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Table 5.

Average offsets (μ) and maximum errors (m) for different grid resolutions.

Method for interpolation along
Resolution Errors Cubic polynomial Cubic splines

1/1 μ (μHz) 7.0 × 10−4 3.4 × 10−4
m (μHz) 4.1 × 10−2 3.3 × 10−2

1/2 μ (μHz) 3.3 × 10−3 1.0 × 10−3
m (μHz) 1.1 × 10−1 8.3 × 10−2

1/3 μ (μHz) 1.3 × 10−2 5.4 × 10−3
m (μHz) 3.4 × 10−1 2.1 × 10−1

1/4 μ (μHz) 3.5 × 10−2 1.6 × 10−2
m (μHz) 8.3 × 10−1 5.6 × 10−1

1/5 μ (μHz) 7.3 × 10−2 3.1 × 10−2
m (μHz) 1.7 × 100 1.1 × 100

1/6 μ (μHz) 1.4 × 10−1 1.3 × 10−1
m (μHz) 2.8 × 100 3.4 × 100

Notes. Results from interpolation along the evolutionary track with M = 1.245 M, which considers a cubic polynomial or a cubic splines method, and ρc as the age proxy, applied to  = 1 mode frequencies and for the indicated grid resolutions, 1/k.

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