{
  "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 $L_2$ halo family.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2608.27849",
  "author_total": 1,
  "authors": [
    {
      "name": "Ian M. Down"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/7gghfvky1z1zf.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2608.27849",
  "fulltext_url": null,
  "id": "7gghfvky1z1zf",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2608.27849",
  "language": null,
  "licence": "LicenseRef-arXiv-nonexclusive-1.0",
  "licence_label": "arXiv licence",
  "licence_source": "article",
  "licence_url": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "math.DS"
    ],
    [
      "arxiv",
      "nlin.CD"
    ],
    [
      "openalex",
      "2202|Spacecraft Dynamics and Control"
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  ],
  "openalex": "W7204771901",
  "pdf_url": "https://arxiv.org/pdf/2608.27849",
  "pmcid": null,
  "pmid": null,
  "published": "2026-08-28",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/7gghfvky1z1zf.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:17:22Z",
      "native_id": "2608.27849",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2608.27849"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.DS",
      "subfield": "dynamical-systems"
    },
    {
      "field": "physics",
      "origin": "arxiv:nlin.CD",
      "subfield": "statistical-nonlinear"
    }
  ],
  "title": "Many-Revolution Low-Thrust Transfers within Periodic Orbit Families",
  "title_text": "Many-Revolution Low-Thrust Transfers within Periodic Orbit Families",
  "type": "preprint",
  "updated_at": "2026-10-30T12:17:28Z",
  "url": "https://research.draconitic.com/paper/7gghfvky1z1zf",
  "venue": "arXiv",
  "versions": []
}