Hot Rocks Survey I: A possible shallow eclipse for LHS 1478 b

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Volume 695 (March 2025)

A&A, 695 (2025) A171

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Table C.1

EXOFASTv2 median values and 68% confidence interval for LHS 1478

Parameter	Description	Values
Stellar Parameters:		LHS 1478
M_*	Mass (M_⊙)…………	0.2301 ± 0.0054
R_*……	Radius (R_⊙)…………	${0.2462}_{- 0.0079}^{+ 0.0080}$ $0.2462_{ - 0.0079}^{ + 0.0080}$
L*……	Luminosity (L_⊙) …………	${0.00742}_{- 0.00032}^{+ 0.00053}$ $0.00742_{ - 0.00032}^{ + 0.00053}$
F_Bol……	Bolometric Flux (cgs) …………	${7.16}_{- 0.31}^{+ 0.51} \times 10^{- 10}$ $7.16_{ - 0.31}^{ + 0.51} \times {10^{ - 10}}$
ρ_*……	Density (cgs) …………	${21.7}_{- 2.0}^{+ 2.3}$ $21.7_{ - 2.0}^{ + 2.3}$
log ɡ……	Surface gravity (cgs) …………	${5.017}_{- 0.029}^{+ 0.030}$ $5.017_{ - 0.029}^{ + 0.030}$
T_eff……	Effective temperature (K) ……	$3415_{- 63}^{+ 82}$ $3415_{ - 63}^{ + 82}$
[Fe/H]….	Metallicity (dex) …………	$- {0.38}_{- 0.19}^{+ 0.20}$ $- 0.38_{ - 0.19}^{ + 0.20}$
K_S ……	Absolute Ks-band mag (mag) ……	7.462 ± 0.022
k_S ……	Apparent Ks-band mag (mag) ……	8.764 ± 0.022
A_V ……	V-band extinction (mag) ……	${0.135}_{- 0.100}^{+ 0.21}$ $0.135_{ - 0.100}^{ + 0.21}$
ϖ……	Parallax (mas) ……	54.909 ± 0.020
d ……	Distance (pc) …………	${18.2120}_{- 0.0068}^{+ 0.0067}$ $18.2120_{ - 0.0068}^{ + 0.0067}$
Planetary Parameters:		b
P ……	Period (days) …………	1.94953941 ± 0.00000050
R_P ……	Radius ( R_E ) …………	1.174 ± 0.055
M_P ……	Mass ( M_E) …………	2.27 ± 0.45
T_C ……	Observed Time of conjunction² (BJD_TDB )	${2458786.75416}_{- 0.00023}^{+ 0.00024}$ $2458786.75416_{ - 0.00023}^{ + 0.00024}$
T₀ ……	Obs time of min proj sep^4,6,7 (BJD_TDB) .	2459492.48743 ± 0.00015
a ……	Semi-major axis (AU) ………	0.01872 ± 0.00015
i ……	Inclination (Degrees) ………	${87.69}_{- 0.22}^{+ 0.41}$ $87.69_{ - 0.22}^{ + 0.41}$
e ……	Eccentricity …………	${0.038}_{- 0.033}^{+ 0.16}$ $0.038_{ - 0.033}^{ + 0.16}$
ω_* ……	Arg of periastron (Degrees) ……	${86.2}_{- 130}^{+ 4.5}$ $86.2_{ - 130}^{ + 4.5}$
${\dot{ω}}_{G R} \dots \cdot$ ${\dot \omega _{GR}} \cdots \cdot$	Computed GR precession (°/century)..	${2.478}_{- 0.048}^{+ 0.083}$ $2.478_{ - 0.048}^{ + 0.083}$
T_eq ……	Equilibrium temp⁸ (K) ………	${597.3}_{- 7.0}^{+ 11}$ $597.3_{ - 7.0}^{ + 11}$
τ_circ ……	Tidal circ timescale (Gyr) ……	${9.9}_{- 3.1}^{+ 3.7}$ $9.9_{ - 3.1}^{ + 3.7}$
K ……	RV semi-amplitude (m/s) ……	3.12 ± 0.62
R_P / R_*……	Radius of planet in stellar radii ……	${0.0439}_{- 0.0015}^{+ 0.0010}$ $0.0439_{ - 0.0015}^{ + 0.0010}$
a / R_* ……	Semi-major axis in stellar radii ……	${16.35}_{- 0.52}^{+ 0.55}$ $16.35_{ - 0.52}^{ + 0.55}$
δ ……	(R_p / R_*)² ………	${0.001927}_{- 0.00013}^{+ 0.000092}$ $0.001927_{ - 0.00013}^{ + 0.000092}$
