{"id":"W2903030543","doi":"10.5539/apr.v10n6p90","title":"Kepler´s Ellipse Observed from Newton´s Evolute (1687), Horrebow´s Circle (1717), Hamilton´s Pedal Curve (1847), and Two Contrapedal Curves (28.10.2018)","year":2018,"lang":"en","type":"article","venue":"Applied Physics Research","topic":"Historical Astronomy and Related Studies","field":"Physics and Astronomy","cited_by":6,"is_retracted":false,"has_abstract":true,"ca_institutions":"","funders":"","keywords":"Ellipse; Hodograph; Kepler; Eccentricity (behavior); Physics; Curvature; Tangent; Planet; Realm; Geometry; Elliptic orbit; Classical mechanics; Mathematical analysis; Mathematics; Astronomy; Law; Mechanics","routes":{"ca_aff":false,"ca_fund":false,"ca_venue":true,"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":[0.0002605777,0.0002585506,0.0001420366,0.0008979466,0.001777439,0.001309533,0.0002086667,0.000945751,0.00984642],"category_scores_gemma":[0.001579599,0.0001880567,0.000186259,0.0007850059,0.001905397,0.001375903,0.001109136,0.00155976,0.001977161],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00104683,"about_ca_system_score_gemma":0.0003816321,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.01091126,"about_ca_topic_score_gemma":0.0116205,"domain_scores_codex":[0.9997286,0.00004309401,0.000006151502,0.00009339392,0.00008041368,0.00004828464],"domain_scores_gemma":[0.9994953,0.00006023661,0.00006465015,0.0001050293,0.0001807542,0.00009405392],"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":[0.001523163,0.00007506712,0.04285875,0.0004470969,0.00008102213,0.004190169,0.06251649,0.001473405,0.01814208,0.38339,0.2467147,0.238588],"study_design_scores_gemma":[0.00002452676,0.00009580661,0.07040002,0.0001406057,0.00001603271,0.001547136,0.005375597,0.0003990912,0.002366854,0.01513284,0.9044392,0.00006235956],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"other","genre_gemma":"empirical","genre_scores_codex":[0.3512571,0.006055996,0.014113,0.006250469,0.0028587,0.00007217411,0.002827619,0.0008269244,0.6157381],"genre_scores_gemma":[0.9494371,0.0008594,0.003406411,0.0004054217,0.0003868565,0.00002163661,0.001081407,0.0002190146,0.04418291],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.01091126,"threshold_uncertainty_score":0.03293955,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.07264170780230832,"score_gpt":0.3251472955096244,"score_spread":0.2525055877073161,"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."}}