Summary of the best-fitting parameters of the QP GPR fits applied to c1 and Bℓ for the six M dwarfs in our sample and the comparison with the corresponding GPR results for Bℓ by D23 marked as D23 in the second column.
Star . | Data . | Rotation period . | Decay time . | Smoothing factor . | Amplitude . | White noise . | Rms . | |$\chi ^2_{\rm r}$| . |
---|---|---|---|---|---|---|---|---|
. | . | Prot (d) . | l (d) . | β . | α (G) . | σ (G) . | (G) . | . |
Gl 905 | c1 | |$111.7^{+3.0}_{-3.2}$| | |$133^{+18}_{-22}$| | |$0.50^{+0.09}_{-0.07}$| | |$12.9^{+3.1}_{-2.1}$| | |$0.6^{+0.5}_{-0.4}$| | 3.8 | 0.79 |
Gl 905 | Bℓ | |$114.4^{+3.5}_{-2.4}$| | |$130^{+25}_{-32}$| | |$0.44^{+0.12}_{-0.09}$| | |$14.1^{+3.5}_{-2.4}$| | |$1.2^{+1.1}_{-0.8}$| | 6.9 | 0.87 |
Gl 905 | D23 | 114.3 ± 2.8 | |$129^{+25}_{-21}$| | 0.43 ± 0.09 | |$13.3^{+2.5}_{-2.1}$| | |$1.7^{+1.2}_{-0.7}$| | 6.2 | 0.84 |
GJ 1289 | c1 | |$75.62^{+0.85}_{-0.79}$| | |$129^{+26}_{-24}$| | 0.40 ± 0.05 | |$41.9^{+7.9}_{-6.0}$| | |$1.2^{+1.1}_{-0.8}$| | 6.9 | 0.72 |
GJ 1289 | Bℓ | |$73.67^{+1.01}_{-0.91}$| | |$152^{+30}_{-28}$| | 0.48 ± 0.08 | |$53.3^{+11.7}_{-9.4}$| | |$3.2^{+2.4}_{-2.1}$| | 14.3 | 0.84 |
GJ 1289 | D23 | 73.66 ± 0.92 | |$152^{+32}_{-27}$| | 0.48 ± 0.09 | |$53.2^{+12.4}_{-10.1}$| | |$4.2^{+2.7}_{-1.6}$| | 13.9 | 0.82 |
GJ 1151 | c1 | |$175.8^{+3.2}_{-3.4}$| | 300 | |$0.40^{+0.10}_{-0.09}$| | |$12.7^{+3.2}_{-2.4}$| | 3.3 ± 0.7 | 5.8 | 0.99 |
GJ 1151 | Bℓ | |$176.1^{+3.6}_{-4.1}$| | 300 | |$0.42^{+0.10}_{-0.09}$| | |$14.6^{+3.4}_{-2.7}$| | |$1.1^{+1.1}_{-0.8}$| | 6.7 | 0.73 |
GJ 1151 | D23 | 175.6 ± 4.9 | 300 | 0.43 ± 0.11 | |$14.9^{+4.2}_{-3.3}$| | |$1.6^{+1.3}_{-0.7}$| | 6.7 | 0.72 |
GJ 1286 | c1 | |$186.8^{+9.5}_{-5.8}$| | 300 | |$0.23^{+0.05}_{-0.04}$| | |$18.0^{+4.3}_{-3.1}$| | |$2.7^{+1.5}_{-1.7}$| | 7.5 | 1.02 |
GJ 1286 | Bℓ | |$181^{+18}_{-13}$| | 300 | |$0.28^{+0.13}_{-0.07}$| | |$17.2^{+6.2}_{-3.6}$| | |$3.9^{+2.3}_{-2.4}$| | 12.0 | 1.03 |
GJ 1286 | D23 | 178 ± 15 | 300 | 0.29 ± 0.09 | |$16.7^{+4.6}_{-3.6}$| | |$4.6^{+2.6}_{-1.6}$| | 10.1 | 1.02 |
Gl 617B | c1 | |$37.8^{+8.5}_{-2.6}$| | |$35^{+8}_{-4}$| | |$0.47^{+0.09}_{-0.05}$| | |$5.9^{+1.2}_{-0.8}$| | |$0.7^{+0.6}_{-0.5}$| | 2.2 | 0.66 |
