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We consider only the resonant terms of first order in eccentricity in the disturbing potential of the satellites, plus the secular terms causing the orbital apsidal precessions. We obtain a two-degree of freedom system, associated with the two critical resonant angles $\\phi= (m+1)\\lambda' -m\\lambda - \\varpi$ and $\\phi'= (m+1)\\lambda' -m\\lambda - \\varpi'$, where $\\lambda$ and $\\varpi$ are the mean lo"},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1312.5961","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.EP","submitted_at":"2013-12-20T14:34:22Z","cross_cats_sorted":[],"title_canon_sha256":"e1f6bf7c25ced5556911b6ebcb8062360adb61692da3d05b5e17841c11ddc034","abstract_canon_sha256":"d90a76883061809c69a0f968358c1121cfe810937093411bde3e85b1d28cfedf"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:45:43.359032Z","signature_b64":"0BfhXCGe9IPgNrr+R4nC+0CNSoGlynlWstjwp3Bex8xt4XJhEtJ+KNpVYMynPemfhg5uW8hSWceX174Cenp5Cg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"29aae6ddb71c526f5ca8492ef568bf8688cb8449a53f68aecf53def354372dd4","last_reissued_at":"2026-05-18T01:45:43.358510Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:45:43.358510Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Coupling between corotation and Lindblad resonances in the elliptic planar three-body problem","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"astro-ph.EP","authors_text":"Bruno Sicardy, Maryame El Moutamid, St\\'efan Renner","submitted_at":"2013-12-20T14:34:22Z","abstract_excerpt":"We investigate the dynamics of two satellites with masses $\\mu_s$ and $\\mu'_s$ orbiting a massive central planet in a common plane, near a first order mean motion resonance $m$+1:$m$ ($m$ integer). 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