τ ……	In/egress transit duration (days) …..	${0.00211}_{- 0.00064}^{+ 0.00032}$ $0.00211_{ - 0.00064}^{ + 0.00032}$
T₁₄ ……	Total transit duration (days) ……	${0.02972}_{- 0.00052}^{+ 0.00051}$ $0.02972_{ - 0.00052}^{ + 0.00051}$
T_FWHM ……	FWHM transit duration (days) ……	${0.02768}_{- 0.00044}^{+ 0.00048}$ $0.02768_{ - 0.00044}^{ + 0.00048}$
b ……	Transit impact parameter ……	${0.647}_{- 0.20}^{+ 0.054}$ $0.647_{ - 0.20}^{ + 0.054}$
b_S ……	Eclipse impact parameter ……	${0.683}_{- 0.064}^{+ 0.047}$ $0.683_{ - 0.064}^{ + 0.047}$
τ_S ……	In/egress eclipse duration (days) ……	${0.00240}_{- 0.00024}^{+ 0.00036}$ $0.00240_{ - 0.00024}^{ + 0.00036}$
T_S,₁₄ ……	Total eclipse duration (days) ……	${0.03040}_{- 0.00078}^{+ 0.0067}$ $0.03040_{ - 0.00078}^{ + 0.0067}$
T_S,_FWHM …	FWHM eclipse duration (days) ……	${0.02800}_{- 0.00077}^{+ 0.0064}$ $0.02800_{ - 0.00077}^{ + 0.0064}$
ρ_P ……	Density (cgs) ……	${7.7}_{- 1.7}^{+ 2.0}$ $7.7_{ - 1.7}^{ + 2.0}$
loɡɡ_P ….	Surface gravity (cgs) ……	${3.206}_{- 0.10}^{+ 0.090}$ $3.206_{ - 0.10}^{ + 0.090}$
Θ	Safronov Number ……	${0.0111}_{- 0.0022}^{+ 0.0023}$ $0.0111_{ - 0.0022}^{ + 0.0023}$
〈F〉	Incident Flux (10⁹ erg s⁻¹ cm⁻²)….	${0.0285}_{- 0.0015}^{+ 0.0021}$ $0.0285_{ - 0.0015}^{ + 0.0021}$
T_S ……	Observed Time of eclipse² (BJDTDB ). .	${2458785.7832}_{- 0.0047}^{+ 0.0072}$ $2458785.7832_{ - 0.0047}^{ + 0.0072}$
T_E_,0 ……	Obs time of sec min proj sep^4,6,7 (BJD_TDB)	${2460483.8320}_{- 2.0}^{+ 0.0072}$ $2460483.8320_{ - 2.0}^{ + 0.0072}$
T_P……	Time of Periastron (TJD_TDB) ……	${2458786.738}_{- 0.71}^{+ 0.019}$ $2458786.738_{ - 0.71}^{ + 0.019}$
T_A ………	Time of asc node (TJD_TDB ) ……	${2458786.286}_{- 0.021}^{+ 0.10}$ $2458786.286_{ - 0.021}^{ + 0.10}$
T_D ……	Time of desc node (TJDTDB ) ……	${2458787.227}_{^{+ 0.010}}^{+ 0.019}$ $2458787.227_{^{ + 0.010}}^{ + 0.019}$
Vc/Ve ….	Scaled velocity …………	${0.973}_{- 0.15}^{+ 0.031}$ $0.973_{ - 0.15}^{ + 0.031.010}$
e cos ω_*	…………	${0.0032}_{- 0.0037}^{+ 0.0057}$ ${0.0032_{ - 0.0037}^{ + 0.0057}}$
e sin ω_*	…………	${0.027}_{- 0.031}^{+ 0.17}$ ${0.027_{ - 0.031}^{ + 0.17}}$
M_P sin _i	Minimum mass ( M_E) …………	2.27 ± 0.45
M_p / M_*	Mass ratio …………	2.96 ± 0.58 × 10⁻⁵
Wavelength Parameters:		14.98µm	TESS
u₁ . .	Linear limb-darkening coeff ……	–	${0.35}_{- 0.21}^{+ 0.19}$ $0.35_{ - 0.21}^{ + 0.19}$
u₂ . .	Quadratic limb-darkening coeff . . .	–	${0.28}_{- 0.20}^{+ 0.28}$ $0.28_{ - 0.20}^{ + 0.28}$
A_T . .	Thermal emission from the planet (ppm)	$135_{- 68}^{+ 67}$ ${135_{ - 68}^{ + 67}}$	–
δ_S . .	Measured eclipse depth (ppm) ….	$135_{- 68}^{+ 67}$ ${135_{ - 68}^{ + 67}}$	–
Telescope Parameters:		CARMENES	IRD
γ_rel . .	Relative RV Offset (m/s) ………	${0.31}_{- 0.43}^{+ 0.45}$ ${0.31_{ - 0.43}^{ + 0.45}}$	$- {2.0}_{- 1.8}^{+ 1.9}$ ${ - 2.0_{ - 1.8}^{ + 1.9}}$