Gl 617B | Bℓ | |$40.6^{+2.1}_{-4.4}$| | |$82^{+45}_{-30}$| | |$0.58^{+0.13}_{-0.11}$| | |$5.5^{+1.3}_{-1.1}$| | |$1.3^{+1.0}_{-0.9}$| | 5.0 | 0.86 |
Gl 617B | D23 | 40.4 ± 3.0 | |$69^{+35}_{-23}$| | 0.60 ± 0.22 | |$5.4^{+1.3}_{-1.0}$| | |$1.7^{+1.1}_{-0.7}$| | 4.9 | 0.86 |
Gl 408 | c1 | |$175^{+12}_{-14}$| | 200 | |$0.18^{+0.10}_{-0.05}$| | |$4.2^{+0.9}_{-0.8}$| | |$2.2^{+0.5}_{-0.6}$| | 3.9 | 1.19 |
Gl 408 | Bℓ | |$170.7^{+7.1}_{-9.8}$| | 200 | |$0.22^{+0.13}_{-0.08}$| | |$6.3^{+1.6}_{-1.2}$| | |$1.0^{+1.0}_{-0.7}$| | 6.9 | 0.72 |
Gl 408 | D23 | 171.0 ± 8.4 | 200 | 0.21 ± 0.10 | |$6.3^{+1.5}_{-1.2}$| | |$1.5^{+1.2}_{-0.7}$| | 6.3 | 0.66 |
Star . | Data . | Rotation period . | Decay time . | Smoothing factor . | Amplitude . | White noise . | Rms . | |$\chi ^2_{\rm r}$| . |
---|---|---|---|---|---|---|---|---|
. | . | Prot (d) . | l (d) . | β . | α (G) . | σ (G) . | (G) . | . |
Gl 905 | c1 | |$111.7^{+3.0}_{-3.2}$| | |$133^{+18}_{-22}$| | |$0.50^{+0.09}_{-0.07}$| | |$12.9^{+3.1}_{-2.1}$| | |$0.6^{+0.5}_{-0.4}$| | 3.8 | 0.79 |
Gl 905 | Bℓ | |$114.4^{+3.5}_{-2.4}$| | |$130^{+25}_{-32}$| | |$0.44^{+0.12}_{-0.09}$| | |$14.1^{+3.5}_{-2.4}$| | |$1.2^{+1.1}_{-0.8}$| | 6.9 | 0.87 |
Gl 905 | D23 | 114.3 ± 2.8 | |$129^{+25}_{-21}$| | 0.43 ± 0.09 | |$13.3^{+2.5}_{-2.1}$| | |$1.7^{+1.2}_{-0.7}$| | 6.2 | 0.84 |
GJ 1289 | c1 | |$75.62^{+0.85}_{-0.79}$| | |$129^{+26}_{-24}$| | 0.40 ± 0.05 | |$41.9^{+7.9}_{-6.0}$| | |$1.2^{+1.1}_{-0.8}$| | 6.9 | 0.72 |
GJ 1289 | Bℓ | |$73.67^{+1.01}_{-0.91}$| | |$152^{+30}_{-28}$| | 0.48 ± 0.08 | |$53.3^{+11.7}_{-9.4}$| | |$3.2^{+2.4}_{-2.1}$| | 14.3 | 0.84 |
GJ 1289 | D23 | 73.66 ± 0.92 | |$152^{+32}_{-27}$| | 0.48 ± 0.09 | |$53.2^{+12.4}_{-10.1}$| | |$4.2^{+2.7}_{-1.6}$| | 13.9 | 0.82 |
GJ 1151 | c1 | |$175.8^{+3.2}_{-3.4}$| | 300 | |$0.40^{+0.10}_{-0.09}$| | |$12.7^{+3.2}_{-2.4}$| | 3.3 ± 0.7 | 5.8 | 0.99 |
GJ 1151 | Bℓ | |$176.1^{+3.6}_{-4.1}$| | 300 | |$0.42^{+0.10}_{-0.09}$| | |$14.6^{+3.4}_{-2.7}$| | |$1.1^{+1.1}_{-0.8}$| | 6.7 | 0.73 |
GJ 1151 | D23 | 175.6 ± 4.9 | 300 | 0.43 ± 0.11 | |$14.9^{+4.2}_{-3.3}$| | |$1.6^{+1.3}_{-0.7}$| | 6.7 | 0.72 |
GJ 1286 | c1 | |$186.8^{+9.5}_{-5.8}$| | 300 | |$0.23^{+0.05}_{-0.04}$| | |$18.0^{+4.3}_{-3.1}$| | |$2.7^{+1.5}_{-1.7}$| | 7.5 | 1.02 |
