Table 3
Basic properties and results of the analysis of different photometric observations (top), and activity indices of HARPS-N (middle) and CARMENES observations (bottom).
| Basic properties | Periodogram analysis | GP with celerite | GP with george | ||||||||||
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Index | rms | Error | Unit | Prot (d) | Padd (d) | Phase (deg) | PSHO (d) | Plife (d) | Δ ln L | PQP (d) | λ (d) | w | Δ ln L |
| EXORAP ΔB | 17.1 | 1.3 | mmag | 18.87 | 221.6 | 50.2 | 17.07 | 43.1 | 62.9 | 18.86 | 73.7 | 1.1 | 102.7 |
| EXORAP ΔV | 14.6 | 1.5 | mmag | 18.91 | 259.1 | 41.4 | 18.24 | 39.0 | 21.3 | 19.16 | 133.7 | 3.2 | 307.0 |
| EXORAP ΔR | 13.4 | 1.4 | mmag | 18.85 | 240.3 | 78.0 | 18.54 | 53.2 | 37.3 | 18.81 | 66.1 | 1.3 | 56.0 |
| EXORAP ΔI | 14.3 | 1.0 | mmag | 18.94 | 623.3 | 61.7 | 20.50 | 31.6 | 47.6 | 18.98 | 48.8 | 1.2 | 90.1 |
| SNO ΔV | 10.3 | 13.0 | mmag | 18.86 | 173.8 | 343.2 | 19.03 | 302.4 | 215.1 | 19.25 | 429.5 | 2.3 | 213.3 |
| SNO ΔR | 10.3 | 16.8 | mmag | 19.04 | 133.3 | 336.1 | 19.21 | 278.6 | 199.1 | 19.09 | 239.5 | 2.3 | 197.3 |
| ASAS ΔV | 25.3 | 27.4 | mmag | * | ... | 77.0 | ... | ... | ... | ... | ... | ... | ... |
| MEarth ΔV | 7.8 | 7.3 | mmag | 20.02 | ... | 51.7 | ... | ... | ... | ... | ... | ... | ... |
| CaHK | 0.350 | 0.014 | ... | ... | 419.3 | 79.3 | 19.98 | 60.5 | 20.0 | 19.75 | 157.2 | 2.6 | 39.0 |
| Hα | 0.0284 | 0.0021 | ... | ... | 409.0 | 77.2 | 21.93 | 35.6 | 46.2 | 18.72 | 263.8 | 0.7 | 57.4 |
| NaI | 0.0052 | 0.0034 | ... | * | 416.6 | 80.7 | ... | ... | ... | ... | ... | ... | ... |
| FWHM | 0.040 | 0.013 | km s−1 | ... | >3060 | 117.5 | ... | ... | ... | ... | ... | ... | ... |
| CON | 0.453 | 0.081 | % | * | 425.5 | 229.6 | ... | ... | ... | ... | ... | ... | ... |
| BIS | 2.04 | 0.69 | m s−1 | 19.1 | ... | 356.0 | ... | ... | ... | 18.62 | 110.5 | 6.1 | 13.5 |
| CRX | 10.5 | 7.9 | m s−1 N |
* | >3062 | 227.1 | ... | ... | ... | 18.91 | 762.3 | 1.3 | 12.2 |
| CaIRT | 0.0417 | 0.0025 | ... | 18.8 | 538.6 | 79.8 | 18.99 | 83.2 | 16.8 | 18.98 | 166.0 | 2.3 | 25.8 |
| Hα | 0.0300 | 0.0015 | ... | 18.8 | 569.1 | 76.7 | 18.63 | 234.9 | 15.4 | 18.90 | 225.2 | 2.7 | 27.2 |
| NaI | 0.0390 | 0.0040 | ... | * | 437.1 | 66.0 | ... | ... | ... | 18.17 | 111.1 | 3.4 | 12.7 |
| FWHM | 0.019 | 0.021 | km s−1 | 7.6 | >920 | 50.6 | ... | ... | ... | ... | ... | ... | ... |
| CON | 0.124 | 0.060 | % | * | 428.9 | 18.5 | ... | ... | ... | 19.10 | 140.8 | 1.0 | 13.6 |
| BIS | 6.33 | 0.94 | m s−1 | 18.3 | ... | 121.7 | 18.59 | 60.5 | 11.1 | 18.91 | 55.5 | 1.8 | 14.3 |
| CRX | 20.8 | 14.5 | m s−1 N |
* | 90.3 | 243.9 | ... | ... | ... | ... | ... | ... | ... |
Notes. We show the tentative and significant signals of the periodogram analysis, and the parameters of the best solution of an MCMC approach using Gaussian Processes (GP) with the simple harmonic oscillator (SHO) as kernel and the celerite code, and with the quasi-periodic harmonic oscillator (QP) as kernel of the george package (see Sect. 3.7 for the definition of the hyper-parameters). The Δ ln L value refers to the difference in ln L compared to a null model. (*)The peak in the periodogram connected to the rotational period of Gl 49 stands out from the noise, but does not reach the 1% FAP level.
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