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Rubble-Pile Near Earth Objects: Insights from Granular Physics

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Asteroids

Abstract

Most Near Earth Objects (NEOs) are composed of fractured rock, sometimes highly fractured and porous, and they have come to be known as rubble piles (Britt 2001; Fujiwara et al. 2006). The constituent particles, ranging from millimeters up to tens of meters, are weakly held together as an aggregate by a combination of both gravitational and van der Waals forces, which can be of comparable strength (Scheers et al. 2010). Future missions to these rubble NEOs, whether human or robotic, will need to operate in such a way that they can safely and successfully probe a fragile object. Of key importance is the ability to predict and control the circumstances under which the NEO material will remain intact or become unstable during activities such as digging, sample-collection, anchoring, or lift-off.

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References

  • Albert, R., Pfeifer, M.A., Barabási, A., Schiffer, P.: Slow Drag in a Granular Medium. Physical Review Letters 82(1), 205–208 (1999)

    Article  Google Scholar 

  • Asphaug, F., Ostro, S.J., Hudson, R.S.: Disruption of kilometre-sized asteroids by energetic collisions. Nature 393, 437–440 (1998)

    Article  Google Scholar 

  • Azéma, E., Radjaï, F.: Stress-strain behavior and geometrical properties of packings of elongated particles. Physical Review E 81(5), 1–17 (2010)

    Article  Google Scholar 

  • Azéma, E., Radjaï, F.: Force chains and contact network topology in sheared packings of elongated particles. Physical Review E 85(3), 1–12 (2012)

    Article  Google Scholar 

  • Baer, J., Chesley, S.R., Matson, R.D.: Astrometric Masses of 26 Asteroids and Observations on Asteroid Porosity. The Astronomical Journal 141(5), 143 (2011)

    Article  Google Scholar 

  • Baran, O., Kondic, L.: On velocity profiles and stresses in sheared and vibrated granular systems under variable gravity. Physics of Fluids 18(12), 121509 (2006)

    Article  Google Scholar 

  • Bi, D., Zhang, J., Chakraborty, B., Behringer, R.P.: Jamming by shear. Nature 480(7377), 355–358 (2011)

    Article  Google Scholar 

  • Brilliantov, N.V., Pöschel, T.: Kinetic Theory of Granular Gases. Oxford University Press, Oxford (2004)

    Book  MATH  Google Scholar 

  • Britt, D.: Modeling the Structure of High Porosity Asteroids. Icarus 152(1), 134–139 (2001)

    Article  Google Scholar 

  • Campbell, C.S.: Stress-controlled Elastic Granular Shear Flows. Journal of Fluid Mechanics 539, 273–297 (2005)

    Article  MATH  Google Scholar 

  • Cates, M.E., Wittmer, J.P., Bouchaud, J.P., Claudin, P.: Jamming, Force Chains, and Fragile Matter. Physical Review Letters 81, 1841–1844 (1998)

    Article  Google Scholar 

  • Chen, Y.-P., Evesque, P., Hou, M.-Y.: Breakdown of Energy Equipartition in Vibro-Fluidized Granular Media in Micro-Gravity. Chinese Physics Letters 29(7), 074501 (2012)

    Google Scholar 

  • Clark, A., Kondic, L., Behringer, R.: Particle Scale Dynamics in Granular Impact. Physical Review Letters 109(23), 238302 (2012)

    Article  Google Scholar 

  • Costantino, D., Bartell, J., Scheidler, K., Schiffer, P.: Low-velocity granular drag in reduced gravity. Physical Review E 83(1), 2009–2012 (2011)

    Article  Google Scholar 

  • Cundall, P.A., Strack, O.D.L.: Discrete Numerical-model for Granular Assemblies. Geotechnique 29(1), 47–65 (1979)

    Article  Google Scholar 

  • Dagois-Bohy, S., Tighe, B., Simon, J., Henkes, S., van Hecke, M.: Soft-Sphere Packings at Finite Pressure but Unstable to Shear. Physical Review Letters 109(9), 09570 (2012)

    Google Scholar 

  • Daniels, K.E., Coppock, J.E., Behringer, R.P.: Dynamics of meteor impacts. Chaos 14, S4 (2004)

    Google Scholar 

  • Dantu, P.: Contribution l’étude méchanique et géométrique des milieux pulvérulents. In: Proceedings of the Fourth International Conference on Soil Mechanics and Foundation Engineering, London, pp. 144–148 (1957)

