Surface properties of Dione’s trailing hemisphere - Roughness and grain size from Cassini/CIRS data

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Table 4

Results of the fit of blackbody (BB), M_o, M_iH, M_H, and M_q models on spectra in observations of Dione’s trailing hemisphere.

	BB	M_o			M_iH			M_H				M_q
Obs	${\bar{χ}}_{B}^{2}$ $Mathematical equation: $\[\bar{\chi}_B^2\]$$	${\bar{a}}_{o}$ $Mathematical equation: $\[\bar{a}_o\]$$	${\bar{ξ}}_{o}$ $Mathematical equation: $\[\bar{\xi}_o\]$$	${\bar{χ}}_{o}^{2}$ $Mathematical equation: $\[\bar{\chi}_o^2\]$$	${\bar{a}}_{i H}$ $Mathematical equation: $\[\bar{a}_{i H}\]$$	${\bar{\bar{θ}}}_{i H} \pm Δ {\bar{\bar{θ}}}_{i H}$ $Mathematical equation: $\[\overline{\bar{\theta}}_{i H} \pm \Delta \overline{\bar{\theta}}_{i H}\]$$	${\bar{χ}}_{i H}^{2}$ $Mathematical equation: $\[\bar{\chi}_{i H}^2\]$$	${\bar{a}}_{H}$ $Mathematical equation: $\[\bar{a}_H\]$$	${\bar{\bar{θ}}}_{H} \pm Δ {\bar{\bar{θ}}}_{H}$ $Mathematical equation: $\[\overline{\bar{\theta}}_H \pm \Delta \overline{\bar{\theta}}_H\]$$	${\bar{ξ}}_{H}$ $Mathematical equation: $\[\bar{\xi}_H\]$$	${\bar{χ}}_{H}^{2}$ $Mathematical equation: $\[\bar{\chi}_H^2\]$$	${\bar{a}}_{q}$ $Mathematical equation: $\[\bar{a}_q\]$$	${\bar{ξ}}_{q}$ $Mathematical equation: $\[\bar{\xi}_q\]$$	${\bar{χ}}_{q}^{2}$ $Mathematical equation: $\[\bar{\chi}_q^2\]$$
#	min	mm		min	mm	°	min	mm	°		min	mm
1	5.0	≥0.3	${0.1}_{- 0.6}^{+ 0.7}$ $Mathematical equation: $\[0.1_{-0.6}^{+0.7}\]$$	2.38	≥0.4	≤33	2.4	≥0.3	1–40	${0.1}_{- 1.0}^{+ 0.7}$ $Mathematical equation: $\[0.1_{-1.0}^{+0.7}\]$$	2.38	≥0.2	${0.3}_{- 0.7}^{+ 0.6}$ $Mathematical equation: $\[0.3_{-0.7}^{+0.6}\]$$	2.9
4	54.8	$2_{- 0.5}^{+ 1}$ $Mathematical equation: $\[2_{-0.5}^{+1}\]$$	$- {0.9}_{- 0.}^{+ 0.1}$ $Mathematical equation: $\[-0.9_{-0.}^{+0.1}\]$$	16.5	$2_{- 1}^{+ 2}$ $Mathematical equation: $\[2_{-1}^{+2}\]$$	$20_{- 2}^{+ 1}$ $Mathematical equation: $\[20_{-2}^{+1}\]$$	15.9	$2_{- 0.5}^{+ 3}$ $Mathematical equation: $\[2_{-0.5}^{+3}\]$$	$16_{- 3}^{+ 3}$ $Mathematical equation: $\[16_{-3}^{+3}\]$$	$- {0.9}_{- 0.}^{+ 0.5}$ $Mathematical equation: $\[-0.9_{-0.}^{+0.5}\]$$	13.3	$2_{- 2}^{+ 0.5}$ $Mathematical equation: $\[2_{-2}^{+0.5}\]$$	$- {0.9}_{- 0}^{+ 0.4}$ $Mathematical equation: $\[-0.9_{-0}^{+0.4}\]$$	15.1
