Revisiting the dynamical masses of the transiting planets in the young AU Mic system: Potential AU Mic b inflation at ~20 Myr

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Table 7

Prior and posterior parameters of joint fit for AU Mic b and c.

Parameter	Prior	Posterior (e = 0)	Posterior (e, ω free)
$T_{c}^{b} (BJD)$ ${T_c^c({\rm{BJD}})}$	𝒩(2458330.387, 0.05)	${2458330.350825}_{- 0.000502}^{+ 0.000497}$ $2458330.350825_{ - 0.000502}^{ + 0.000497}$	${2458330.350878}_{- 0.000503}^{+ 0.0000535}$ $2458330.350878_{ - 0.000503}^{ + 0.0000535}$
P^b (d)	𝒩(8.463, 0.05)	${8.463446}_{- 0.000005}^{+ 0.000005}$ $8.463446_{ - 0.000005}^{ + 0.000005}$	${8.463446}_{- 0.000005}^{+ 0.000005}$ $8.463446_{ - 0.000005}^{ + 0.000005}$
$R_{p}^{b} / R_{⋆}$ $R_p^b/{R_ \star }$	𝒰(0, 1)	${0.0495}_{- 0.0001}^{+ 0.0001}$ $0.0495_{ - 0.0001}^{ + 0.0001}$	${0.0499}_{- 0.0004}^{+ 0.0004}$ $0.0499_{ - 0.0004}^{ + 0.0004}$
b^b	𝒰(0, 1)	${0.451}_{- 0.002}^{+ 0.002}$ ${0.451_{ - 0.002}^{ + 0.002}}$	${0.502}_{- 0.048}^{+ 0.044}$ ${0.502_{ - 0.048}^{ + 0.044}}$
K^b (m s⁻¹)	𝒰(0, 50)	${3.712}_{- 1.063}^{+ 1.066}$ ${3.712_{ - 1.063}^{ + 1.063}}$	${3.800}_{- 1.095}^{+ 1.093}$ ${3.800_{ - 1.095}^{ + 1.093}}$
${(\sqrt{e} sin ω)}^{b}$ ${{{(\sqrt e \sin \omega )}^b}}$	𝒰(−1, 1)	…	$- {0.138}_{- 0.082}^{+ 0.110}$ ${ - 0.138_{ - 0.082}^{ + 0.110}}$
${(\sqrt{e} cos ω)}^{b}$ ${{{(\sqrt e \cos \omega )}^b}}$	𝒰(−1, 1)	…	${0.074}_{- 0.284}^{+ 0.243}$ ${0.074_{ - 0.284}^{ + 0.243}}$

$T_{c}^{c} (BJD)$ ${T_c^c({\rm{BJD}})}$	𝒩(2458342.224, 0.05)	${2458342.223487}_{- 0.001116}^{+ 0.001080}$ $2458342.223487_{ - 0.001116}^{ + 0.001080}$	${2458342.223325}_{- 0.001105}^{+ 0.001085}$ $2458342.223325_{ - 0.001105}^{ + 0.001085}$
P^c (d)	𝒩(18.859, 0.05)	${18.859018}_{- 0.000022}^{+ 0.000023}$ $18.859018_{ - 0.000022}^{ + 0.000023}$	${18.859023}_{- 0.000024}^{+ 0.000022}$ $18.859023_{ - 0.000024}^{ + 0.000022}$
$R_{p}^{c} / R_{⋆}$ $R_p^c/{R_ \star }$	𝒰(0, 1)	${0.0300}_{- 0.0003}^{+ 0.0003}$ ${0.0300_{ - 0.0003}^{ + 0.0003}}$	${0.0291}_{- 0.0003}^{+ 0.0005}$ ${0.0291_{ - 0.0003}^{ + 0.0005}}$
b^c	𝒰(0, 1)	${0.544}_{- 0.006}^{+ 0.007}$ ${0.544_{ - 0.007}^{ + 0.007}}$	${0.259}_{- 0.178}^{+ 0.203}$ ${0.259_{ - 0.203}^{ + 0.178}}$
K^c (m s⁻¹)	𝒰(0, 50)	${4.284}_{- 0.985}^{+ 0.993}$ ${4.284_{ - 0.985}^{ + 0.993}}$	${4.696}_{- 1.054}^{+ 1.031}$ ${4.696_{ - 1.054}^{ + 1.031}}$
${(\sqrt{e} sin ω)}^{c}$ ${{{(\sqrt e \sin \omega )}^c}}$	𝒰(−1, 1)	…	${0.293}_{- 0.164}^{+ 0.088}$ ${0.293_{ - 0.164}^{ + 0.088}}$
${(\sqrt{e} cos ω)}^{c}$ ${{{(\sqrt e \cos \omega )}^c}}$	𝒰(−1, 1)	…	${0.071}_{- 0.349}^{+ 0.333}$ ${0.071_{ - 0.349}^{ + 0.333}}$