    Google Scholar 

  • Donahue, C., Hrenya, C., Davis, R.: Stokes’s Cradle: Newton’s Cradle with Liquid Coating. Physical Review Letters 105(3), 034501 (2010)

    Article  Google Scholar 

  • Edwards, S.F., Oakeshott, R.B.S.: Theory of Powders. Physica A 157, 1080–1090 (1989)

    Article  MathSciNet  Google Scholar 

  • Forterre, Y., Pouliquen, O.: Flows of Dense Granular Media. Annual Review of Fluid Mechanics 40, 1–24 (2008)

    Article  MathSciNet  Google Scholar 

  • Fujiwara, A., Kawaguchi, J., Yeomans, D.K., Abe, M., Mukai, T., Okada, T., Saito, J., Yano, H., Yoshikawa, M., Scheeres, D.J., Barnouin-Jha, O., Cheng, A.F., Demura, H., Gaskell, R.W., Hirata, N., Ikeda, H., Kominato, T., Miyamoto, H., Nakamura, A.M., Nakamura, R., Sasaki, S., Uesugi, K.: The Rubble-Pile Asteroid Itokawa as Observed by Hayabusa. Science 312(5778), 1330–1334 (2006)

    Article  Google Scholar 

  • Geng, J.F., Howell, D., Longhi, E., Behringer, R.P., Reydellet, G., Vanel, L., Clement, E., Luding, S.: Footprints in Sand: The Response of a Granular Material to Local Perturbations. Physical Review Letters 8703, 35506 (2001)

    Article  Google Scholar 

  • Geng, J., Behringer, R.: Slow drag in two-dimensional granular media. Physical Review E 71(1), 011302 (2005)

    Google Scholar 

  • Goldhirsch, I., Zanetti, G.: Clustering instability in dissipative gases. Physical Review Letters 70(11), 1619–1622 (1993)

    Article  Google Scholar 

  • Goldhirsch, I.: Rapid granular flows. Annual Review of Fluid Mechanics 35(1), 267–293 (2003)

    Google Scholar 

  • Gómez, L., Turner, A., van Hecke, M., Vitelli, V.: Shocks near Jamming. Physical Review Letters 108(5), 058001 (2012)

    Google Scholar 

  • Gravish, N., Franklin, S., Hu, D., Goldman, D.: Entangled Granular Media. Physical Review Letters 108(20), 208001 (2012)

    Article  Google Scholar 

  • Harth, K., Kornek, U., Trittel, T., Strachauer, U., Höme, S., Will, K., Stannarius, R.: Granular gases of rod-shaped grains in microgravity. Physical Review Letters 110(14), 144102 (2013)

    Article  Google Scholar 

  • Henkes, S., Shundyak, K., van Saarloos, W., van Hecke, M.: Local contact numbers in two-dimensional packings of frictional disks. Soft Matter 6(13), 2935–2938 (2010)

    Article  Google Scholar 

  • Herminghaus, S.: Dynamics of wet granular matter. Advances in Physics 54(3), 221–261 (2005)

    Article  Google Scholar 

  • Herrmann, H.J., Astrøm, J.A., Mahmoodi Baram, R.: Rotations in shear bands and polydisperse packings. Physica A: Statistical Mechanics and its Applications 344(3-4), 516–522 (2004)

    Article  Google Scholar 

  • Jaeger, H.M., Nagel, S.R., Behringer, R.P.: Granular Solids, Liquids, and Gases. Reviews of Modern Physics 68, 1259–1273 (1996)

    Article  Google Scholar 

  • Johnson, K.L.: Contact Mechanics. Cambridge University Press, Cambridge (1985)

    Book  MATH  Google Scholar 

  • Jop, P., Forterre, Y., Pouliquen, O.: A constitutive law for dense granular flows. Nature 441(7094), 727–730 (2006)

    Article  Google Scholar 

  • Kabla, A.J., Senden, T.J.: Dilatancy in Slow Granular Flows. Physical Review Letters 102(22), 228301 (2009)

    Article  Google Scholar 

  • Kamrin, K., Koval, G.: Nonlocal Constitutive Relation for Steady Granular Flow. Physical Review Letters 108(17), 178301 (2012)

    Article  Google Scholar 

  • KISS, Asteroid Retrieval Feasibility Study. Technical Report, Keck Institute for Space Studies, California Institute of Technology, Jet Propulsion Laboratory (April 2012)

