2 halo family.
ER  -