Detecting deep axisymmetric toroidal magnetic fields in stars - The traditional approximation of rotation for differentially rotating deep spherical shells with a general azimuthal magnetic field

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Volume 661 (May 2022)

A&A, 661 (2022) A133

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Table B.1.

Detectability of the signature of toroidal magnetic fields in the modelled 1.6 M_⊙γ Dor star model during MS evolution for three modes at different rotation rates, Ω, and magnetic field amplitude, B₀. We also list the ranges of radial orders, n, and spin parameters, ν.

mode		Evolution phase	Ω		B₀	n		ν		Δf_max	n_{detect, min}	Δf_max/f_res	n_{detect, min}	Δf_max/f_res	n_{detect, min}	Δf_max/f_res
k	m		[Ω_⊙]	[c/d]	G	(min)	(max)	(min)	(max)	[c/d]	(TESS)		(PLATO)		(Kepler)
0	1	near	22.19	0.79	6 × 10⁴	20	80	1.54	6.7	0.0015	...	0.57	73	1.11	37	2.23
		ZAMS			2 × 10⁵	20	80	1.54	6.2	0.02	20	7.54	20	15.1	20	30.19
					6 × 10⁵	20	37	1.48	2.49	0.11	20	39.2	20	78.43	20	156.87

			15.56	0.56	6 × 10⁴	20	80	1.04	4.62	0.0015	...	0.55	73	1.1	35	2.21
					2 × 10⁵	20	80	1.04	4.29	0.02	20	7.39	20	14.78	20	29.57
					6 × 10⁵	20	37	0.99	1.69	0.11	20	41.35	20	82.72	20	165.44

		mid-MS	15.56	0.56	6 × 10⁴	20	80	0.97	4.32	0.0009	...	0.34	...	0.67	60	1.34
					2 × 10⁵	20	80	0.96	4.16	0.01	20	3.87	20	7.74	20	15.48
					6 × 10⁵	20	76	0.94	2.89	0.11	20	41.72	20	83.44	20	166.88

0	2	near	22.19	0.79	6 × 10⁴	20	80	0.8	3.35	0.003	73	1.12	37	2.23	20	4.46
		ZAMS			2 × 10⁵	20	80	0.79	3.1	0.04	20	15.12	20	30.23	20	60.47
					6 × 10⁵	20	37	0.76	1.25	0.21	20	79.6	20	159.2	20	318.41

			15.56	0.56	6 × 10⁴	20	80	0.55	2.32	0.003	73	1.1	36	2.21	20	4.43
					2 × 10⁵	20	80	0.54	2.15	0.04	20	14.84	20	29.67	20	59.35
					6 × 10⁵	20	36	0.52	0.85	0.21	20	76.36	20	152.73	20	305.45

		mid-MS	15.56	0.56	6 × 10⁴	20	80	0.51	2.17	0.0018	...	0.67	60	1.35	29	2.69
					2 × 10⁵	20	80	0.51	2.09	0.02	20	7.77	20	15.54	20	31.08
					6 × 10⁵	20	78	0.5	1.46	0.24	20	86.81	20	173.62	20	347.24

-2	-1	near	22.19	0.79	6 × 10⁴	20	80	7.51	19.75	0.006	20	2.15	20	4.29	20	8.58

		ZAMS	15.56	0.56	6 × 10⁴	20	80	6.66	14.03	0.006	20	2.23	20	4.47	20	8.93

		mid-MS	15.56	0.56	6 × 10⁴	20	80	6.61	13.71	0.003	20	1.25	20	2.51	20	5.02
					2 × 10⁵	22	45	6.06	7.51	0.027	22	9.99	22	19.98	20	39.96

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