Disentangling auroral-, cloud-, and magnetic spot-driven variability in three early L dwarfs with HST/WFC3

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Table 4

Best-fit parameters for the cloud and magnetic spot models for each brown dwarf.

Object	Retrieved γ	Model γ	Retrieved k₀	Model k₀	Δ A (%)	χ²/ν	ΔT (K)	ΔA (%)	χ²/ν
2M1721+33	$- {4.23}_{- 0.20}^{+ 0.15}$ $Mathematical equation: $-4.23^{+0.15}_{-0.20}$$	$- {4.11}_{- 0.09}^{+ 0.07}$ $Mathematical equation: $-4.11^{+0.07}_{-0.09}$$	${2.42}_{- 0.43}^{+ 0.75}$ $Mathematical equation: $2.42^{+0.75}_{-0.43}$$	${1.61}_{- 0.19}^{+ 0.14}$ $Mathematical equation: $1.61^{+0.14}_{-0.19}$$	${15.50}_{- 6.81}^{+ 9.48}$ $Mathematical equation: $15.50^{+9.48}_{-6.81}$$	0.90	−200	${2.89}_{- 0.08}^{+ 0.07}$ $Mathematical equation: $2.89^{+0.07}_{-0.08}$$	0.81
2M0036+18 (epoch 1)	$- {4.02}_{- 0.02}^{+ 0.01}$ $Mathematical equation: $-4.02^{+0.01}_{-0.02}$$	$- {4.00}_{- 0.03}^{+ 0.02}$ $Mathematical equation: $-4.00^{+0.02}_{-0.03}$$	${2.01}_{- 0.03}^{+ 0.04}$ $Mathematical equation: $2.01^{+0.04}_{-0.03}$$	${1.46}_{- 0.04}^{+ 0.04}$ $Mathematical equation: $1.46^{+0.04}_{-0.04}$$	${12.95}_{- 0.27}^{+ 0.20}$ $Mathematical equation: $12.95^{+0.20}_{-0.27}$$	4.93	−200	${2.95}_{- 0.03}^{+ 0.02}$ $Mathematical equation: $2.95^{+0.02}_{-0.03}$$	3.36
2M0036+18 (epoch 2)	$- {4.04}_{- 0.02}^{+ 0.02}$ $Mathematical equation: $-4.04^{+0.02}_{-0.02}$$	$- {3.87}_{- 0.06}^{+ 0.04}$ $Mathematical equation: $-3.87^{+0.04}_{-0.06}$$	${2.02}_{- 0.04}^{+ 0.04}$ $Mathematical equation: $2.02^{+0.04}_{-0.04}$$	${1.04}_{- 0.10}^{+ 0.06}$ $Mathematical equation: $1.04^{+0.06}_{-0.10}$$	${10.15}_{- 2.65}^{+ 0.47}$ $Mathematical equation: $10.15^{+0.47}_{-2.65}$$	5.84	−200	${3.25}_{- 0.03}^{+ 0.03}$ $Mathematical equation: $3.25^{+0.03}_{-0.03}$$	4.68
2M1906+40	$- {4.01}_{- 0.02}^{+ 0.01}$ $Mathematical equation: $-4.01^{+0.01}_{-0.02}$$	$- {3.03}_{- 0.03}^{+ 0.03}$ $Mathematical equation: $-3.03^{+0.03}_{-0.03}$$	${5.62}_{- 0.49}^{+ 0.68}$ $Mathematical equation: $5.62^{+0.68}_{-0.49}$$	${5.65}_{- 0.22}^{+ 0.20}$ $Mathematical equation: $5.65^{+0.20}_{-0.22}$$	${2.10}_{- 0.06}^{+ 0.05}$ $Mathematical equation: $2.10^{+0.05}_{-0.06}$$	0.64	−300	${1.46}_{- 0.04}^{+ 0.04}$ $Mathematical equation: $1.46^{+0.04}_{-0.04}$$	0.72

Notes. k₀ is the opacity of the clouds at 350nm and γ is the power-law exponent of the clouds. ∆A is the coverage fraction between the bulk atmosphere and the perturbed atmosphere (due to clouds or magnetic spots).

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