JOURNAL OF GEOPHYSICAL RESEARCH, VOL. 117, E08014, doi:10.1029/2011JE004040, 2012
Carbon dioxide snow clouds on Mars: South polar winter observations by the Mars Climate Sounder Paul O. Hayne,1,2 David A. Paige,2 John T. Schofield,3 David M. Kass,3 Armin Kleinböhl,3 Nicholas G. Heavens,4 and Daniel J. McCleese3 Received 16 December 2011; revised 7 May 2012; accepted 11 July 2012; published 29 August 2012.
 We present south polar winter infrared observations from the Mars Climate Sounder (MCS) and test three hypotheses concerning the origins of “cold spots”: regions of anomalously low infrared brightness temperatures, which could be due to enrichment in non-condensable gases, low-emissivity surface frost, or optically thick CO2 clouds. Clouds and surface frosts have been historically difficult to distinguish, but the unique limb sounding capability of MCS reveals extensive tropospheric CO2 clouds over the cold spots. We find that both clouds and surface deposits play a significant role in lowering the infrared emissivity of the seasonal ice cap, and the granular surface deposits are likely emplaced by snowfall. Surface temperatures indicate the polar winter atmosphere is enriched by a factor 5–7 in non-condensable gases relative to the annual average, consistent with earlier gamma ray spectrometer observations, but not enough to account for the low brightness temperatures. A large 500-km diameter cloud with visible optical depth 0.1–1.0 persists throughout winter over the south polar residual cap (SPRC). At latitudes 70–80 S, clouds and low emission regions are smaller and shorter-lived, probably corresponding to large-grained “channel 1” clouds observed by the Mars Orbiter Laser Altimeter. Snowfall over the SPRC imparts the lowest emissivity in the south polar region, which paradoxically tends to reduce net accumulation of seasonal CO2 by backscattering infrared radiation. This could be compensated by the observed anomalously high summertime albedo of the SPRC, which may be related to small grains preserved in a rapidly formed snow deposit. Citation: Hayne, P. O., D. A. Paige, J. T. Schofield, D. M. Kass, A. Kleinböhl, N. G. Heavens, and D. J. McCleese (2012), Carbon dioxide snow clouds on Mars: South polar winter observations by the Mars Climate Sounder, J. Geophys. Res., 117, E08014, doi:10.1029/2011JE004040.
1. Introduction  One of the more prominent features of the Martian climate is the seasonal exchange of carbon dioxide between the atmosphere and surface. During winter, a substantial portion of the atmosphere freezes out, forming the seasonal ice caps and reducing surface pressures globally. Summertime sublimation replenishes atmospheric CO2 as the seasonal cap recedes toward the pole, with a perennial carbon dioxide deposit persisting only in the southern hemisphere 1 Division of Geological and Planetary Sciences, California Institute of Technology, Pasadena, California, USA. 2 Earth and Space Sciences Department, University of California, Los Angeles, California, USA. 3 NASA Jet Propulsion Laboratory, California Institute of Technology, Pasadena, California, USA. 4 Earth and Atmospheric Sciences, Cornell University, Ithaca, New York, USA.
