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Table 1.
Definition of six classes of RV variability.
| Class | w12 and wt values | Properties observed in the time series | Certainty of variability |
|---|---|---|---|
| 5a | w12 ≥ 2 and wt ≥ 5 | The error bars of RV1 and RV2 clearly do not intersect with each other, | High |
| and the error bar of RV3 clearly does not intersect the error bars of | |||
| RV1 or RV2. | |||
| 5b | w12 < 2 and wt ≥ 11 | The error bars of RV1 and RV2 intersect with each other, but the error | High |
| bar of RV3 clearly does not intersect the error bars of RV1 and RV2, and | |||
| they only could intersect if the error bar of RV3 was ≳2σ3 | |||
| 4 | (w12 ≥ 2 and wt < 5) or | The error bars of RVi and RVj clearly do not intersect with each other | Medium |
| (w12 < 2 and 3.3 ≤ wt < 11) | but the error bars of pairs RVi-RVk and RVj-RVk intersect with each other; | ||
| considering i, j, k = 1, 2, 3 with i ≠ j ≠ k. | |||
| 3 | 1 ≤ w12 < 2 and wt < 3.3 | The error bars of all RVi-RVj pairs intersect with each other (for i, j = 1, | Medium-low |
| 2, 3 and i ≠ j), but the pair RV1-RV2 only can fulfill RVl + σl < RVk or | |||
| RVl − σl > RVk (for σl > σk; k, l = 1, 2) | |||
| 2 | w12 < 1 ; wt − w12 ≥ 1.5 | The error bars of all RVi-RVj pairs intersect with each other (for i, j = 1, | Low |
| and wt < 3.3 | 2, 3 and i ≠ j), the pair RV1-RV2 fulfill RVl − σl ≲ RVk ≲ RVl + σl (for σl | ||
| > σk), also max{RV2 + σ2, RV1 + σ1}> RV3 + σ3 or min{RV2 − σ2, RV1 | |||
| −σ1}< RV3 − σ3. | |||
| 1 | w12 < 1 and wt − w12 < 1.5 | The error bars of all RVi-RVj pairs intersect with each other (for i, j = 1, | No variability |
| 2, 3 and i ≠ j), the pair RV1-RV2 fulfill RVl − σl ≲ RVk ≲ RVl + σl (for σl | |||
| > σk), also max{RV2 + σ2, RV1 + σ1}< RV3 + σ3 and min{RV2 − σ2, RV1 | |||
| −σ1}> RV3 − σ3. | |||
Notes. The classes were obtained by taking different ranges in the w12-wt space parameter. The third column describes the features in the RV measurements RV and errors σ for each class from what was observed in the time series of a sample of heterogeneous red giants.
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