Quantitative analysis of isolated boulder fields on comet 67P/Churyumov-Gerasimenko

Aims. We provide a detailed quantitative analysis of isolated boulder fields situated in three different regions of comet 67P/Churyumov-Gerasimenko: Imhotep, Hapi, and Hatmehit. This is done to supply a useful method for analyzing the morphology of the boulders and to characterize the regions themselves. Methods. We used OSIRIS Narrow Angle Camera images with a spatial scale smaller than 2 m px−1 and analyzed the size-frequency distribution and the cumulative fractional area per boulder population. In addition, we correlated shape parameters, such as circularity and solidity, with both the spatial and the size-frequency distribution of the three populations. Results. We identified 11 811 boulders in the Imhotep, Hapi, and Hatmehit regions. We found that the Hatmehit and Imhotep areas show power indices in the range of −2.3/−2.7. These values could represent a transition between gravitational events caused by thermal weathering and sublimation, and material formed during collapses that has undergone sublimation. The Hapi area is characterized by a lower power index (−1.2/−1.7), suggesting that those boulders have a different origin. They can be the result of material formed during gravitational events and collapses that has undergone continuous fragmentation. We calculated the cumulative fractional area (CFA) in order to investigate how the area is covered by boulders as a function of their sizes. The Hatmehit and Imhotep regions show a CFA that is well fit by a power law. In contrast, the Hapi area does not show the same trend. We analyzed the fractal distributions, finding that the populations seem to be fractal at all dimensions, except for the Hapi distribution, which shows a possible fractal behavior for small dimensions only. Finally, the average values of the shape parameters reveal solid and roundish boulders in all populations we studied.

[1]  Heping Xie,et al.  Fractals in Rock Mechanics , 2020 .

[2]  S. Debei,et al.  Multidisciplinary analysis of the Hapi region located on Comet 67P/Churyumov–Gerasimenko , 2019, Monthly Notices of the Royal Astronomical Society.

[3]  M. Belton,et al.  On the origin of internal layers in comet nuclei , 2018, Icarus.

[4]  K. Kossacki,et al.  Comet 67p/Churyumov–Gerasimenko, possible origin of the depression Hatmehit , 2018 .

[5]  S. Debei,et al.  The global meter-level shape model of comet 67P/Churyumov-Gerasimenko , 2017 .

[6]  Jiang Zhang,et al.  Rock size-frequency distributions analysis at lunar landing sites based on remote sensing and in-situ imagery , 2017 .

[7]  S. Debei,et al.  Seasonal erosion and restoration of the dust cover on comet 67P/Churyumov-Gerasimenko as observed by OSIRIS onboard Rosetta , 2017 .

[8]  S. Debei,et al.  A three-dimensional modelling of the layered structure of comet 67P/Churyumov-Gerasimenko , 2017 .

[9]  S. Debei,et al.  The pebbles/boulders size distributions on Sais: Rosetta’s final landing site on comet 67P/Churyumov–Gerasimenko , 2017 .

[10]  S. Debei,et al.  Seasonal mass transfer on the nucleus of comet 67P/Chuyumov–Gerasimenko , 2017, 1707.06812.

[11]  S. Debei,et al.  Constraints on cometary surface evolution derived from a statistical analysis of 67P’s topography , 2017, 1707.00734.

[12]  S. Debei,et al.  Surface changes on comet 67P/Churyumov-Gerasimenko suggest a more active past , 2017, Science.

[13]  S. Debei,et al.  The pristine interior of comet 67P revealed by the combined Aswan outburst and cliff collapse , 2017, Nature Astronomy.

[14]  S. Debei,et al.  Are fractured cliffs the source of cometary dust jets ? insights from OSIRIS/Rosetta at 67P/Churyumov-Gerasimenko , 2015, 1512.03193.

[15]  S. Debei,et al.  Size-frequency distribution of boulders ≥7 m on comet 67P/Churyumov-Gerasimenko , 2015 .

[16]  S. Debei,et al.  Geomorphology of the Imhotep region on comet 67P/Churyumov-Gerasimenko from OSIRIS observations , 2015 .

[17]  S. Debei,et al.  Rosetta mission results pre-perihelion Special feature Regional surface morphology of comet 67 P / Churyumov-Gerasimenko from Rosetta / OSIRIS images ? , 2015 .

[18]  S. Debei,et al.  Insolation, erosion, and morphology of comet 67P/Churyumov-Gerasimenko , 2015 .

[19]  S. Debei,et al.  Two independent and primitive envelopes of the bilobate nucleus of comet 67P , 2015, Nature.

[20]  R. D. Hryciw,et al.  Traditional soil particle sphericity, roundness and surface roughness by computational geometry , 2015 .

[21]  S. Debei,et al.  Large heterogeneities in comet 67P as revealed by active pits from sinkhole collapse , 2015, Nature.

[22]  J. Pennec,et al.  Towards fast and routine analyses of volcanic ash morphometry for eruption surveillance applications , 2015 .

[23]  S. Debei,et al.  The morphological diversity of comet 67P/Churyumov-Gerasimenko , 2015, Science.

[24]  Kevin W Eliceiri,et al.  NIH Image to ImageJ: 25 years of image analysis , 2012, Nature Methods.

[25]  B. Ehlmann,et al.  Quantitative morphologic analysis of boulder shape and surface texture to infer environmental history: A case study of rock breakdown at the Ephrata Fan, Channeled Scabland, Washington , 2008 .

[26]  A. Haldemann,et al.  Quantitative morphology of rocks at the Mars Pathfinder landing site , 2007 .

[27]  K. Glassmeier,et al.  The Rosetta Mission: Flying Towards the Origin of the Solar System , 2007 .

[28]  S. Debei,et al.  OSIRIS – The Scientific Camera System Onboard Rosetta , 2007 .

[29]  A. F. C. Haldemann,et al.  Rock size-frequency distributions on Mars and implications for Mars Exploration Rover landing safety and operations : Mars exploration rover mission and landing sites , 2003 .

[30]  H. Viles Scale issues in weathering studies , 2001 .

[31]  G. Campbell,et al.  Characterization of Particle-Size Distribution in Soils with a Fragmentation Model , 1999 .

[32]  E. Perfect,et al.  Fractal models for the fragmentation of rocks and soils: a review , 1997 .

[33]  M. Golombek,et al.  Size‐frequency distributions of rocks on Mars and Earth analog sites: Implications for future landed missions , 1997 .

[34]  W. B. Marks,et al.  A fractal analysis of cell images , 1989, Journal of Neuroscience Methods.

[35]  Donald L. Turcotte,et al.  Fractals and fragmentation , 1986 .

[36]  Hayakawa,et al.  Fractal structure and cluster statistics of zinc-metal trees de- posited on a line electrode. , 1985, Physical review. A, General physics.

[37]  Benoit B. Mandelbrot,et al.  Fractal Geometry of Nature , 1984 .

[38]  M. Kirkby The fractal geometry of nature. Benoit B. Mandelbrot. W. H. Freeman and co., San Francisco, 1982. No. of pages: 460. Price: £22.75 (hardback) , 1983 .

[39]  J. Head,et al.  Characterization of rock populations on planetary surfaces: Techniques and a preliminary analysis of Mars and Venus , 1981 .

[40]  H. Wadell,et al.  Sphericity and Roundness of Rock Particles , 1933, The Journal of Geology.

[41]  H. Nyquist,et al.  Certain Topics in Telegraph Transmission Theory , 1928, Transactions of the American Institute of Electrical Engineers.