Corresponding author: P. O. Hayne, Division of Geological and Planetary Sciences, California Institute of Technology, Pasadena, CA 91125 ([email protected]
) ©2012. American Geophysical Union. All Rights Reserved. 0148-0227/12/2011JE004040
[Kieffer, 1979]. Pressure variations measured by the Viking landers in the 1970s confirmed that as much as 30% of the atmosphere participates in this annual CO2 cycle [James et al., 1992]. The existence of this cycle and its effect on atmospheric pressures had been predicted by Leighton and Murray  on the basis of a polar energy balance model. The success of their model proved that atmospheric pressure on Mars is largely controlled by the polar energy balance on seasonal and annual time scales. During summer, insolation is balanced against infrared emission and the latent heat of subliming CO2, as well as conductive heat exchange with the subsurface. Winter on Mars brings “polar night” to latitudes poleward of roughly 65 , when the sun remains continuously below the horizon for one or more days. During this period, the atmosphere and surface cool by infrared emission to space until atmospheric carbon dioxide begins to condense, at which point further cooling is buffered by the release of latent heat. Advective transport of heat into the polar regions is inefficient due to the low density of the Martian atmosphere. Leighton and Murray noted that to first order, the amount of carbon dioxide condensing during polar night can therefore be estimated from the net outgoing infrared flux, which should be approximately equal to the
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blackbody emission of a 145 K solid CO2 cap in vapor pressure equilibrium with the atmosphere.  Despite the initial success of Leighton and Murray’s energy balance approach, no model has yet succeeded in predicting both the seasonal pressure cycle and the existence of the perennial CO2 cap near the south pole. Part of the problem may be that the polar caps exhibit infrared emission far from the expected blackbody behavior; regions of very low thermal emission in the polar night have been observed from orbit since the Viking era [Kieffer et al., 1976]. Within these widespread low emission regions (a.k.a. “cold spots”), 20-mm brightness temperatures are up to 30 K below the expected frost point temperature [Titus et al., 2001]. Such large reductions in infrared emission have a measurable influence on seasonal and interannual pressure variations on Mars by altering the polar energy balance [Paige and Ingersoll, 1985], but the cause of this phenomenon is not well understood. Three primary hypotheses were proposed by Kieffer et al. [1976, 1977] to explain the low emission regions:  1. Depletion of CO2 relative to non-condensing gases (mostly N2 and Ar) lowers the equilibrium temperature of the ice cap.  2. Carbon dioxide ice clouds backscatter infrared radiation emitted by the surface.  3. Surface frosts on the seasonal ice caps have intrinsically low infrared emissivity.  While all three explanations are generally consistent with existing observations, fine-grained surface frost and CO2 clouds are considered to be most likely, because dynamical instability prevents local depletion of CO2 gas to the extent required to lower the frost point more than a few degrees [Hess, 1979; Weiss and Ingersoll, 2000]. Nadir-looking infrared observations of low emission regions by the Mariner and Voyager spacecraft seem to be equally consistent with scattering by optically thick CO2 clouds or fine-grained (87 where most nadir-looking instruments have data gores. Identifying each measurement with a spatial bin involves calculating intersection points for “on-planet” views, and tangent points for “off-planet” views, from the more primitive spacecraft geometry and MCS look angles. At a typical spacecraft altitude over the south polar region of 250 km, the full-width at half-max (FWHM) of the detector field of view response (3.6 6.2 mrad) projects onto a surface element with dimensions 1.0 1.5 km. For off-nadir measurements, the FOV surface projection grows, as do errors due to topography. Restricting the emission angle q < 70 , the typical south polar RMS topographic relief of Dh 1 km on a 4 km length scale (derived from the MOLA 16 pixel-perdegree grid [Smith et al., 2001]), introduces horizontal errors Dh tanq < 2.5 km; by comparison, the FOV projection is T22) indicating smaller grains [cf. Hansen, 1999]. Figure 4 shows the typical mid-southern winter thermal emission measured by MCS, illustrating the abundance and complex distribution of low emission regions. Over the great majority of the polar winter CO2 caps, T12– T22 < 2 K, indicating that slab ice may dominate the seasonal cap by area, especially at latitudes 10 K throughout the winter, with maximum differences 25 K. The SPRC represents the apex of a larger, spatially coherent temperature structure poleward of 80 S with consistently low brightness temperatures and high spectral contrast. Smaller isolated low emission regions exhibit less coherence and greater timevariability, especially in the zone 70–80 S. Most of the