γ_TESS (ppt)	𝒰(−3σ_TESS, 3σ_TESS)	${6.5}_{- 3.2}^{+ 3.2}$ ${6.5_{ - 3.2}^{ + 3.2}}$	${6.6}_{- 3.1}^{+ 3.0}$ ${6.6_{ - 3.1}^{ + 3.0}}$
γ_CHEOPS (ppt)	𝒰(−3σ_CHEOPS, 3σ_CHEOPS)	$- {0.1}_{- 0.1}^{+ 0.1}$ ${ - 0.1_{ - 0.1}^{ + 0.1}}$	$- {0.1}_{- 0.1}^{+ 0.1}$ ${ - 0.1_{ - 0.1}^{ + 0.1}}$
γ_HARPS (m s⁻¹)	𝒰(−3σ_HARPS, 3σ_HARPS)	${27.0}_{- 42.7}^{+ 43.2}$ ${27.0_{ - 42.7}^{ + 43.2}}$	${29.7}_{- 43.0}^{+ 43.1}$ ${29.7_{ - 43.0}^{ + 43.1}}$
γ_{CARMENES VIS} (m s⁻¹)	𝒰(−3σ_{CARMENES VIS}, 3σ_{CARMENES VIS})	${11.0}_{- 34.6}^{+ 35.2}$ ${11.0_{ - 34.2}^{ + 35.2}}$	${10.6}_{- 34.3}^{+ 36.2}$ ${10.6_{ - 34.3}^{ + 36.2}}$
γ_{CARMENES NIR} (m s⁻¹)	𝒰(−3σ_{CARMENES NIR}, 3σ_{CARMENES NIR})	$- {10.6}_{- 27.1}^{+ 26.6}$ ${ - 10.6_{ - 27.1}^{ + 26.6}}$	$- {10.9}_{- 27.8}^{+ 27.2}$ $- 10.9_{ - 27.8}^{ + 27.2}$
γ_SPIRou (ms⁻¹)	𝒰(−3σ_SPIRou. 3σ_SPIRou)	$- {2.1}_{- 7.4}^{+ 7.4}$ ${ - 2.1_{ - 7.4}^{ + 7.4}}$	$- {2.3}_{- 7.7}^{+ 7.5}$ ${ - 2.3_{ - 7.7}^{ + 7.5}}$
σ_jit,TESS,120 (ppt)	𝒰(0, 3σ_TESs)	${0.27}_{- 0.01}^{+ 0.01}$ ${0.27_{ - 0.01}^{ + 0.01}}$	${0.27}_{- 0.01}^{+ 0.01}$ ${0.27_{ - 0.01}^{ + 0.01}}$
σ_jit,TESS,20 (ppt)	𝒰(0, 3σ_TRSS)	${0.42}_{- 0.01}^{+ 0.01}$ ${0.42_{ - 0.01}^{ + 0.01}}$	${0.42}_{- 0.01}^{+ 0.01}$ ${0.42_{ - 0.01}^{ + 0.01}}$
σ_{jit,CHE0PS,15} (ppt)	𝒰(0, 3σ_CHEOPs)	${0.34}_{- 0.01}^{+ 0.01}$ ${0.34_{ - 0.01}^{ + 0.01}}$	${0.34}_{- 0.01}^{+ 0.01}$ ${0.34_{ - 0.01}^{ + 0.01}}$
σ_jit,CHEOPS,3 (ppt)	𝒰(0, 3σ_CHEOPs)	${0.54}_{- 0.01}^{+ 0.01}$ ${0.54_{ - 0.01}^{ + 0.01}}$	${0.54}_{- 0.01}^{+ 0.01}$ ${0.54_{ - 0.01}^{ + 0.01}}$
