{"paper":{"title":"Families of Two-Impulse Optimal Rendezvous Transfers Between Elliptic Orbits","license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","headline":"Optimal two-impulse rendezvous solutions between elliptic orbits connect into continuous families when the problem is re-parameterized.","cross_cats":[],"primary_cat":"math.OC","authors_text":"Beom Park, Jaemyung Ahn, Jaewoo Kim, Kathleen C. Howell","submitted_at":"2026-03-12T04:56:30Z","abstract_excerpt":"The classical fuel-optimal two-impulse rendezvous problem between Keplerian orbits is revisited from a family-based perspective. Conventional approaches often yield isolated optimal solutions whose mutual relationships remain unclear; yet, when re-parameterized appropriately, seemingly unrelated optima are revealed to be connected members of continuous solution families. To expose this structure, the proposed framework enforces a subset of first-order necessary optimality conditions and traces the resulting one-parameter families via numerical continuation. The families are classified using He"},"claims":{"count":4,"items":[{"kind":"strongest_claim","text":"when re-parameterized appropriately, seemingly unrelated optima are revealed to be connected members of continuous solution families","source":"verdict.strongest_claim","status":"machine_extracted","claim_id":"C1","attestation":"unclaimed"},{"kind":"weakest_assumption","text":"that enforcing a subset of first-order necessary optimality conditions permits reliable numerical continuation of one-parameter families without missing branches or encountering singularities under orbital geometry variations","source":"verdict.weakest_assumption","status":"machine_extracted","claim_id":"C2","attestation":"unclaimed"},{"kind":"one_line_summary","text":"Optimal two-impulse rendezvous transfers between elliptic orbits form continuous families that can be traced and classified via numerical continuation on first-order optimality conditions.","source":"verdict.one_line_summary","status":"machine_extracted","claim_id":"C3","attestation":"unclaimed"},{"kind":"headline","text":"Optimal two-impulse rendezvous solutions between elliptic orbits connect into continuous families when the problem is re-parameterized.","source":"verdict.pith_extraction.headline","status":"machine_extracted","claim_id":"C4","attestation":"unclaimed"}],"snapshot_sha256":"f30c4eefc9bf555fffacdb05bf80b0679a6ae3f4dded37a09cc2060541488335"},"source":{"id":"2603.11538","kind":"arxiv","version":3},"verdict":{"id":"7e1a5293-c3c0-4f76-a43b-9da156f3d7dc","model_set":{"reader":"grok-4.3"},"created_at":"2026-05-15T12:22:06.396425Z","strongest_claim":"when re-parameterized appropriately, seemingly unrelated optima are revealed to be connected members of continuous solution families","one_line_summary":"Optimal two-impulse rendezvous transfers between elliptic orbits form continuous families that can be traced and classified via numerical continuation on first-order optimality conditions.","pipeline_version":"pith-pipeline@v0.9.0","weakest_assumption":"that enforcing a subset of first-order necessary optimality conditions permits reliable numerical continuation of one-parameter families without missing branches or encountering singularities under orbital geometry variations","pith_extraction_headline":"Optimal two-impulse rendezvous solutions between elliptic orbits connect into continuous families when the problem is re-parameterized."},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2603.11538/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"}