Sub-millimetre/millimetre extinction of real protoplanetary matter derived from Rosetta/MIRO observations on comet 67P

Johanna Bürger,Bastian Gundlach,Anthony Lethuillier, Thilo Glißmann,Jürgen Blum,Harald Mutschke, Sonja Höfer

crossref(2020)

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摘要
<p><strong>Introduction</strong></p> <p>Optical properties are required information for correct models of the early solar system and protoplanetary disks. To this day the properties used in the models are mostly provided by laboratory studies of primitive analogs. Comets provide us with a closer analog to the protoplanetary material but have been, until recently, difficult to observe. Rosetta has given us the unique opportunity to observe with unprecedented accuracy.</p> <p>The Microwave Instrument for the Rosetta Orbiter (MIRO) (Gulkis et al. 2007) measured the thermal radiation emitted from the subsurface of comet 67P/Churyumov-Gerasimenko (hereafter 67P). MIRO operated at millimetre (hereafter MM) and sub-millimetre (hereafter SMM) wavelengths with corresponding frequencies of 188.2 GHz (1.594 mm) and 562.8 GHz (0.533 mm), respectively.</p> <p>The thermal radiation received by MIRO is strongly dependant on the sub-surface material properties, mainly its temperature and optical constants. Our aim is to derive from these observations the complex refractive index of the material of comet 67P's subsurface. To achieve this, we match the brightness temperatures measured by MIRO with synthetic values derived from a one-dimensional thermal model of the subsurface combined with radiative transfer models.</p> <p><strong>MIRO data selection</strong></p> <p>MIRO data used in this study are taken from the ESA Planetary Science Archive. We selected only those measurements where the orbiter was close to the surface of the nucleus, to minimise the MIRO beam size on the nucleus and, thus, to be able to focus on specific areas of the comet. Additionally, we set our focus on flat areas, which allows us to use a one-dimensional thermal model.</p> <p>Just before equinox in March 2016, the Rosetta orbiter was 11 km from the surface of 67P, observing the relatively flat region Imhotep (Auger et al. 2015). This region is located on the bottom of the big lobe and consists of four sub-regions, a,b,c and d (Thomas et al. 2018). We analysed MIRO measurements in sub-region 'a', as it is the smoothest and closest to the equator (Thomas et al. 2018). Fig. 1 illustrates the location of sub-region 'a' on the nucleus.</p> <p><img src="data:image/png;base64, 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" alt="" /></p> <p>Fig. 2 shows the brightness temperatures MIRO measured in Imhotep's sub-region 'a' in March 2016 plotted against the effective local solar hour on the nucleus of comet 67P. Here, only measurements that are made at distances smaller than 20 km and with low emission angles were selected.</p> <p>For the comparison with synthetic brightness temperatures, we filtered those measurements in sub-region 'a' that were made close to 67P's equator (see white line in Fig. 1) and, thus, experience similar illumination conditions. The three suitable temperature sets we found, two at night and one at day, are highlighted in Fig. 2 with darker colours.</p> <p><img src="data:image/png;base64, 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" alt="" /></p> <p>&#160;</p> <p><strong>Thermophysical simulation</strong></p> <p>The one-dimensional thermal model described in Gundlach et al. 2020 is based on a homogeneous medium and solves the heat transfer equation using the Crank-Nicolson method. We simulated 1000 cometary days, using as input parameters 67P's precise heliocentric distance and the illumination angle of the analysed area on the surface. The last simulated day refers to the day of the selected MIRO measurement. The output of the thermal model is a temperature profile with depth, which serves as input for the raytracing and radiative transfer models.</p> <p>We modelled both, a homogeneous and a inhomogeneous medium (the inhomogeneous medium was built using pebble radii ranging from 3 mm to 6 mm). While for the former only heat conduction is relevant, the latter requires heat transfer by conduction and radiation.&#160;</p> <p><strong>Raytracing</strong></p> <p>The thermal emission of the comet measured by MIRO is modelled by raytracing, applying geometric optics through a three-dimensional structure of spherical pebbles, packed randomly at a volume filling factor of &#8764;0.58, close to a value of 0.55 expected for random loose packing (Onoda and Liniger 1990). Rays are traced backwards, from MIRO down to the comet, where they are reflected or absorbed. The complex refractive index of the pebble material is varied in a range n = 1.0 ... 1.4 for the real part and k = 0.001 ... 0.02 for the imaginary part. For the larger wavelength, the decrease rate of the number of rays with depth in the comet has been compared to attenuation coefficients calculated by waveoptics (FDTD, for pebble radii 3mm to 6mm, n = 1.2, k = 0.001, 0.003) and have been found to be similar. For the smaller wavelength, geometric optics then should be valid as well. The raytracing returns a depth profile e(x) of the starting points of rays contributing to the thermal emission and the directional-hemispherical reflectivity R<sub>dh</sub> from which, after Kirchhoff's law (Hapke 1993), the emissivity of the cometary surface results.</p> <p><strong>Synthetic temperatures</strong></p> <p>The raytracing's emission profile e(x) is convolved with the intensity profile B<sub>&#957;</sub>(T(x)), where B<sub>&#957;</sub> is Planck's function, to get the temperature dependent emission profile. Integration over depth considering reflectivity R<sub>dh</sub> yields the total comet's intensity. The additional reflected 3K cosmic background radiation can be neglected. Thus, the synthetic temperature T<sub>&#957;</sub> is given by:</p> <p>T<sub>v&#160;</sub>= B<sub>v</sub><sup>-1&#160;</sup>( (1 - R<sub>dh</sub>) &#8747; B<sub>v</sub>T(x)e(x) dx )</p> <p><strong>Conclusion</strong></p> <p>By using a one-dimensional thermal model combined with both a raytracing and radiative-transfer model, we were able to derive constraints on the subsurface material properties, namely its optical properties (real and imaginary part of the index of refraction) down to around 10 cm beneath the surface. We will present the models in detail as well as the optical properties we derived from this study. Reliable optical data are important as they provide the community with values of optical constants representative of the early solar system, protoplanetary disks and debris disks.</p> <p><strong>Acknowledgements</strong></p> <p>This study was performed as part of the DFG Research Unit ''Debris Disks in Planetary Systems".&#160;</p> <p><strong>References</strong></p> <p>Auger A., et al., 2015, A&A, 583, A35<br />Gulkis S., et al., 2007, Space Sci. Rev., 128, 561<br />Gundlach B., et al., 2020, MNRAS, 493, 3690<br />Hapke, B., 1993, Cambridge University Press, Chapter 13.D<br />Onoda, G., Liniger, E., 1990, Phys. Rev. Lett., 64, 2727<br />Thomas N., et al., 2018, Planet. Space Sci., 164, 19</p>
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