{"id":"W2139528613","doi":"10.1007/s10569-009-9219-0","title":"Central configurations of the five-body problem with equal masses","year":2009,"lang":"en","type":"article","venue":"Celestial Mechanics and Dynamical Astronomy","topic":"Spacecraft Dynamics and Control","field":"Engineering","cited_by":37,"is_retracted":false,"has_abstract":false,"ca_institutions":"Wilfrid Laurier University","funders":"","keywords":"Homotopy; Exact solutions in general relativity; n-body problem; Homotopy lifting property; Three-body problem","routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false,"invisible_to_affiliation_only":false},"retraction":null,"screen":null,"direct_labels":[],"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00003124919,0.0001375368,0.0001597841,0.00001868844,0.00005785873,0.00003292222,0.000117254,0.00005499528,0.00001133528],"category_scores_gemma":[0.000003695232,0.00009613833,0.00004545087,0.00007949466,0.00002232824,0.00005301279,0.00001728356,0.000142046,5.761358e-7],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00002702923,"about_ca_system_score_gemma":0.00004612537,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00001124935,"about_ca_topic_score_gemma":0.00004014439,"domain_scores_codex":[0.99935,0.00001192029,0.0001613234,0.0001305394,0.0001009038,0.0002452801],"domain_scores_gemma":[0.9996852,0.00002200403,0.00003705692,0.0001367618,0.00003146694,0.00008755125],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"simulation_or_modeling","study_design_scores_codex":[0.00009265517,0.0001728902,0.00205483,0.00005668632,0.0001667192,0.000005366153,0.0001595086,0.08806786,0.03681186,0.8265292,0.00004997829,0.04583242],"study_design_scores_gemma":[0.00058805,0.0002021991,0.006479688,0.00003364212,0.0000518781,0.000005574336,0.00004124576,0.9879287,0.0002930417,0.003861028,0.0003544735,0.0001604918],"study_design_candidate":"simulation_or_modeling","study_design_consensus":null,"genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.1300203,0.00005060608,0.8688186,0.0002621609,0.0000906584,0.0002595487,0.00002697681,0.00004757315,0.0004235169],"genre_scores_gemma":[0.9953197,0.00000470332,0.004552914,0.00001895532,0.00004406768,0.0000118887,0.00001057498,0.00001185364,0.00002530973],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.8998609,"threshold_uncertainty_score":0.3920408,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.002275152269308595,"score_gpt":0.1627184287166644,"score_spread":0.1604432764473558,"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."}}