    Google Scholar 

  • Lechenault, F., Daniels, K.E.: Equilibration of granular subsystems. Soft Matter 6(13), 3074 (2010)

    Article  Google Scholar 

  • Leconte, M., Garrabos, Y., Falcon, E., Lecoutre-Chabot, C., Palencia, F., Evesque, P., Beysens, D.: Microgravity experiments on vibrated granular gases in a dilute regime: non-classical statistics. Journal of Statistical Mechanics: Theory and Experiment 2006(07), P07012 (2006)

    Google Scholar 

  • Li, J., A’Hearn, M.F., McFadden, L.A.: Photometric analysis of Eros from NEAR data. Icarus 172(2), 415–431 (2004)

    Article  Google Scholar 

  • Liu, A.J., Nagel, S.R.: Nonlinear dynamics: Jamming is not just cool any more. Nature 396, 21–22 (1998)

    Article  Google Scholar 

  • Liu, A.J., Nagel, S.R.: The Jamming Transition and the Marginally Jammed Solid. Annual Review of Condensed Matter Physics 1(1), 347–369 (2010)

    Article  Google Scholar 

  • Liu, C.H., Nagel, S.R., Schecter, D.A., Coppersmith, S.N., Majumdar, S., Narayan, O., Witten, T.A.: Force Fluctuations in Bead Packs. Science 269(5223), 513–515 (1995)

    Article  Google Scholar 

  • Mailman, M., Schreck, C.F., O’Hern, C.S., Chakraborty, B.: Jamming in Systems Composed of Frictionless Ellipse-Shaped Particles. Physical Review Letters 102(25), 255501 (2009)

    Article  Google Scholar 

  • Majmudar, T.S., Behringer, R.P.: Contact force measurements and stress-induced anisotropy in granular materials. Nature 435(7045), 1079–1082 (2005)

    Article  Google Scholar 

  • Métayer, J.-F., Suntrup III, D.J., Radin, C., Swinney, H.L., Schröter, M.: Shearing of frictional sphere packings. Europhysics Letters 93(6), 64003 (2011)

    Article  Google Scholar 

  • Metzger, P.T., Immer, C.D., Donahue, C.M., Vu, B.T., Latta, R.C., Deyo-Svendsen, M.: Jet-Induced Cratering of a Granular Surface with Application to Lunar Spaceports. Journal of Aerospace Engineering 22(1), 24–32 (2009)

    Article  Google Scholar 

  • Michikami, T., Nakamura, A.M.: Size-frequency statistics of boulders on global surface of asteroid 25143 Itokawa. Earth Planets Space 60, 13–20 (2008)

    Google Scholar 

  • Miyamoto, H., Yano, H., Scheeres, D.J., Abe, S., Barnouin-Jha, O., Cheng, A.F., Demura, H., Gaskell, R.W., Hirata, N., Ishiguro, M., Michikami, T., Nakamura, A.M., Nakamura, R., Saito, J., Sasaki, S.: Regolith migration and sorting on asteroid Itokawa. Science 316(5827), 1011–1014 (2007)

    Article  Google Scholar 

  • Murdoch, N., Rozitis, B., Nordstrom, K., Green, S.F., Michel, P., De Lophem, T., Losert, W.: Granular Convection in Microgravity. Physical Review Letters 110(1), 018307 (2013)

    Google Scholar 

  • Muthuswamy, M., Tordesillas, A.: How do interparticle contact friction, packing density and degree of polydispersity affect force propagation in particulate assemblies? Journal of Statistical Mechanics: Theory and Experiment 9 (2006)

    Google Scholar 

  • Nedderman, R.M.: Statics and Kinematics of Granular Materials. Cambridge University Press, Cambridge (1992)

    Book  Google Scholar 

  • Nowak, S., Samadani, A., Kudrolli, A.: Maximum angle of stability of a wet granular pile. Nature Physics 1(1), 50–52 (2005)

    Article  Google Scholar 

  • Owens, E.T., Daniels, K.E.: Acoustic measurement of a granular density of modes. Soft Matter 9(4), 1214–1219 (2013)

    Article  Google Scholar 

  • O’Hern, C., Silbert, L., Liu, A., Nagel, S.: Jamming at zero temperature and zero applied stress: The epitome of disorder. Physical Review E 68(1), 011306 (2003)

