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A Parametric Study of Io’s Thermophysical Surface Properties and Subsequent Numerical Atmospheric Simulations Based on the Best Fit Parameters ametric Study of Thermophysical Properties After constraining the thermophysical parameters, they were used to generate the solid surface boundary condition in DSMC atmospheric simulations. The atmospheric simulations focused on the effect of eclipse on the atmospheric winds, temperatures, and densities. Results presented span approximately 6 hours of Io’s 42 hour orbit with eclipse occurring near the middle of the simulated time. A parametric study was performed to constrain the thermophysical properties of Io’s surface. The thermal model solves the heat conduction equation including the effects of thermal inertia, latent heats of sublimation and condensation, eclipse by Jupiter, and radiation from Jupiter for two separate surface components: SO 2 frosts and non- frost (likely pyroclastic dusts and/or sulfur allotropes). F Jm -2 K -1 s -1/2 F 100 150 200 250 300 0.5 0.52 0.54 0.56 0.58 0.6 2 5.00 4.67 4.33 4.00 3.67 3.33 3.00 2.67 2.33 2.00 1.67 1.33 1.00 F >0.55 B estFit The resulting SO 2 surface frost temperature distribution was compared to the inferred frost temperatures of Jessup et al. (2004) and the resulting non-frost temperature distribution was compared to Galileo PPR observations (Rathbun et al., 2004). The best fit thermophysical parameters were found to be F ≈ 0.55 and F ≈ 200 J m ‒2 K ‒1 s ‒1/2 for the SO 2 surface frost and NF ≈ 0.49 and NF 20 J m ‒2 K ‒1 s ‒1/2 for the non-frost. Tim e ofDay (degrees) T FROST (K ) 0 30 60 90 120 150 180 210 240 270 300 330 95 100 105 110 115 120 125 130 Rathbunetal.(2004) B estFit Figure 1 – (left) A depiction of the Jovian system including the Jovian plasma torus, Io, and Jupiter’s magnetic field lines (Illustration by John Spencer). (right) An enhanced color image of Io’s surface showing patches of condensed SO 2 frost and ring deposits from volcanic plumes. Figure 2 – (left) 2 (least squared error) as a function of frost albedo, F , and thermal inertia, F . (right) A comparison between observed (Rathbun et al., 2004) and simulated equatorial brightness temperatures. al Atmospheric Simulations of Io in Eclipse Longitude (degrees) Altitude (km ) 0 30 60 90 120 150 180 0 20 40 60 80 100 120 140 160 180 200 D usk Subsolar Point D aw n D ayside Sub-JovianHem isphere 180 270 300 330 240 210 (a)10m inutespriorto ingressinto eclipse Longitude (degrees) Altitude (km ) 0 30 60 90 120 150 180 0 20 40 60 80 100 120 140 160 180 200 D usk Subsolar Point D ayside Sub-JovianHem isphere 180 270 300 330 240 210 D aw n (c)100m inutes afteringressinto eclipse Longitude (degrees) Altitude (km ) 0 30 60 90 120 150 180 0 20 40 60 80 100 120 140 160 180 200 D usk Subsolar Point D aw n D ayside Sub-JovianHem isphere Exobase 180 270 300 330 240 210 (a)10m inutespriorto ingressinto eclipse Longitude (degrees) Altitude (km ) 0 30 60 90 120 150 180 0 20 40 60 80 100 120 140 160 180 200 D usk Subsolar Point D ayside Sub-JovianHem isphere Exobase 180 270 300 330 240 210 D aw n (c)100m inutesafteringressinto eclipse Figure 3 – Contours of number density and translational temperature for a slice through the equator at selected times through eclipse. The SO 2 surface frosts have a high thermal inertia leading to a ~5 K drop in T F during eclipse; however, this corresponds to a factor of 20 decrease in column density due to the exponential dependence of the SO 2 vapor pressure on T F . The thermal model predicts a prograde rotation of the atmosphere during eclipse (as opposed to the retrograde rotation that exists outside of eclipse) due to the differing amounts of insolation absorbed by the surface due to eclipse. Figure 4 – Column density contours with the view centered at (10° N, 350° W) as a function of time. The 20 snapshots occur at intervals of 1250 seconds (~21 minutes) starting approximately 2 hours and 40 minutes prior to eclipse and ending ~2 hours after egress from eclipse. The white dots denotes the location of the subsolar point while the black dots denotes the location of the sub-Jovian point. Loki is the largest hot spot on Io, Fuchi is another large hot spot, and DAE denotes the dawn atmospheric enhancement. Supersonic circumplanetary flow exists prior to eclipse but becomes subsonic during eclipse because the day-to-night pressure gradient weakens considerably as the surface cools and atmosphere condenses. Before eclipse, an oblique shock exists near the dawn terminator where the supersonic flow condenses on and near the cold nightside. During eclipse, the oblique shock disappears as the day- to-night pressure gradient weakens. Figure 5 – Mach number contours overlaid with streamlines with the same view and time interval as Figure 4. REFERENCES: Jessup, K.L., Spencer, J.R., Ballester, G.E., Howell, R.R., Roesler, F., Vigel, M., Yelle, R., 2004. Icarus 169, 197-215. Rathbun, J.A., Spencer, J.R., Tamppari, L.K., Martin, T.Z., Barnard, L., Travis, L.D., 2004. Icarus 169, 127-139. Io is the closest Galilean satellite of Jupiter and the most volcanically active body in the solar system. The relative contributions of sublimation, volcanism, and sputtering to Io’s rarefied atmosphere remain poorly understood. Walker, A.C. , Moore, C.H. § , Goldstein, D.B. , Varghese, P.L. , Trafton, L.M. The University of Texas at Austin, Department of Aerospace Engineering, Department of Astronomy § Sandia National Laboratories