spatial structures apparent in Figure 4 are regions of frequent low emission behavior throughout the study period, and we observe that many are at least qualitatively correlated with topographic slopes [cf. Cornwall and Titus, 2009, 2010]. Some regions known to exhibit high springtime albedo, notably the “Mountains of Mitchel” (320 W, 75 S) are also observed to have higher than average low-emission activity.  The departure of measured south polar radiances from blackbody emission is illustrated by Figure 5. Seasonal mean spectral contrast increases nearly monotonically from 60 S toward the pole, consistent with decreasing frost grain size and/or increasing cloudiness. We calculated CO2 frost point temperatures from latitude-binned MOLA topography with a reference pressure of 520 mb and a scale height of 7.1 km, typical of south polar winter, using CO2 frost point data from Brown and Ziegler . For the measured atmospheric temperature variability in this season [McCleese et al., 2008], the uncertainty in the scale height is 0 downward. For a ray with a tangent point in layer j, the emergent intensity (A22) is then approximately Zsj Ij ¼
v′ 0 C1 ektz ð1 g ′ m′ PÞ þ v′ 0 C2 eþktz ð1 þ g ′ m′ PÞ
þ B eb ads:
Since the total optical depth b is itself an integral function that depends on the opacity profile and the viewing geometry, an analytical solution to (A22) cannot be determined a priori, so numerical integration is necessary. For an N-layer atmosphere,
dt z ds; ads ¼ ðkrÞds ¼ dz
Zsi bi ¼
ads ≈ stop
j¼i X j¼1
Dt zj =m′ j ¼
Dt j ;
where Dt zj is the normal optical thickness of layer j (with j = 1 the topmost layer), Dt j is the layer’s line-of-sight
J ðþm′ Þeð2bðsj ÞbðsÞÞ ads ð0 ≤ m′ ≤1Þ
total optical depth between two points along the raypath. The viewing geometry is illustrated in Figure A1. Inserting the source function (A17) into (A21) yields
I ðsÞ ¼
J ðm′ ÞebðsÞ ads þ
j X i¼1
Ji ðm′ i Þebi Dt i þ
Ji ðþm′ i Þeð2bj bi Þ Dt i
where J(t z, m′, g′, C1, C2, …) is the source function (in brackets in (A22)), and each of the layer-specific parameters is evaluated at the current layer. The first term in (A25) represents the integration upward (m′ < 0) from the lowest layer intersected by the chord, up to the top of the atmosphere. The second term in (A25) is the integral through the same layers, but this time downward (m′ > 0) from the top of the atmosphere along the farther half of the chord. A4.
Model Validation and Error Estimation
 A plane-parallel version of the d-Eddington model described in this appendix has been tested extensively against more exact models validated for Mars polar winter conditions [Paige, 1985]. The full spherical-geometry version of the model was also extensively tested against models developed by the Mars Climate Sounder team for retrieval of water ice and dust opacity [Kleinböhl et al., 2011; Benson et al., 2010; Heavens et al., 2011], and more rigorous multiple-scattering codes [Irwin et al., 2008]. In Figure A2, we present two of these test cases: 1) a midlatitude summer temperature profile and homogeneous dust loading and a total normal optical depth of 0.027 in the A5 (22 mm) channel (case ‘T1 + D1’), and 2) a polar winter temperature
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Figure A2. Comparisons between the d-Eddington (‘dedd’, thick lines in Figure A2, left) model presented in Appendix A, and the single-scattering model (‘ssa’, thin solid lines) of Kleinböhl et al. . (left) The modeled radiances and (right) the relative differences (percent) between the two models for the (top) ‘T1 + D1’ case and (bottom) ‘T2 + H4’ case, as described in the text.
profile with constant water ice opacity below 20 km (rapidly decreasing to zero at higher altitudes), with total A4 (12 mm) optical depth of 0.10 (case ‘T2 + H4’). Discrepancies between the d-Eddington model and the single-scattering model are quite small at all altitudes, well within the variance among the 4–10 radiance profiles typically averaged before performing each opacity retrieval. Typical errors in total normal optical depth associated with this spatial and temporal averaging are estimated to be 0.01–0.1, depending on the channel and homogeneity of the cloud (see Table 2).  Acknowledgments. We thank Oded Aharonson, James H. Shirley, and Jennifer L. Benson for useful discussions and advice during the preparation of this manuscript. P.O.H. wishes to acknowledge the invaluable support and criticism of the members of his dissertation committee at UCLA: David A. Paige, Gerald Schubert, K. N. Liou, and Christopher Russell. Part of this research was carried out at the Jet Propulsion Laboratory, California Institute of Technology, under a contract with the National Aeronautics and Space Administration.
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