    Article  Google Scholar 

  • Peña, A.A., García-Rojo, R., Herrmann, H.J.: Influence of particle shape on sheared dense granular media. Granular Matter 9(3-4), 279–291 (2007)

    Article  MATH  Google Scholar 

  • Phillips, C., Anderson, J., Huber, G., Glotzer, S.: Optimal Filling of Shapes. Physical Review Letters 108(19), 198304 (2012)

    Article  Google Scholar 

  • Pica Ciamarra, M.P., Lara, A.H., Lee, A.T., Goldman, D.I., Vishik, I., Swinney, H.L.: Dynamics of Drag and Force Distributions for Projectile Impact in a Granular Medium. Physical Review Letters 92(19), 194301 (2004)

    Article  Google Scholar 

  • Pöschel, T., Schwager, T.: Computational Granular Dynamics: Models and Algorithms. Springer, New York (2005)

    Google Scholar 

  • Puckett, J.G., Daniels, K.E.: Equilibrating Temperature-like Variables in Jammed Granular Subsystems. Physical Review Letters 110(5), 058001 (2013)

    Google Scholar 

  • Reynolds, O.: On the dilatancy of media composed of rigid particles in contact. Philosophical Magazine 20, 469 (1885)

    Article  Google Scholar 

  • Richardson, D.C., Walsh, K.J., Murdoch, N., Michel, P.: Numerical simulations of granular dynamics: I. Hard-sphere discrete element method and tests. Icarus 212(1), 427–437 (2011)

    Article  Google Scholar 

  • Richefeu, V., El Youssoufi, M., Radjaï, F.: Shear strength properties of wet granular materials. Physical Review E 73(5), 051304 (2006)

    Article  Google Scholar 

  • Rickman, D., Immer, C., Metzger, P., Dixon, E., Pendleton, M., Edmunson, J.: Particle Shape in Simulants of the Lunar Regolith. Journal of Sedimentary Research 82(11), 823–832 (2012)

    Article  Google Scholar 

  • Ringl, C., Bringa, E.M., Bertoldi, D.S., Urbassek, H.M.: Collisions of Porous Clusters: a Granular-Mechanics Study of Compaction and Fragmentation. The Astrophysical Journal 752(2), 151 (2012)

    Article  Google Scholar 

  • Robinson, M.S., Thomas, P.C., Veverka, J., Murchie, S.L., Wilcox, B.B.: The geology of 433 Eros. Meteoritics & Planetary Science 37(12), 1651–1684 (2002)

    Article  Google Scholar 

  • Saadatfar, M., Sheppard, A.P., Senden, T.J., Kabla, A.J.: Mapping forces in a 3D elastic assembly of grains. Journal of the Mechanics and Physics of Solids 60(1), 55–66 (2012)

    Article  MATH  Google Scholar 

  • Saint-Cyr, B., Szarf, K., Voivret, C., Azéma, E., Richefeu, V., Delenne, J.-Y., Combe, G., Nouguier-Lehon, C., Villard, P., Sornay, P., Chaze, M., Radjaï, F.: Particle shape dependence in 2D granular media. Europhysics Letters 98(4), 44008 (2012)

    Article  Google Scholar 

  • Sánchez, P., Scheeres, D.J.: Simulating Asteroid Rubble Piles With a Self-Gravitating Soft-Sphere Distinct Element Method Model. The Astrophysical Journal 727(2), 120 (2011)

    Article  Google Scholar 

  • Scheeres, D.J., Hartzell, C.M., Sánchez, P., Swift, M.: Scaling forces to asteroid surfaces: The role of cohesion. Icarus 210(2), 968–984 (2010)

    Article  Google Scholar 

  • Schofield, A., Wroth, P.: Critical State Soil Mechanics. McGraw-Hill, New York (1968)

    Google Scholar 

  • Schwartz, S.R., Richardson, D.C., Michel, P.: An implementation of the soft-sphere discrete element method in a high-performance parallel gravity tree-code. Granular Matter 14(3), 363–380 (2012)

    Article  Google Scholar 

  • Somfai, E., Van Hecke, M., Ellenbroek, W.G., Shundyak, K., Van Saarloos, W.: Critical and Noncritical Jamming of Frictional Grains. Physical Review E 75(2), 20301 (2007)

    Article  Google Scholar 

  • Song, C., Wang, P., Makse, H.A.: A phase diagram for jammed matter. Nature 453(7195), 629–632 (2008)