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Walker, A.C. † , Moore, C.H. § , Goldstein, D.B. † , Varghese, P.L. † , Trafton , L.M. ‡ The University of Texas at Austin, † Department of Aerospace Engineering, ‡ Department of Astronomy § Sandia National Laboratories. - PowerPoint PPT Presentation

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Page 1: Parametric Study of Thermophysical Properties

A Parametric Study of Io’s Thermophysical Surface Properties and Subsequent Numerical Atmospheric Simulations Based on the Best Fit Parameters

Parametric Study of Thermophysical Properties

After constraining the thermophysical parameters, they were used to generate the solid surface boundary condition in DSMC atmospheric simulations. The atmospheric simulations focused on the effect of eclipse on the atmospheric winds, temperatures, and densities. Results presented span approximately 6 hours of Io’s 42 hour orbit with eclipse occurring near the middle of the simulated time.

A parametric study was performed to constrain the thermophysical properties of Io’s surface. The thermal model solves the heat conduction equation including the effects of thermal inertia, latent heats of sublimation and condensation, eclipse by Jupiter, and radiation from Jupiter for two separate surface components: SO2 frosts and non-frost (likely pyroclastic dusts and/or sulfur allotropes).

F Jm-2K-1s-1/2

F

100 150 200 250 3000.5

0.52

0.54

0.56

0.58

0.6 2

5.004.674.334.003.673.333.002.672.332.001.671.331.00

F > 0.55Best Fit

The resulting SO2 surface frost temperature distribution was compared to the inferred frost temperatures of Jessup et al. (2004) and the resulting non-frost temperature distribution was compared to Galileo PPR observations (Rathbun et al., 2004). The best fit thermophysical parameters were found to be F ≈ 0.55 and F ≈ 200 J m‒2 K‒1 s‒1/2 for the SO2 surface frost and NF ≈ 0.49 and NF ≈ 20 J m‒2 K‒1 s‒1/2 for the non-frost.

Time of Day (degrees)

T FRO

ST

(K)

0 30 60 90 120 150 180 210 240 270 300 330

95

100

105

110

115

120

125

130

Rathbun et al. (2004)Best Fit

Figure 1 – (left) A depiction of the Jovian system including the Jovian plasma torus, Io, and Jupiter’s magnetic field lines (Illustration by John Spencer). (right) An enhanced color image of Io’s surface showing patches of condensed SO2 frost and ring deposits from volcanic plumes.