5	48.3	$2_{- 0.8}^{+ 1}$ $Mathematical equation: $\[2_{-0.8}^{+1}\]$$	$- {0.9}_{- 0.}^{+ 0.1}$ $Mathematical equation: $\[-0.9_{-0.}^{+0.1}\]$$	20.0	$2_{- 1.8}^{+ 47}$ $Mathematical equation: $\[2_{-1.8}^{+47}\]$$	$17_{- 2}^{+ 1}$ $Mathematical equation: $\[17_{-2}^{+1}\]$$	11.0	$3_{- 1.5}^{+ 17}$ $Mathematical equation: $\[3_{-1.5}^{+17}\]$$	$14_{- 2}^{+ 3}$ $Mathematical equation: $\[14_{-2}^{+3}\]$$	$- {0.9}_{- 0.}^{+ 1.1}$ $Mathematical equation: $\[-0.9_{-0.}^{+1.1}\]$$	10.3	$3_{- 1.5}^{+ 6}$ $Mathematical equation: $\[3_{-1.5}^{+6}\]$$	$- {0.8}_{- 0.1}^{+ 0.5}$ $Mathematical equation: $\[-0.8_{-0.1}^{+0.5}\]$$	10.7
6	59.0	${1.5}_{- 0.3}^{+ 0.5}$ $Mathematical equation: $\[1.5_{-0.3}^{+0.5}\]$$	$- {0.5}_{- 0.2}^{+ 0.2}$ $Mathematical equation: $\[-0.5_{-0.2}^{+0.2}\]$$	15.3	${1.2}_{- 0.3}^{+ 0.8}$ $Mathematical equation: $\[1.2_{-0.3}^{+0.8}\]$$	$29_{- 3}^{+ 2}$ $Mathematical equation: $\[29_{-3}^{+2}\]$$	7.9	${1.5}_{- 0.6}^{+ 0.5}$ $Mathematical equation: $\[1.5_{-0.6}^{+0.5}\]$$	$28_{- 4}^{+ 4}$ $Mathematical equation: $\[28_{-4}^{+4}\]$$	$- {0.1}_{- 0.3}^{+ 0.3}$ $Mathematical equation: $\[-0.1_{-0.3}^{+0.3}\]$$	7.9	${0.9}_{- 0.3}^{+ 0.6}$ $Mathematical equation: $\[0.9_{-0.3}^{+0.6}\]$$	${0.4}_{- 0.2}^{+ 0.2}$ $Mathematical equation: $\[0.4_{-0.2}^{+0.2}\]$$	9.9
7	115.7	${1.2}_{- 0.2}^{+ 0.8}$ $Mathematical equation: $\[1.2_{-0.2}^{+0.8}\]$$	$- {0.9}_{- 0}^{+ 0}$ $Mathematical equation: $\[-0.9_{-0}^{+0}\]$$	35.3	${1.5}_{- 0.6}^{+ 0.5}$ $Mathematical equation: $\[1.5_{-0.6}^{+0.5}\]$$	$30_{- 2}^{+ 1}$ $Mathematical equation: $\[30_{-2}^{+1}\]$$	7.6	${1.0}_{- 0.7}^{+ 1.0}$ $Mathematical equation: $\[1.0_{-0.7}^{+1.0}\]$$	$32_{- 5}^{+ 4}$ $Mathematical equation: $\[32_{-5}^{+4}\]$$	${0.4}_{- 0.8}^{+ 0.5}$ $Mathematical equation: $\[0.4_{-0.8}^{+0.5}\]$$	7.3	$2_{- 0.8}^{+ 0.9}$ $Mathematical equation: $\[2_{-0.8}^{+0.9}\]$$	$- {0.9}_{- 0}^{+ 0.3}$ $Mathematical equation: $\[-0.9_{-0}^{+0.3}\]$$	13.6
9	53.7	${1.5}_{- 0.5}^{+ 1.5}$ $Mathematical equation: $\[1.5_{-0.5}^{+1.5}\]$$	$- {0.9}_{- 0}^{+ 0.1}$ $Mathematical equation: $\[-0.9_{-0}^{+0.1}\]$$	28.0	${4.0}_{- 2.0}^{+ 46}$ $Mathematical equation: $\[4.0_{-2.0}^{+46}\]$$	$16_{- 1}^{+ 1}$ $Mathematical equation: $\[16_{-1}^{+1}\]$$	13.0	$5_{- 2}^{+ 45}$ $Mathematical equation: $\[5_{-2}^{+45}\]$$	$15_{- 1}^{+ 1}$ $Mathematical equation: $\[15_{-1}^{+1}\]$$	$- {0.9}_{- 0}^{+ 0.7}$ $Mathematical equation: $\[-0.9_{-0}^{+0.7}\]$$	11.8	$2_{- 0.8}^{+ 2}$ $Mathematical equation: $\[2_{-0.8}^{+2}\]$$	$- {0.9}_{- 0}^{+ 0.1}$ $Mathematical equation: $\[-0.9_{-0}^{+0.1}\]$$	22.1

Notes. ${\bar{χ}}^{2}$ $Mathematical equation: $\[\bar{\chi}^{2}\]$$ refers to its minimum value for each observation (Eq. (6)). The error bars are obtained at 1σ. The results are shown for AmI water ice contaminated with 0.1% Th and AmC, which yields the best results.

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