{"id":"W2218528849","doi":"10.1063/1.4952643","title":"Some new aspects of first integrals and symmetries for central force dynamics","year":2016,"lang":"en","type":"article","venue":"Journal of Mathematical Physics","topic":"Control and Stability of Dynamical Systems","field":"Engineering","cited_by":6,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Toronto; McMaster University; Brock University","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Homogeneous space; Classical mechanics; Dynamics (music); Central force; Physics; Mathematical physics; Theoretical physics; Mathematics; Statistical physics; Geometry","routes":{"ca_aff":true,"ca_fund":true,"ca_venue":false,"about_ca":false,"invisible_to_affiliation_only":false},"retraction":null,"screen":null,"direct_labels":[],"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001371849,0.0006165924,0.0006400876,0.001345279,0.0009993135,0.001809495,0.001055456,0.0009403098,0.003769269],"category_scores_gemma":[0.002775462,0.0003379848,0.001276717,0.0008307469,0.002927985,0.003688706,0.001460468,0.002151764,0.0006514591],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001055541,"about_ca_system_score_gemma":0.0007770313,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0009396413,"about_ca_topic_score_gemma":0.0007040626,"domain_scores_codex":[0.9994979,0.00010898,0.00003421615,0.00007396351,0.0002306857,0.00005424865],"domain_scores_gemma":[0.9993506,0.0002716065,0.0001066854,0.0001243927,0.00008981909,0.00005682941],"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":[0.000002298337,0.000006500957,0.00007007748,0.00001645971,0.000002140456,0.00004429293,0.00008417265,0.001598957,0.0003291042,0.9943175,0.0003490044,0.003179487],"study_design_scores_gemma":[0.000003591834,0.00001103385,0.00009978882,0.000009789639,0.000001727471,0.00009953875,0.00002714261,0.02139633,0.0001865781,0.9752623,0.002894471,0.00000768844],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.1046514,0.003921276,0.7578626,0.001972678,0.0006012394,0.00008620635,0.0002465216,0.0002845228,0.1303736],"genre_scores_gemma":[0.7588027,0.003322057,0.2085191,0.0006374351,0.001343996,0.0002020114,0.000334717,0.0003118151,0.02652622],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.003769269,"threshold_uncertainty_score":0.01260948,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.00973079012564294,"score_gpt":0.2102752713372335,"score_spread":0.2005444812115906,"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."}}