{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:3LFLQIY5NQRDWOSYZ46TSPCSCX","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"801a26d2ca30827528a3432636ea03a733bb48bd92b3cb928b878cb0cc5da8b5","cross_cats_sorted":["math.DS"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2015-11-06T14:24:01Z","title_canon_sha256":"897c59572a7fd91793abb37b7607e3c48a695f382c3385144d4f09030db19fc3"},"schema_version":"1.0","source":{"id":"1511.02089","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1511.02089","created_at":"2026-05-18T01:11:38Z"},{"alias_kind":"arxiv_version","alias_value":"1511.02089v2","created_at":"2026-05-18T01:11:38Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1511.02089","created_at":"2026-05-18T01:11:38Z"},{"alias_kind":"pith_short_12","alias_value":"3LFLQIY5NQRD","created_at":"2026-05-18T12:29:02Z"},{"alias_kind":"pith_short_16","alias_value":"3LFLQIY5NQRDWOSY","created_at":"2026-05-18T12:29:02Z"},{"alias_kind":"pith_short_8","alias_value":"3LFLQIY5","created_at":"2026-05-18T12:29:02Z"}],"graph_snapshots":[{"event_id":"sha256:371d2f5f1ea1275872677b68262d020920b3029ba8f6a41ee0f074d48e0b641b","target":"graph","created_at":"2026-05-18T01:11:38Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"paper":{"abstract_excerpt":"In this work, we develop a new method to design energy minimum low-thrust missions (L2-minimization). In the Circular Restricted Three Body Problem, the knowledge of invariant manifolds helps us initialize an indirect method solving a transfer mission between periodic Lyapunov orbits. Indeed, using the PMP, the optimal control problem is solved using Newton-like algorithms finding the zero of a shooting function. To compute a Lyapunov to Lyapunov mission, we first compute an admissible trajectory using a heteroclinic orbit between the two periodic orbits. It is then used to initialize a multip","authors_text":"Emmanuel Tr\\'elat (LJLL), Maxime Chupin (LJLL), Thomas Haberkorn (MAPMO)","cross_cats":["math.DS"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2015-11-06T14:24:01Z","title":"Low-Thrust Lyapunov to Lyapunov and Halo to Halo with $L^2$-Minimization"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1511.02089","kind":"arxiv","version":2},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:e89084edba618397c592a424a42aeca7f45b4681ad4e701767307675343acb53","target":"record","created_at":"2026-05-18T01:11:38Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"801a26d2ca30827528a3432636ea03a733bb48bd92b3cb928b878cb0cc5da8b5","cross_cats_sorted":["math.DS"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2015-11-06T14:24:01Z","title_canon_sha256":"897c59572a7fd91793abb37b7607e3c48a695f382c3385144d4f09030db19fc3"},"schema_version":"1.0","source":{"id":"1511.02089","kind":"arxiv","version":2}},"canonical_sha256":"dacab8231d6c223b3a58cf3d393c5215d871129e8d13b14318dd8ca6e7ec9aed","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"dacab8231d6c223b3a58cf3d393c5215d871129e8d13b14318dd8ca6e7ec9aed","first_computed_at":"2026-05-18T01:11:38.633769Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:11:38.633769Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Uf5IzqyT/VehCIJ0lh4rNdm3vRPONhm+WT++zmQjzjV1x8ZC4+khOstNuLVZGKD0Me9iREh9pZ8vVa5fIqdCBA==","signature_status":"signed_v1","signed_at":"2026-05-18T01:11:38.634259Z","signed_message":"canonical_sha256_bytes"},"source_id":"1511.02089","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:e89084edba618397c592a424a42aeca7f45b4681ad4e701767307675343acb53","sha256:371d2f5f1ea1275872677b68262d020920b3029ba8f6a41ee0f074d48e0b641b"],"state_sha256":"6dc9109fd83df45fd44f940d2d8918a346c049f7588c2379632b0a8b24e0af56"}