MCMC results of our RV analysis of V347 Aur. We list the recovered GP and orbital parameters with their error bars (with T|$_{\rm c}$| and T|$_{\rm p}$| denoting the times of inferior conjunction and periastron passage, respectively, a the semimajor axis of the orbit, and |$a_{\rm p}$| and |$a_{\rm a}$| the distances between both components at periastron and apoastron, respectively), as well as the corresponding priors whenever relevant. The last two rows give the |$\chi ^2_{\rm r}$| and the rms of the best fit to our RV data.
| Parameter . | Value . | Prior . |
|---|---|---|
| |$\theta _1$| (km s|$^{-1}$|) | |$0.22^{+0.07}_{-0.06}$| | Mod Jeffreys (|$\sigma _{\rm RV}$|) |
| |$\theta _2$| (d) | |$4.12\pm 0.03$| | Gaussian (4.12, 0.2) |
| |$\theta _3$| (d) | 300 | |
| |$\theta _4$| | 0.85 | |
| |$\theta _5$| (km s|$^{-1}$|) | |$0.08\pm 0.06$| | Mod Jeffreys (|$\sigma _{\rm RV}$|) |
| K (km s|$^{-1}$|) | |$1.05\pm 0.06$| | Mod Jeffreys (|$\sigma _{\rm RV}$|) |
| |$P_{\rm orb}$| (d) | |$154.6\pm 0.7$| | Gaussian (155, 5) |
| T|$_{\rm c}$| (2459000+) | |$457.5\pm 3.0$| | Gaussian (458, 10) |
| T|$_{\rm p}$| (2459000+) | |$408.0\pm 4.2$| | From orbital elements |
| |$\sqrt{e}\cos \omega$| | |$0.33\pm 0.08$| | Gaussian (0, 1) |
| |$\sqrt{e}\sin \omega$| | |$-0.42\pm 0.12$| | Gaussian (0, 1) |
| e | |$0.28\pm 0.12$| | From |$\sqrt{e}\cos \omega$| and |$\sqrt{e}\sin \omega$| |
| |$\omega$| (rad) | |$-0.91\pm 0.18$| | From |$\sqrt{e}\cos \omega$| and |$\sqrt{e}\sin \omega$| |
| |$M_b \sin i$| (|${\rm M}_{2\!\!_{\mathbf +} }$|) | |$12.7\pm 0.7$| | From K, |$P_{\rm orb}$| and |$M_{\star }$| |
| |$M_b$| (|${\rm M}_{2\!\!_{\mathbf +} }$|) | |$29.0\pm 1.6$| | From |$M_b \sin i$| and i |
| a (au) | |$0.39\pm 0.02$| | From |$P_{\rm orb}$|, |$M_{\star }$| and e |
| |$a_{\rm p}$| (au) | |$0.28\pm 0.05$| | From a and e |
| |$a_{\rm a}$| (au) | |$0.50\pm 0.05$| | From a and e |
| |$\chi ^2_{\rm r}$| | 0.93 | |
| rms (km s|$^{-1}$|) | 0.19 |
| Parameter . | Value . | Prior . |
|---|---|---|
| |$\theta _1$| (km s|$^{-1}$|) | |$0.22^{+0.07}_{-0.06}$| | Mod Jeffreys (|$\sigma _{\rm RV}$|) |
| |$\theta _2$| (d) | |$4.12\pm 0.03$| | Gaussian (4.12, 0.2) |
| |$\theta _3$| (d) | 300 | |
| |$\theta _4$| | 0.85 | |
| |$\theta _5$| (km s|$^{-1}$|) | |$0.08\pm 0.06$| | Mod Jeffreys (|$\sigma _{\rm RV}$|) |
| K (km s|$^{-1}$|) | |$1.05\pm 0.06$| | Mod Jeffreys (|$\sigma _{\rm RV}$|) |
| |$P_{\rm orb}$| (d) | |$154.6\pm 0.7$| | Gaussian (155, 5) |
| T|$_{\rm c}$| (2459000+) | |$457.5\pm 3.0$| | Gaussian (458, 10) |
| T|$_{\rm p}$| (2459000+) | |$408.0\pm 4.2$| | From orbital elements |
| |$\sqrt{e}\cos \omega$| | |$0.33\pm 0.08$| | Gaussian (0, 1) |
| |$\sqrt{e}\sin \omega$| | |$-0.42\pm 0.12$| | Gaussian (0, 1) |
| e | |$0.28\pm 0.12$| | From |$\sqrt{e}\cos \omega$| and |$\sqrt{e}\sin \omega$| |
| |$\omega$| (rad) | |$-0.91\pm 0.18$| | From |$\sqrt{e}\cos \omega$| and |$\sqrt{e}\sin \omega$| |
| |$M_b \sin i$| (|${\rm M}_{2\!\!_{\mathbf +} }$|) | |$12.7\pm 0.7$| | From K, |$P_{\rm orb}$| and |$M_{\star }$| |
| |$M_b$| (|${\rm M}_{2\!\!_{\mathbf +} }$|) | |$29.0\pm 1.6$| | From |$M_b \sin i$| and i |
| a (au) | |$0.39\pm 0.02$| | From |$P_{\rm orb}$|, |$M_{\star }$| and e |
| |$a_{\rm p}$| (au) | |$0.28\pm 0.05$| | From a and e |
| |$a_{\rm a}$| (au) | |$0.50\pm 0.05$| | From a and e |
| |$\chi ^2_{\rm r}$| | 0.93 | |
| rms (km s|$^{-1}$|) | 0.19 |
MCMC results of our RV analysis of V347 Aur. We list the recovered GP and orbital parameters with their error bars (with T|$_{\rm c}$| and T|$_{\rm p}$| denoting the times of inferior conjunction and periastron passage, respectively, a the semimajor axis of the orbit, and |$a_{\rm p}$| and |$a_{\rm a}$| the distances between both components at periastron and apoastron, respectively), as well as the corresponding priors whenever relevant. The last two rows give the |$\chi ^2_{\rm r}$| and the rms of the best fit to our RV data.