Figure 2 – (left) 2 (least squared error) as a function of frost albedo, F, and thermal inertia, F. (right) A comparison between observed (Rathbun et al., 2004) and simulated equatorial brightness temperatures.

Global Atmospheric Simulations of Io in Eclipse

Longitude (degrees)

Alti

tude

(km

)

-180-150-120-90-60-3003060901201501800

20

40

60

80

100

120

140

160

180

200Dusk

SubsolarPoint

Dawn

Dayside

Sub-Jovian Hemisphere

180270300330 240 210

(a) 10 minutes prior to ingress into eclipse

Longitude (degrees)

Alti

tude

(km

)

-180-150-120-90-60-3003060901201501800

20

40

60

80

100

120

140

160

180

200Dusk

SubsolarPoint

Dayside

Sub-Jovian Hemisphere

180270300330 240 210

Dawn(c) 100 minutes after ingress into eclipse

Longitude (degrees)

Alti

tude

(km

)

-180-150-120-90-60-3003060901201501800

20

40

60

80

100

120

140

160

180

200Dusk

SubsolarPoint

Dawn

Dayside

Sub-Jovian Hemisphere

Exobase

180270300330 240 210

(a) 10 minutes prior to ingress into eclipse

Longitude (degrees)

Alti

tude

(km

)

-180-150-120-90-60-3003060901201501800

20

40

60

80

100

120

140

160

180

200Dusk

SubsolarPoint

Dayside

Sub-Jovian Hemisphere

Exobase

180270300330 240 210

Dawn(c) 100 minutes after ingress into eclipse

Figure 3 – Contours of number density and translational temperature for a slice through the equator at selected times through eclipse.

The SO2 surface frosts have a high thermal inertia leading to a ~5 K drop in TF during eclipse; however, this corresponds to a factor of 20 decrease in column density due to the exponential dependence of the SO2 vapor pressure on TF. The thermal model predicts a prograde rotation of the atmosphere during eclipse (as opposed to the retrograde rotation that exists outside of eclipse) due to the differing amounts of insolation absorbed by the surface due to eclipse.

Figure 4 – Column density contours with the view centered at (10° N, 350° W) as a function of time. The 20 snapshots occur at intervals of 1250 seconds (~21 minutes) starting approximately 2 hours and 40 minutes prior to eclipse and ending ~2 hours after egress from eclipse. The white dots denotes the location of the subsolar point while the black dots denotes the location of the sub-Jovian point. Loki is the largest hot spot on Io, Fuchi is another large hot spot, and DAE denotes the dawn atmospheric enhancement.

Supersonic circumplanetary flow exists prior to eclipse but becomes subsonic during eclipse because the day-to-night pressure gradient weakens considerably as the surface cools and atmosphere condenses. Before eclipse, an oblique shock exists near the dawn terminator where the supersonic flow condenses on and near the cold nightside. During eclipse, the oblique shock disappears as the day-to-night pressure gradient weakens.

Figure 5 – Mach number contours overlaid with streamlines with the same view and time interval as Figure 4.

REFERENCES:Jessup, K.L., Spencer, J.R., Ballester, G.E., Howell, R.R., Roesler, F., Vigel, M., Yelle, R., 2004. Icarus 169, 197-215.

Rathbun, J.A., Spencer, J.R., Tamppari, L.K., Martin, T.Z., Barnard, L., Travis, L.D., 2004. Icarus 169, 127-139.

Io is the closest Galilean satellite of Jupiter and the most volcanically active body in the solar system. The relative contributions of sublimation, volcanism, and sputtering to Io’s rarefied atmosphere remain poorly understood.

Walker, A.C. †, Moore, C.H. §, Goldstein, D.B. †, Varghese, P.L. †, Trafton, L.M. ‡

The University of Texas at Austin, †Department of Aerospace Engineering, ‡Department of Astronomy§Sandia National Laboratories