GJ 1286 | Bℓ | |$181^{+18}_{-13}$| | 300 | |$0.28^{+0.13}_{-0.07}$| | |$17.2^{+6.2}_{-3.6}$| | |$3.9^{+2.3}_{-2.4}$| | 12.0 | 1.03 |
GJ 1286 | D23 | 178 ± 15 | 300 | 0.29 ± 0.09 | |$16.7^{+4.6}_{-3.6}$| | |$4.6^{+2.6}_{-1.6}$| | 10.1 | 1.02 |
Gl 617B | c1 | |$37.8^{+8.5}_{-2.6}$| | |$35^{+8}_{-4}$| | |$0.47^{+0.09}_{-0.05}$| | |$5.9^{+1.2}_{-0.8}$| | |$0.7^{+0.6}_{-0.5}$| | 2.2 | 0.66 |
Gl 617B | Bℓ | |$40.6^{+2.1}_{-4.4}$| | |$82^{+45}_{-30}$| | |$0.58^{+0.13}_{-0.11}$| | |$5.5^{+1.3}_{-1.1}$| | |$1.3^{+1.0}_{-0.9}$| | 5.0 | 0.86 |
Gl 617B | D23 | 40.4 ± 3.0 | |$69^{+35}_{-23}$| | 0.60 ± 0.22 | |$5.4^{+1.3}_{-1.0}$| | |$1.7^{+1.1}_{-0.7}$| | 4.9 | 0.86 |
Gl 408 | c1 | |$175^{+12}_{-14}$| | 200 | |$0.18^{+0.10}_{-0.05}$| | |$4.2^{+0.9}_{-0.8}$| | |$2.2^{+0.5}_{-0.6}$| | 3.9 | 1.19 |
Gl 408 | Bℓ | |$170.7^{+7.1}_{-9.8}$| | 200 | |$0.22^{+0.13}_{-0.08}$| | |$6.3^{+1.6}_{-1.2}$| | |$1.0^{+1.0}_{-0.7}$| | 6.9 | 0.72 |
Gl 408 | D23 | 171.0 ± 8.4 | 200 | 0.21 ± 0.10 | |$6.3^{+1.5}_{-1.2}$| | |$1.5^{+1.2}_{-0.7}$| | 6.3 | 0.66 |
Summary of the best-fitting parameters of the QP GPR fits applied to c1 and Bℓ for the six M dwarfs in our sample and the comparison with the corresponding GPR results for Bℓ by D23 marked as D23 in the second column.
Star . | Data . | Rotation period . | Decay time . | Smoothing factor . | Amplitude . | White noise . | Rms . | |$\chi ^2_{\rm r}$| . |
---|---|---|---|---|---|---|---|---|
. | . | Prot (d) . | l (d) . | β . | α (G) . | σ (G) . | (G) . | . |
Gl 905 | c1 | |$111.7^{+3.0}_{-3.2}$| | |$133^{+18}_{-22}$| | |$0.50^{+0.09}_{-0.07}$| | |$12.9^{+3.1}_{-2.1}$| | |$0.6^{+0.5}_{-0.4}$| | 3.8 | 0.79 |
Gl 905 | Bℓ | |$114.4^{+3.5}_{-2.4}$| | |$130^{+25}_{-32}$| | |$0.44^{+0.12}_{-0.09}$| | |$14.1^{+3.5}_{-2.4}$| | |$1.2^{+1.1}_{-0.8}$| | 6.9 | 0.87 |
Gl 905 | D23 | 114.3 ± 2.8 | |$129^{+25}_{-21}$| | 0.43 ± 0.09 | |$13.3^{+2.5}_{-2.1}$| | |$1.7^{+1.2}_{-0.7}$| | 6.2 | 0.84 |
GJ 1289 | c1 | |$75.62^{+0.85}_{-0.79}$| | |$129^{+26}_{-24}$| | 0.40 ± 0.05 | |$41.9^{+7.9}_{-6.0}$| | |$1.2^{+1.1}_{-0.8}$| | 6.9 | 0.72 |
GJ 1289 | Bℓ | |$73.67^{+1.01}_{-0.91}$| | |$152^{+30}_{-28}$| | 0.48 ± 0.08 | |$53.3^{+11.7}_{-9.4}$| | |$3.2^{+2.4}_{-2.1}$| | 14.3 | 0.84 |
