{
  "abstract": "Autonomous trajectory redirection and kinetic deflection of hazardous orbital bodies and near-Earth asteroids demands real-time terminal guidance capable of operating within non-linear, perturbed multi-body gravitational fields without high-latency ground loops. We formulate a geometric guidance framework embedding the relative phase space into a discrete symplectic transition manifold and computing the discrete Laplace-Beltrami Green's function via the Moore-Penrose pseudoinverse L†. Monotonic descent toward terminal capture without local saddle trapping is established via the discrete Maximum Principle, with continuous terminal proportional closing governed by a dimensionally homogeneous quadratic Lyapunov function. Validated against the April 13, 2029 Earth close encounter of (99942) Apophis under full J2 and lunar tidal perturbations, the guidance law navigates a continuous Pareto frontier from a fuel-optimal cruise (Δv = 28.4 m/s) to an emergency sprint mode (18.5 min closure). We further formulate the dual-use extension to extra-atmospheric orbital asset defense, demonstrating autonomous, trap-free Collision Avoidance Maneuvers (CAM) and Active Debris Removal (ADR) for space stations and orbital infrastructure in vacuum.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": null,
  "author_total": 1,
  "authors": [
    {
      "name": "Andres Pirolo",
      "orcid": "0009-0004-3899-1222"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/asb6tw3p7jh87.bib",
  "cited_by": 0,
  "doi": "10.5281/zenodo.23461118",
  "fulltext_url": null,
  "id": "asb6tw3p7jh87",
  "issns": [],
  "landing_url": "https://zenodo.org/records/23461118",
  "language": "eng",
  "licence": "CC-BY-NC-ND-4.0",
  "licence_label": "CC BY-NC-ND 4.0",
  "licence_source": "article",
  "licence_url": "https://creativecommons.org/licenses/by-nc-nd/4.0/",
  "metadata_licence": null,
  "native_subjects": [],
  "openalex": null,
  "pdf_url": "https://zenodo.org/api/records/23461118/files/Pirolo_Planetary_Defense_Interception_2026%20(3).pdf/content",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-19",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/asb6tw3p7jh87.ris",
  "sources": [
    {
      "first_seen": "2026-11-02T12:20:48Z",
      "native_id": "23461118",
      "source": "zenodo",
      "url": "https://zenodo.org/records/23461118"
    }
  ],
  "subjects": [],
  "title": "Autonomous Trajectory Redirection on Non-Linear Multi-Body Manifolds: A Moore-Penrose Gravitational Resolvent Approach to Orbital Keyhole Avoidance",
  "title_text": "Autonomous Trajectory Redirection on Non-Linear Multi-Body Manifolds: A Moore-Penrose Gravitational Resolvent Approach to Orbital Keyhole Avoidance",
  "type": "preprint",
  "updated_at": "2026-11-02T12:20:48Z",
  "url": "https://research.draconitic.com/paper/asb6tw3p7jh87",
  "venue": "Zenodo",
  "versions": []
}