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We show that the periodic gravitational pulling of the EM system induces a resonance with fundamental frequency 1 yr^-1 and a series of periodic perturbations with frequencies equal to integer harmonics of the synodic month (9.92 10^-7 Hz). We then evaluate the effects of these perturbations (up to the 6th harmonics) on the relative motions between each test masses couple, finding that they range between 3mm and 10pm for the 2nd and 6th harmonic, respectively. If we take the LISA sensitivity curv"},"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":"1003.5528","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/licenses/by/3.0/","primary_cat":"gr-qc","submitted_at":"2010-03-29T12:59:26Z","cross_cats_sorted":[],"title_canon_sha256":"7b3795ba66b3485b09a16011462ed0969328ca1b94a1fd41c72579fdf0c33e28","abstract_canon_sha256":"d0f5224f6702cec0186815f8be02f28f99b82cdf3ac778d57f6b75cae9f1057c"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:33:40.212199Z","signature_b64":"/u51KH8B0+LoFA+oLP3PWrJGdlMiUdzq94DTVG9mw/xFUFiLsl41iGDpyOZmhHXBM+KPoQS/PSWmtHCxNWDnDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"730feba333ff663e930a154acc3b705dacf4e568997bd662a72a769a1c1010b7","last_reissued_at":"2026-05-18T02:33:40.211780Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:33:40.211780Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Modulation of LISA free-fall orbits due to the Earth-Moon system","license":"http://creativecommons.org/licenses/by/3.0/","headline":"","cross_cats":[],"primary_cat":"gr-qc","authors_text":"A. 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