Relevance of the small frequency separation for asteroseismic stellar age, mass, and radius - A statistical investigation for main-sequence low-mass stars

G. Valle; M. Dell’Omodarme; P. G. Prada Moroni; S. Degl’Innocenti

doi:10.1051/0004-6361/201936353

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Volume 635 (March 2020)

A&A, 635 (2020) A77

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Table A.1.

Median (q₅₀) and 1σ envelope boundaries (q₁₆ and q₈₄) for age, mass, and radius relative errors as a function of the mass of the star.

Mass (M_⊙)
Quantile	0.7	0.75	0.8	0.85	0.9	0.95	1.0	1.05
Age

Without δν
q₁₆	−43.3	−39.9	−28.0	−22.3	−20.8	−20.3	−17.8	−9.3
q₅₀	−2.3	0.0	−0.1	−0.1	−0.1	0.0	0.0	2.0
q₈₄	21.2	43.3	29.7	21.0	20.4	23.5	23.5	22.5
With δν (5%)
q₁₆	−21.3	−17.4	−12.6	−11.6	−11.3	−11.4	−11.5	−7.0
q₅₀	0.0	0.0	0.0	0.0	0.0	0.0	0.0	0.7
q₈₄	16.2	22.2	12.6	11.3	11.9	13.9	14.7	14.7
With δν (2%)
q₁₆	−12.2	−9.4	−7.5	−7.7	−7.7	−7.4	−7.5	−5.2
q₅₀	0.0	0.0	0.0	0.0	0.0	0.0	0.0	0.2
q₈₄	9.3	10.1	6.3	6.8	7.6	8.6	9.5	9.1

Mass

Without δν
q₁₆	−1.4	−2.7	−2.5	−2.4	−2.9	−3.2	−3.1	−2.9
q₅₀	0.0	0.0	0.0	0.0	0.0	0.0	0.0	0.0
q₈₄	2.9	3.3	3.7	3.5	3.4	3.2	3.0	1.3
With δν (5%)
q₁₆	−1.4	−1.4	−1.3	−1.6	−2.2	−2.1	−2.1	−2.0
q₅₀	0.0	0.0	0.0	0.0	0.0	0.0	0.0	0.0
q₈₄	1.4	1.4	1.3	2.3	2.2	2.1	2.0	1.0
With δν (2%)
q₁₆	0.0	−1.3	−1.2	−1.2	−1.1	−1.8	−2.0	−1.9
q₅₀	0.0	0.0	0.0	0.0	0.0	0.0	0.0	0.0
q₈₄	1.4	1.3	1.3	1.2	1.7	2.1	2.0	1.0

Radius

Without δν
q₁₆	−0.6	−1.0	−1.0	−1.0	−1.1	−1.2	−1.2	−1.1
q₅₀	0.0	0.0	0.1	0.0	0.0	0.0	0.0	−0.1
q₈₄	1.1	1.1	1.2	1.2	1.3	1.2	1.1	0.5
With δν (5%)
q₁₆	−0.4	−0.6	−0.6	−0.7	−0.8	−0.9	−0.9	−0.8
q₅₀	0.0	0.0	0.0	0.0	0.0	0.0	0.0	−0.1
q₈₄	0.7	0.6	0.7	0.8	0.9	0.9	0.8	0.5
With δν (2%)
q₁₆	−0.3	−0.5	−0.5	−0.6	−0.7	−0.7	−0.8	−0.7
q₅₀	0.0	0.0	0.0	0.0	0.0	0.0	0.0	0.0
q₈₄	0.6	0.5	0.6	0.7	0.8	0.8	0.7	0.5

Notes. Values are expressed as a percent. Typical Monte Carlo relative uncertainty on q₁₆ and q₈₄ is about 5%, while the absolute uncertainty on q₅₀ is about 0.2%.

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