σ_HARPS (m s⁻¹)	𝒰(0, 3σ_HARPs)	${10.2}_{- 1.4}^{+ 1.6}$ ${10.2_{ - 1.4}^{ + 1.6}}$	${10.1}_{- 1.3}^{+ 1.6}$ ${10.1_{ - 1.3}^{ + 1.6}}$
σ_{CARMENES VIS} (m s⁻¹)	𝒰(0, 3σ_{CARMENES VIS})	${1.1}_{- 0.8}^{+ 1.2}$ ${1.1_{ - 0.8}^{ + 1.2}}$	${1.1}_{- 0.8}^{+ 1.3}$ ${1.1_{ - 0.8}^{ + 1.3}}$
σ_{CARMENES NIR} (m s⁻¹)	𝒰(0, 3σ_{CARMENES NIR})	${3.4}_{- 2.4}^{+ 3.7}$ ${3.4_{ - 2.4}^{ + 3.7}}$	${3.5}_{- 2.4}^{+ 3.7}$ ${3.5_{ - 2.4}^{ + 3.7}}$
σ_SPIRou (m s⁻¹)	𝒰(0, 3σ_SPIRou)	${13.0}_{- 1.0}^{+ 1.1}$ ${13.0_{ - 1.0}^{ + 1.1}}$	${13.0}_{- 1.1}^{+ 1.1}$ ${13.0_{ - 1.1}^{ + 1.1}}$
q_1,TESS	𝒩(0.291, 0.005)	${0.295}_{- 0.005}^{+ 0.005}$ ${0.295_{ - 0.005}^{ + 0.005}}$	${0.295}_{- 0.005}^{+ 0.005}$ ${0.295_{ - 0.005}^{ + 0.005}}$
q_2,TESS	𝒩(0.298, 0.005)	${0.300}_{- 0.005}^{+ 0.005}$ ${0.300_{ - 0.005}^{ + 0.005}}$	${0.300}_{- 0.005}^{+ 0.005}$ ${0.300_{ - 0.005}^{ + 0.005}}$
q_1,CHEOPS	𝒩(0.423, 0.005)	${0.422}_{- 0.005}^{+ 0.005}$ ${0.422_{ - 0.005}^{ + 0.005}}$	${0.421}_{- 0.005}^{+ 0.005}$ ${0.421_{ - 0.005}^{ + 0.005}}$
q_2,CHEOPS	𝒩(0.326, 0.005)	${0.320}_{- 0.005}^{+ 0.005}$ ${0.320_{ - 0.005}^{ + 0.005}}$	${0.319}_{- 0.005}^{+ 0.005}$ ${0.319_{ - 0.005}^{ + 0.005}}$
$η_{σ_{1}, TESS} (ppt)$ ${\eta _{{\sigma _1},{\rm{TESS}}}}({\rm{ppt}})$	𝒩(σ_TESS, 4)	${10.8}_{- 3.2}^{+ 3.4}$ ${10.8_{ - 3.2}^{ + 3.4}}$	${10.8}_{- 3.1}^{+ 3.5}$ ${10.8_{ - 3.1}^{ + 3.5}}$
$η_{σ_{2}, TESS} (ppt)$ ${\eta _{{\sigma _2},{\rm{TESS}}}}({\rm{ppt}})$	𝒩(σ_TESS, 4)	${47.4}_{- 1.3}^{+ 1.3}$ ${47.4_{ - 1.3}^{ + 1.3}}$	${47.4}_{- 1.3}^{+ 1.2}$ ${47.4_{ - 1.3}^{ + 1.2}}$