GJ 1289 | D23 | 73.66 ± 0.92 | |$152^{+32}_{-27}$| | 0.48 ± 0.09 | |$53.2^{+12.4}_{-10.1}$| | |$4.2^{+2.7}_{-1.6}$| | 13.9 | 0.82 |
GJ 1151 | c1 | |$175.8^{+3.2}_{-3.4}$| | 300 | |$0.40^{+0.10}_{-0.09}$| | |$12.7^{+3.2}_{-2.4}$| | 3.3 ± 0.7 | 5.8 | 0.99 |
GJ 1151 | Bℓ | |$176.1^{+3.6}_{-4.1}$| | 300 | |$0.42^{+0.10}_{-0.09}$| | |$14.6^{+3.4}_{-2.7}$| | |$1.1^{+1.1}_{-0.8}$| | 6.7 | 0.73 |
GJ 1151 | D23 | 175.6 ± 4.9 | 300 | 0.43 ± 0.11 | |$14.9^{+4.2}_{-3.3}$| | |$1.6^{+1.3}_{-0.7}$| | 6.7 | 0.72 |
GJ 1286 | c1 | |$186.8^{+9.5}_{-5.8}$| | 300 | |$0.23^{+0.05}_{-0.04}$| | |$18.0^{+4.3}_{-3.1}$| | |$2.7^{+1.5}_{-1.7}$| | 7.5 | 1.02 |
GJ 1286 | Bℓ | |$181^{+18}_{-13}$| | 300 | |$0.28^{+0.13}_{-0.07}$| | |$17.2^{+6.2}_{-3.6}$| | |$3.9^{+2.3}_{-2.4}$| | 12.0 | 1.03 |
GJ 1286 | D23 | 178 ± 15 | 300 | 0.29 ± 0.09 | |$16.7^{+4.6}_{-3.6}$| | |$4.6^{+2.6}_{-1.6}$| | 10.1 | 1.02 |
Gl 617B | c1 | |$37.8^{+8.5}_{-2.6}$| | |$35^{+8}_{-4}$| | |$0.47^{+0.09}_{-0.05}$| | |$5.9^{+1.2}_{-0.8}$| | |$0.7^{+0.6}_{-0.5}$| | 2.2 | 0.66 |
Gl 617B | Bℓ | |$40.6^{+2.1}_{-4.4}$| | |$82^{+45}_{-30}$| | |$0.58^{+0.13}_{-0.11}$| | |$5.5^{+1.3}_{-1.1}$| | |$1.3^{+1.0}_{-0.9}$| | 5.0 | 0.86 |
Gl 617B | D23 | 40.4 ± 3.0 | |$69^{+35}_{-23}$| | 0.60 ± 0.22 | |$5.4^{+1.3}_{-1.0}$| | |$1.7^{+1.1}_{-0.7}$| | 4.9 | 0.86 |
Gl 408 | c1 | |$175^{+12}_{-14}$| | 200 | |$0.18^{+0.10}_{-0.05}$| | |$4.2^{+0.9}_{-0.8}$| | |$2.2^{+0.5}_{-0.6}$| | 3.9 | 1.19 |
Gl 408 | Bℓ | |$170.7^{+7.1}_{-9.8}$| | 200 | |$0.22^{+0.13}_{-0.08}$| | |$6.3^{+1.6}_{-1.2}$| | |$1.0^{+1.0}_{-0.7}$| | 6.9 | 0.72 |
Gl 408 | D23 | 171.0 ± 8.4 | 200 | 0.21 ± 0.10 | |$6.3^{+1.5}_{-1.2}$| | |$1.5^{+1.2}_{-0.7}$| | 6.3 | 0.66 |
Star . | Data . | Rotation period . | Decay time . | Smoothing factor . | Amplitude . | White noise . | Rms . | |$\chi ^2_{\rm r}$| . |
---|---|---|---|---|---|---|---|---|
. | . | Prot (d) . | l (d) . | β . | α (G) . | σ (G) . | (G) . | . |
Gl 905 | c1 | |$111.7^{+3.0}_{-3.2}$| | |$133^{+18}_{-22}$| | |$0.50^{+0.09}_{-0.07}$| | |$12.9^{+3.1}_{-2.1}$| | |$0.6^{+0.5}_{-0.4}$| | 3.8 | 0.79 |
Gl 905 | Bℓ | |$114.4^{+3.5}_{-2.4}$| | |$130^{+25}_{-32}$| | |$0.44^{+0.12}_{-0.09}$| | |$14.1^{+3.5}_{-2.4}$| | |$1.2^{+1.1}_{-0.8}$| | 6.9 | 0.87 |