σ_J . .	RV Jitter (m/s) ………	${1.99}_{- 0.51}^{+ 0.52}$ ${1.99_{ - 0.51}^{ + 0.52}}$	${4.7}_{- 1.8}^{+ 2.2}$ ${4.7_{ - 1.8}^{ + 2.2}}$
$σ_{J}^{2} ..$ $\sigma _J^2..$	RV Jitter Variance ………	${4.0}_{- 1.8}^{+ 2.4}$ ${4.0_{ - 1.8}^{ + 2.4}}$	$21_{- 14}^{+ 26}$ ${21_{ - 14}^{ + 26}}$
Transit Parameters:		JWST UT HS14-78-b. (14.98µm)	TESS UT 2019-11-03 (TESS)
σ² . .	Added Variance ………	${1.50}_{- 0.28}^{+ 0.30} \times 10^{- 7}$ ${1.50_{ - 0.28}^{ + 0.30} \times {{10}^{ - 7}}}$	−8.245 ± 0.051 × 10⁻⁶
F₀..	Baseline flux ………	${0.999772}_{- 0.000053}^{+ 0.000052}$ ${0.999772_{ - 0.000053}^{ + 0.000052}}$	1.0001±0.0030
C₀ . .	Additive detrending coeff ………	$- {0.000323}_{- 0.000054}^{+ 0.000057}$ $- 0.000323_{ - 0.000054}^{ + 0.000057}$	–
		TESS UT 2019-11-28 (TESS)	TESS UT 2020-05-14 (TESS)
σ² . .	Added Variance ………	−1.974 ± 0.048 × 10⁻⁶	−1.182 ± 0.047 × 10⁻⁶
F₀_..	Baseline flux ………	1.000 ± 0.0031	1.0001 ± 0.0024
		TESS UT 2020-06-10 (TESS)	TESS UT 2022-05-19 (TESS)
σ² . .	Added Variance ………	$- {5.252}_{- 0.050}^{+ 0.051} \times 10^{- 6}$ $- 5.252_{ - 0.050}^{ + 0.051} \times {10^{ - 6}}$	2.45±0.43×10⁻⁷
F₀..	Baseline flux ………	1.0000 ± 0.0031	1.0000 ± 0.0029
		TESS UT 2022-06-13 (TESS)	TESS UT 2022-05-19 (TESS)
σ² . .	Added Variance ………	$- {2.06}_{- 0.43}^{+ 0.44} \times 10^{- 7}$ ${ - 2.06_{ - 0.43}^{ + 0.44} \times {{10}^{ - 7}}}$	$- {2.14}_{- 0.44}^{+ 0.45} \times 10^{- 7}$ ${ - 2.14_{ - 0.44}^{ + 0.45} \times {{10}^{ - 7}}}$
F₀..	Baseline flux ………	${0.9999}_{- 0.0030}^{+ 0.0031}$ $0.9999_{ - 0.0030}^{ + 0.0031}$	1.0000 ± 0.0031
		TESS UT 2022-06-13 (TESS)	TESS UT 2022-11-28 (TESS)
σ² . .	Added Variance ………	−2.14 ± 0.44 × 10⁻⁷	$- {2.06}_{- 0.43}^{+ 0.44} \times 10^{- 7}$ ${ - 2.06_{ - 0.43}^{ + 0.44} \times {{10}^{ - 7}}}$
F₀..	Baseline flux ………	1.0000 ± 0.0031	${0.9999}_{- 0.0030}^{+ 0.0031}$ ${0.9999_{ - 0.0030}^{ + 0.0031}}$
		TESS UT 2023-12-07 (TESS)	TESS UT 2024-05-22 (TESS)
σ² . .	Added Variance ………	$- {1.50}_{- 0.48}^{+ 0.49} \times 10^{- 7}$ ${ - 1.50_{ - 0.48}^{ + 0.49} \times {{10}^{ - 7}}}$	−0.5±4.3×10⁻⁸
F₀..	Baseline flux ………	${1.00000}_{- 0.0031}^{+ 0.0032}$ $1.00000_{ - 0.0031}^{ + 0.0032}$	${0.9997}_{- 0.0030}^{+ 0.0033}$ $0.9997_{ - 0.0030}^{ + 0.0033}$

Notes. See Table 3 in Eastman et al. (2019) for a detailed description of all parameters ⁽¹⁾This value ignores the systematic error and is for reference only ⁽²⁾Time of conjunction is commonly reported as the “transit time” ⁽³⁾TJD_TDBis the target’s barycentric frame and corrects for light travel time⁽⁴⁾ Time of minimum projected separation is a more correct “transit time” ⁽⁵⁾Use this to model TTVs, e ⁽⁶⁾At the epoch that minimises the covariance between T_C and Period ⁽⁷⁾Use this to predict future transit times ⁽⁸⁾Assumes no albedo and perfect redistribution

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