    Article  Google Scholar 

  • Strauch, S., Herminghaus, S.: Wet granular matter: a truly complex fluid. Soft Matter 8, 8271–8280 (2012)

    Article  Google Scholar 

  • Torquato, S., Jiao, Y.: Organizing principles for dense packings of non-spherical hard particles: Not all shapes are created equal. Physical Review E 86(1), 011102 (2012)

    Article  Google Scholar 

  • Trigo-Rodriguez, J.M., Blum, J.: Tensile strength as an indicator of the degree of primitiveness of undifferentiated bodies. Planetary and Space Science 57(2), 243–249 (2009)

    Article  Google Scholar 

  • Tsoungui, O., Vallet, D., Charmet, J.-C., Roux, S.: Partial pressures supported by granulometric classes in polydisperse granular media. Physical Review E 57(4), 4458–4465 (1998)

    Article  Google Scholar 

  • Tsuchiyama, A., Uesugi, M., Matsushima, T., Michikami, T., Kadono, T., Nakamura, T., Uesugi, K., Nakano, T., Sandford, S.A., Noguchi, R., Matsumoto, T., Matsuno, J., Nagano, T., Imai, Y., Takeuchi, A., Suzuki, Y., Ogami, T., Katagiri, J., Ebihara, M., Ireland, T.R., Kitajima, F., Nagao, K., Naraoka, H., Noguchi, T., Okazaki, R., Yurimoto, H., Zolensky, M.E., Mukai, T., Abe, M., Yada, T., Fujimura, A., Yoshikawa, M., Kawaguchi, J.: Three-dimensional structure of Hayabusa samples: origin and evolution of Itokawa regolith. Science 333(6046), 1125–1128 (2011)

    Article  Google Scholar 

  • van Hecke, M.: Jamming of soft particles: geometry, mechanics, scaling and isostaticity. Journal of Physics. Condensed Matter: An Institute of Physics Journal 22(3), 33101 (2010)

    Article  Google Scholar 

  • Vermeer, P.A., Diebels, S., Ehlers, W., Herrmann, H.J., Luding, S., Ramm, E.: Continuous and Discontinuous Modelling of Cohesive-Frictional Materials. Springer, Berlin (2001)

    Book  MATH  Google Scholar 

  • Veverka, J.: NEAR at Eros: Imaging and Spectral Results. Science 289(5487), 2088–2097 (2000)

    Article  Google Scholar 

  • Voivret, C., Radjaï, F., Delenne, J.-Y., El Youssoufi, M.: Multiscale Force Networks in Highly Polydisperse Granular Media. Physical Review Letters 102(17), 2–5 (2009)

    Article  Google Scholar 

  • Wackenhut, M., McNamara, S., Herrmann, H.: Shearing Behavior of Polydisperse Media. European Physical Journal E 17(2), 237–246 (2005)

    Article  Google Scholar 

  • Wendell, D.: Transport in Granular Systems. Phd Thesis, Massachusetts Institute of Technology (2011)

    Google Scholar 

  • Wyart, M.: On the Rigidity of Amorphous Solids. Annales De Physique 30(3), 1–96 (2005)

    Article  Google Scholar 

  • Yano, H., Kubota, T., Miyamoto, H., Okada, T., Scheeres, D., Takagi, Y., Yoshida, K., Abe, M., Abe, S., Barnouin-Jha, O., Fujiwara, A., Hasegawa, S., Hashimoto, T., Ishiguro, M., Kato, M., Kawaguchi, J., Mukai, T., Saito, J., Sasaki, S., Yoshikawa, M.: Touchdown of the Hayabusa spacecraft at the Muses Sea on Itokawa. Science 312(5778), 1350–1353 (2006)

    Article  Google Scholar 

  • Zeravcic, Z., Xu, N., Liu, A.J., Nagel, S.R., van Saarloos, W.: Excitations of ellipsoid packings near jamming. Europhysics Letters 87(2), 26001 (2009)

    Article  Google Scholar 

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    Karen E. Daniels

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  1. , Candida Oancea Institute, Polytechnic University of Bucharest, Spl. Independentei 313, Bucharest, 060042, Romania

    Viorel Badescu

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Daniels, K.E. (2013). Rubble-Pile Near Earth Objects: Insights from Granular Physics. In: Badescu, V. (eds) Asteroids. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-39244-3_11

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