Gl 905 | D23 | 114.3 ± 2.8 | |$129^{+25}_{-21}$| | 0.43 ± 0.09 | |$13.3^{+2.5}_{-2.1}$| | |$1.7^{+1.2}_{-0.7}$| | 6.2 | 0.84 |
GJ 1289 | c1 | |$75.62^{+0.85}_{-0.79}$| | |$129^{+26}_{-24}$| | 0.40 ± 0.05 | |$41.9^{+7.9}_{-6.0}$| | |$1.2^{+1.1}_{-0.8}$| | 6.9 | 0.72 |
GJ 1289 | Bℓ | |$73.67^{+1.01}_{-0.91}$| | |$152^{+30}_{-28}$| | 0.48 ± 0.08 | |$53.3^{+11.7}_{-9.4}$| | |$3.2^{+2.4}_{-2.1}$| | 14.3 | 0.84 |
GJ 1289 | D23 | 73.66 ± 0.92 | |$152^{+32}_{-27}$| | 0.48 ± 0.09 | |$53.2^{+12.4}_{-10.1}$| | |$4.2^{+2.7}_{-1.6}$| | 13.9 | 0.82 |
GJ 1151 | c1 | |$175.8^{+3.2}_{-3.4}$| | 300 | |$0.40^{+0.10}_{-0.09}$| | |$12.7^{+3.2}_{-2.4}$| | 3.3 ± 0.7 | 5.8 | 0.99 |
GJ 1151 | Bℓ | |$176.1^{+3.6}_{-4.1}$| | 300 | |$0.42^{+0.10}_{-0.09}$| | |$14.6^{+3.4}_{-2.7}$| | |$1.1^{+1.1}_{-0.8}$| | 6.7 | 0.73 |
GJ 1151 | D23 | 175.6 ± 4.9 | 300 | 0.43 ± 0.11 | |$14.9^{+4.2}_{-3.3}$| | |$1.6^{+1.3}_{-0.7}$| | 6.7 | 0.72 |
GJ 1286 | c1 | |$186.8^{+9.5}_{-5.8}$| | 300 | |$0.23^{+0.05}_{-0.04}$| | |$18.0^{+4.3}_{-3.1}$| | |$2.7^{+1.5}_{-1.7}$| | 7.5 | 1.02 |
GJ 1286 | Bℓ | |$181^{+18}_{-13}$| | 300 | |$0.28^{+0.13}_{-0.07}$| | |$17.2^{+6.2}_{-3.6}$| | |$3.9^{+2.3}_{-2.4}$| | 12.0 | 1.03 |
GJ 1286 | D23 | 178 ± 15 | 300 | 0.29 ± 0.09 | |$16.7^{+4.6}_{-3.6}$| | |$4.6^{+2.6}_{-1.6}$| | 10.1 | 1.02 |
Gl 617B | c1 | |$37.8^{+8.5}_{-2.6}$| | |$35^{+8}_{-4}$| | |$0.47^{+0.09}_{-0.05}$| | |$5.9^{+1.2}_{-0.8}$| | |$0.7^{+0.6}_{-0.5}$| | 2.2 | 0.66 |
Gl 617B | Bℓ | |$40.6^{+2.1}_{-4.4}$| | |$82^{+45}_{-30}$| | |$0.58^{+0.13}_{-0.11}$| | |$5.5^{+1.3}_{-1.1}$| | |$1.3^{+1.0}_{-0.9}$| | 5.0 | 0.86 |
Gl 617B | D23 | 40.4 ± 3.0 | |$69^{+35}_{-23}$| | 0.60 ± 0.22 | |$5.4^{+1.3}_{-1.0}$| | |$1.7^{+1.1}_{-0.7}$| | 4.9 | 0.86 |
Gl 408 | c1 | |$175^{+12}_{-14}$| | 200 | |$0.18^{+0.10}_{-0.05}$| | |$4.2^{+0.9}_{-0.8}$| | |$2.2^{+0.5}_{-0.6}$| | 3.9 | 1.19 |
Gl 408 | Bℓ | |$170.7^{+7.1}_{-9.8}$| | 200 | |$0.22^{+0.13}_{-0.08}$| | |$6.3^{+1.6}_{-1.2}$| | |$1.0^{+1.0}_{-0.7}$| | 6.9 | 0.72 |
Gl 408 | D23 | 171.0 ± 8.4 | 200 | 0.21 ± 0.10 | |$6.3^{+1.5}_{-1.2}$| | |$1.5^{+1.2}_{-0.7}$| | 6.3 | 0.66 |
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