{"id":"W4362655401","doi":"10.48550/arxiv.2304.01257","title":"The Hamiltonian for von Zeipel-Lidov-Kozai oscillations","year":2023,"lang":"en","type":"preprint","venue":"arXiv (Cornell University)","topic":"Spectroscopy and Quantum Chemical Studies","field":"Physics and Astronomy","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Hamiltonian (control theory); Physics; Hamiltonian system; Angular momentum; Phase space; Quadrupole; Nonlinear system; Classical mechanics; Quantum mechanics; Mathematics","routes":{"ca_aff":false,"ca_fund":true,"ca_venue":false,"about_ca":false,"invisible_to_affiliation_only":true},"retraction":null,"screen":null,"direct_labels":[],"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0003678085,0.0002701908,0.0003569126,0.0005276393,0.0006135105,0.000698679,0.00074596,0.0007128794,0.00379362],"category_scores_gemma":[0.0005246358,0.0001532271,0.0003564998,0.0004031811,0.001550572,0.001074471,0.001086195,0.0008474216,0.0005703878],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.000656871,"about_ca_system_score_gemma":0.0006685287,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001649823,"about_ca_topic_score_gemma":0.001069394,"domain_scores_codex":[0.9998361,0.00003786071,0.000008923193,0.00002408947,0.00005909516,0.00003392579],"domain_scores_gemma":[0.9998471,0.00003923508,0.00002536398,0.00002405617,0.00002583018,0.00003832244],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.00001369288,0.000006608572,0.0002041385,0.00003269398,0.000005967574,0.00008799008,0.0001100939,0.009859287,0.002842824,0.9813254,0.001478282,0.004033139],"study_design_scores_gemma":[0.00003014605,0.00005198908,0.001142578,0.00002868846,0.000007908498,0.0002330067,0.0001685956,0.1973582,0.001464334,0.7902066,0.009251852,0.00005612837],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.2665996,0.002019378,0.5972057,0.002813058,0.0007289295,0.0001541669,0.0008411574,0.0004428152,0.1291952],"genre_scores_gemma":[0.947642,0.0006645013,0.0297639,0.0005088891,0.0001611303,0.0001480839,0.0001806687,0.0001057956,0.02082499],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.00379362,"threshold_uncertainty_score":0.01269096,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.09466205228546845,"score_gpt":0.2223350197818733,"score_spread":0.1276729674964048,"validation_status":"score_only:v0-immature-baseline","note":"Baseline scores from an immature model (maturity gate not passed). Scores rank; they never assert a category."}}