| Parameter . | Value . | Prior . |
|---|---|---|
| |$\theta _1$| (km s|$^{-1}$|) | |$0.22^{+0.07}_{-0.06}$| | Mod Jeffreys (|$\sigma _{\rm RV}$|) |
| |$\theta _2$| (d) | |$4.12\pm 0.03$| | Gaussian (4.12, 0.2) |
| |$\theta _3$| (d) | 300 | |
| |$\theta _4$| | 0.85 | |
| |$\theta _5$| (km s|$^{-1}$|) | |$0.08\pm 0.06$| | Mod Jeffreys (|$\sigma _{\rm RV}$|) |
| K (km s|$^{-1}$|) | |$1.05\pm 0.06$| | Mod Jeffreys (|$\sigma _{\rm RV}$|) |
| |$P_{\rm orb}$| (d) | |$154.6\pm 0.7$| | Gaussian (155, 5) |
| T|$_{\rm c}$| (2459000+) | |$457.5\pm 3.0$| | Gaussian (458, 10) |
| T|$_{\rm p}$| (2459000+) | |$408.0\pm 4.2$| | From orbital elements |
| |$\sqrt{e}\cos \omega$| | |$0.33\pm 0.08$| | Gaussian (0, 1) |
| |$\sqrt{e}\sin \omega$| | |$-0.42\pm 0.12$| | Gaussian (0, 1) |
| e | |$0.28\pm 0.12$| | From |$\sqrt{e}\cos \omega$| and |$\sqrt{e}\sin \omega$| |
| |$\omega$| (rad) | |$-0.91\pm 0.18$| | From |$\sqrt{e}\cos \omega$| and |$\sqrt{e}\sin \omega$| |
| |$M_b \sin i$| (|${\rm M}_{2\!\!_{\mathbf +} }$|) | |$12.7\pm 0.7$| | From K, |$P_{\rm orb}$| and |$M_{\star }$| |
| |$M_b$| (|${\rm M}_{2\!\!_{\mathbf +} }$|) | |$29.0\pm 1.6$| | From |$M_b \sin i$| and i |
| a (au) | |$0.39\pm 0.02$| | From |$P_{\rm orb}$|, |$M_{\star }$| and e |
| |$a_{\rm p}$| (au) | |$0.28\pm 0.05$| | From a and e |
| |$a_{\rm a}$| (au) | |$0.50\pm 0.05$| | From a and e |
| |$\chi ^2_{\rm r}$| | 0.93 | |
| rms (km s|$^{-1}$|) | 0.19 |
| Parameter . | Value . | Prior . |
|---|---|---|
| |$\theta _1$| (km s|$^{-1}$|) | |$0.22^{+0.07}_{-0.06}$| | Mod Jeffreys (|$\sigma _{\rm RV}$|) |
| |$\theta _2$| (d) | |$4.12\pm 0.03$| | Gaussian (4.12, 0.2) |
| |$\theta _3$| (d) | 300 | |
| |$\theta _4$| | 0.85 | |
| |$\theta _5$| (km s|$^{-1}$|) | |$0.08\pm 0.06$| | Mod Jeffreys (|$\sigma _{\rm RV}$|) |
| K (km s|$^{-1}$|) | |$1.05\pm 0.06$| | Mod Jeffreys (|$\sigma _{\rm RV}$|) |
| |$P_{\rm orb}$| (d) | |$154.6\pm 0.7$| | Gaussian (155, 5) |
| T|$_{\rm c}$| (2459000+) | |$457.5\pm 3.0$| | Gaussian (458, 10) |
| T|$_{\rm p}$| (2459000+) | |$408.0\pm 4.2$| | From orbital elements |
| |$\sqrt{e}\cos \omega$| | |$0.33\pm 0.08$| | Gaussian (0, 1) |
| |$\sqrt{e}\sin \omega$| | |$-0.42\pm 0.12$| | Gaussian (0, 1) |
| e | |$0.28\pm 0.12$| | From |$\sqrt{e}\cos \omega$| and |$\sqrt{e}\sin \omega$| |
| |$\omega$| (rad) | |$-0.91\pm 0.18$| | From |$\sqrt{e}\cos \omega$| and |$\sqrt{e}\sin \omega$| |
| |$M_b \sin i$| (|${\rm M}_{2\!\!_{\mathbf +} }$|) | |$12.7\pm 0.7$| | From K, |$P_{\rm orb}$| and |$M_{\star }$| |
| |$M_b$| (|${\rm M}_{2\!\!_{\mathbf +} }$|) | |$29.0\pm 1.6$| | From |$M_b \sin i$| and i |
| a (au) | |$0.39\pm 0.02$| | From |$P_{\rm orb}$|, |$M_{\star }$| and e |
| |$a_{\rm p}$| (au) | |$0.28\pm 0.05$| | From a and e |
| |$a_{\rm a}$| (au) | |$0.50\pm 0.05$| | From a and e |
| |$\chi ^2_{\rm r}$| | 0.93 | |
| rms (km s|$^{-1}$|) | 0.19 |
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