Multivariate statistical analysis of contact binaries with a low mass ratio: Definition, dynamical stability, and parameter relations

Open Access

Table 1.

Statistical summary of k₁², k₂², and J_spin/J_orb for contact binaries.

q_bin	k₁²	MAD	k₂²	MAD	J_spin/J_orb	MAD
0.02–0.06	0.0599	0.0002	0.1799	0.0010	0.5177	0.1203
0.06–0.09	0.0599	0.0003	0.1799	0.0013	0.3333	0.0413
0.09–0.12	0.0600	0.0003	0.1800	0.0008	0.2313	0.0191
0.12–0.15	0.0601	0.0002	0.1684	0.0283	0.1821	0.0176
0.15–0.18	0.0601	0.0003	0.1587	0.0361	0.1473	0.0253
0.18–0.21	0.0600	0.0003	0.1237	0.0418	0.1201	0.0101
0.21–0.24	0.0599	0.0004	0.1150	0.0392	0.1016	0.0062
0.24–0.27	0.0600	0.0002	0.1108	0.0279	0.0882	0.0059
0.27–0.30	0.0600	0.0003	0.1123	0.0339	0.0841	0.0177
0.30–0.33	0.0599	0.0002	0.1000	0.0314	0.0982	0.1156
0.33–0.36	0.0599	0.0003	0.0984	0.0300	0.0673	0.0064
0.36–0.39	0.0600	0.0003	0.0935	0.0150	0.0662	0.0248
0.39–0.42	0.0600	0.0003	0.0877	0.0187	0.0620	0.0138
0.42–0.45	0.0601	0.0004	0.0900	0.0175	0.0579	0.0092
0.45–0.48	0.0601	0.0002	0.0999	0.0332	0.0581	0.0102
0.48–0.51	0.0599	0.0002	0.1000	0.0369	0.0548	0.0056
0.51–0.54	0.0601	0.0002	0.0972	0.0103	0.0533	0.0037
0.54–0.57	0.0600	0.0004	0.0920	0.0168	0.0491	0.0062
0.57–0.60	0.0598	0.0004	0.0773	0.0213	0.0452	0.0049
0.60–0.63	0.0601	0.0003	0.0709	0.0189	0.0418	0.0046
0.63–0.66	0.0600	0.0003	0.0840	0.0217	0.0467	0.0073
0.66–0.69	0.0600	0.0003	0.0911	0.0387	0.0466	0.0156
0.69–0.72	0.0600	0.0005	0.0895	0.0180	0.0460	0.0036
0.72–0.75	0.0598	0.0003	0.0658	0.0148	0.0406	0.0046
0.75–0.78	0.0600	0.0003	0.0672	0.0160	0.0397	0.0059
0.78–0.81	0.0600	0.0003	0.0644	0.0129	0.0420	0.0130
0.81–0.84	0.0602	0.0004	0.0841	0.0391	0.0434	0.0118
0.84–0.87	0.0601	0.0002	0.0600	0.0005	0.0368	0.0030
0.87–0.90	0.0600	0.0002	0.0600	0.0003	0.0438	0.0162
0.90–0.93	0.0602	0.0001	0.0599	0.0008	0.0359	0.0017
0.93–0.96	0.0601	0.0003	0.0599	0.0002	0.0361	0.0013
0.96–1.00	0.0600	0.0002	0.0601	0.0001	0.0367	0.0010

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