η_{σ, HARPS} (m s⁻¹)	𝒩(σ_HARPS, 35)	${158.5}_{- 15.4}^{+ 17.4}$ ${158.5_{ - 15.4}^{ + 17.4}}$	${159.1}_{- 15.6}^{+ 17.5}$ ${159.1_{ - 15.6}^{ + 17.5}}$
η_{σ,CARMENES VIS} (m s⁻¹)	𝒩(σ_{CARMENES VIS}, 25)	${107.1}_{- 12.1}^{+ 13.7}$ ${107.1_{ - 12.1}^{ + 13.7}}$	${106.7}_{- 12.2}^{+ 13.4}$ ${106.7_{ - 12.2}^{ + 13.4}}$
η_{σ,CARMENES NIR} (m s⁻¹)	𝒩(σ_{CARMENES NIR}, 20)	${77.6}_{- 10.1}^{+ 11.5}$ ${77.6_{ - 10.1}^{ + 11.5}}$	${78.0}_{- 9.6}^{+ 12.0}$ ${78.0_{ - 9.6}^{ + 12.0}}$
η_σ,SPIRou (m s⁻¹)	𝒩(σ_SPIRou, 8)	${31.6}_{- 3.2}^{+ 3.6}$ ${31.6_{ - 3.2}^{ + 3.6}}$	${31.8}_{- 3.1}^{+ 3.5}$ ${31.8_{ - 3.1}^{ + 3.5}}$
$η_{L_{1}}, TESS (d)$ ${\eta _{{L_1}}},\,{\rm{TESS}}\,\left( {\rm{d}} \right)$	𝒰(P_rot, 1000)	${547.3}_{- 327.7}^{+ 309.9}$ ${547.3_{ - 327.7}^{ + 309.9}}$	${546.3}_{- 318.0}^{+ 314.2}$ ${546.3_{ - 318.0}^{ + 314.2}}$
$η_{L_{2}}, TESS (d)$ ${\eta _{{L_2}}},\,{\rm{TESS}}\,\left( {\rm{d}} \right)$	𝒰(P_rot, 1000)	${5.0}_{- 0.1}^{+ 0.1}$ ${5.0_{ - 0.1}^{ + 0.1}}$	${5.0}_{- 0.1}^{+ 0.1}$ ${5.0_{ - 0.1}^{ + 0.1}}$
Η_l.RV (d)	𝒰(P_rot, 2500)	${89.0}_{- 8.4}^{+ 9.3}$ ${89.0_{ - 8.4}^{ + 9.3}}$	${89.8}_{- 8.6}^{+ 9.4}$ ${89.8_{ - 8.6}^{ + 9.4}}$
η_ω,RV	𝒰(0.1, 1.0)	${0.30}_{- 0.02}^{+ 0.02}$ ${0.30_{ - 0.02}^{ + 0.02}}$	${0.30}_{- 0.02}^{+ 0.02}$ ${0.30_{ - 0.02}^{ + 0.02}}$
$η_{P_{rot}} (d)$ ${\eta _{{P_{{\rm{rot}}}}}}({\rm{d}})$	𝒰(1, 10)	${4.860}_{- 0.002}^{+ 0.002}$ $4.860_{ - 0.002}^{ + 0.002}$	${4.860}_{- 0.002}^{+ 0.002}$ $4.860_{ - 0.002}^{ + 0.002}$

∆ ln 𝒵	…	−102199.4	−102187.4

Notes. The prior label of 𝒩 and 𝒰 represent normal and uniform distributions, respectively.

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