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.2.

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

Relative age
Quantile	0.0	0.1	0.2	0.3	0.4	0.5	0.6	0.7	0.8	0.9	1.0
Age

Without δν
q₁₆	−59.8	−61.9	−51.8	−37.3	−29.1	−23.1	−19.7	−16.7	−14.6	−13.7	−13.3
q₅₀	18.9	4.8	0.0	0.0	0.0	0.1	0.0	0.4	0.2	0.0	−0.1
q₈₄	236.2	139.5	62.8	42.4	31.9	27.5	23.6	20.4	17.7	13.9	12.3
With δν (5%)
q₁₆	−50.7	−43.8	−27.3	−17.0	−11.8	−9.1	−7.8	−6.7	−6.9	−9.5	−10.5
q₅₀	4.2	1.7	0.0	0.0	0.0	0.0	0.0	0.0	0.0	0.0	0.0
q₈₄	130.4	72.6	30.4	19.3	13.6	10.5	9.0	8.7	9.3	10.8	11.1
With δν (2%)
q₁₆	−39.0	−26.7	−14.1	−8.8	−6.1	−4.4	−3.8	−3.6	−4.9	−7.0	−9.4
q₅₀	0.0	0.0	0.0	0.0	0.0	0.0	0.0	0.0	0.0	0.0	0.0
q₈₄	65.8	35.2	14.2	9.2	6.3	4.8	3.9	4.2	5.8	8.0	10.2

Mass

Without δν
q₁₆	−3.4	−3.3	−3.2	−3.1	−3.0	−3.2	−3.1	−3.2	−3.2	−2.8	−2.6
q₅₀	0.0	0.0	0.0	0.0	0.0	0.0	0.0	0.0	0.0	0.0	0.0
q₈₄	1.4	2.3	3.2	3.2	3.2	3.1	3.1	2.9	2.9	3.1	3.1
With δν (5%)
q₁₆	−2.1	−2.0	−1.6	−1.4	−1.3	−1.3	−1.3	−1.7	−2.1	−2.3	−2.4
q₅₀	0.0	0.0	0.0	0.0	0.0	0.0	0.0	0.0	0.0	0.0	0.0
q₈₄	1.2	1.3	1.6	1.4	1.3	1.3	1.3	1.2	1.9	2.3	2.7
With δν (2%)
q₁₆	−1.2	−1.2	−1.1	−1.1	−1.1	−1.1	−1.1	−1.1	−1.6	−2.1	−2.2
q₅₀	0.0	0.0	0.0	0.0	0.0	0.0	0.0	0.0	0.0	0.0	0.0
q₈₄	1.1	1.1	1.1	1.1	1.1	1.1	1.1	1.1	1.2	2.1	2.4

Radius

Without δν
q₁₆	−1.2	−1.2	−1.2	−1.1	−1.1	−1.2	−1.2	−1.2	−1.2	−1.0	−1.0
q₅₀	−0.2	−0.1	0.0	0.0	0.0	0.0	0.0	0.0	0.0	0.0	0.0
q₈₄	0.6	0.8	1.1	1.2	1.1	1.1	1.1	1.0	1.1	1.1	1.2
With δν (5%)
q₁₆	−0.8	−0.8	−0.7	−0.7	−0.6	−0.6	−0.7	−0.7	−0.8	−0.9	−0.9
q₅₀	−0.1	0.0	0.0	0.0	0.0	0.0	0.0	0.0	0.0	0.0	0.0
q₈₄	0.5	0.6	0.7	0.6	0.6	0.6	0.6	0.6	0.7	0.9	1.0
With δν (2%)
q₁₆	−0.6	−0.6	−0.6	−0.5	−0.5	−0.5	−0.6	−0.6	−0.7	−0.8	−0.9
q₅₀	0.0	0.0	0.0	0.0	0.0	0.0	0.0	0.0	0.0	0.0	0.0
q₈₄	0.5	0.5	0.5	0.5	0.5	0.5	0.6	0.6	0.7	0.9	1.0

Notes. Values are expressed as a percent.

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