Ricochets on asteroids II: Sensitivity of laboratory experiments of low velocity grazing impacts on substrate grain size

We compare low velocity impacts that ricochet with the same impact velocity and impact angle into granular media with similar bulk density, porosity, and friction coefficient but different mean grain size. The ratio of projectile diameter to mean grain length ranges from 4 in our coarsest medium to...

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Published inIcarus (New York, N.Y. 1962) Vol. 376; p. 114868
Main Authors Wright, Esteban, Quillen, Alice C., Sánchez, Paul, Schwartz, Stephen R., Nakajima, Miki, Askari, Hesam, Miklavcic, Peter
Format Journal Article
LanguageEnglish
Published Elsevier Inc 01.04.2022
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Abstract We compare low velocity impacts that ricochet with the same impact velocity and impact angle into granular media with similar bulk density, porosity, and friction coefficient but different mean grain size. The ratio of projectile diameter to mean grain length ranges from 4 in our coarsest medium to 50 in our finest sand. Using high speed video and fluorescent markers, we measure the ratio of pre- to post-impact horizontal and vertical velocity components, which we refer to as coefficients of restitution, and the angle of deflection caused by the impact in the horizontal plane. Coefficients of restitution are sensitive to mean grain size with the ratio associated with the horizontal velocity component about twice as large for our coarsest gravel as that for our finest sand. This implies that coefficients for hydro-static-like, drag-like and lift-like forces, used in empirical force laws, are sensitive to mean grain size. The coefficient that is most strongly sensitive to grain size is the lift coefficient which decreases by a factor of 3 between our coarsest and finest media. The deflection angles are largest in the coarser media and their size approximately depends on grain size to the 3/2 power. This scaling is matched with a model where momentum transfer takes place via collisions with individual grains. The dependence of impact mechanics on substrate size distribution should be considered in future models for populations of objects that impact granular asteroid surfaces. •Grazing impact trajectories on granular media are sensitive to grain size.•Deflection angles are largest in the coarsest media.•Pre and post impact velocity ratios are modeled with empirical drag and lift forces.•The lift force is more sensitive to grain size than the drag force.•Future models for impacts should be sensitive to the surface’s size distribution.
AbstractList We compare low velocity impacts that ricochet with the same impact velocity and impact angle into granular media with similar bulk density, porosity, and friction coefficient but different mean grain size. The ratio of projectile diameter to mean grain length ranges from 4 in our coarsest medium to 50 in our finest sand. Using high speed video and fluorescent markers, we measure the ratio of pre- to post-impact horizontal and vertical velocity components, which we refer to as coefficients of restitution, and the angle of deflection caused by the impact in the horizontal plane. Coefficients of restitution are sensitive to mean grain size with the ratio associated with the horizontal velocity component about twice as large for our coarsest gravel as that for our finest sand. This implies that coefficients for hydro-static-like, drag-like and lift-like forces, used in empirical force laws, are sensitive to mean grain size. The coefficient that is most strongly sensitive to grain size is the lift coefficient which decreases by a factor of 3 between our coarsest and finest media. The deflection angles are largest in the coarser media and their size approximately depends on grain size to the 3/2 power. This scaling is matched with a model where momentum transfer takes place via collisions with individual grains. The dependence of impact mechanics on substrate size distribution should be considered in future models for populations of objects that impact granular asteroid surfaces. •Grazing impact trajectories on granular media are sensitive to grain size.•Deflection angles are largest in the coarsest media.•Pre and post impact velocity ratios are modeled with empirical drag and lift forces.•The lift force is more sensitive to grain size than the drag force.•Future models for impacts should be sensitive to the surface’s size distribution.
ArticleNumber 114868
Author Sánchez, Paul
Wright, Esteban
Quillen, Alice C.
Askari, Hesam
Schwartz, Stephen R.
Nakajima, Miki
Miklavcic, Peter
Author_xml – sequence: 1
  givenname: Esteban
  orcidid: 0000-0001-7071-2060
  surname: Wright
  fullname: Wright, Esteban
  email: ewrig15@ur.rochester.edu
  organization: Department of Physics and Astronomy, University of Rochester, Rochester, NY 14627, USA
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  givenname: Alice C.
  orcidid: 0000-0003-1280-2054
  surname: Quillen
  fullname: Quillen, Alice C.
  email: alice.quillen@rochester.edu
  organization: Department of Physics and Astronomy, University of Rochester, Rochester, NY 14627, USA
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  givenname: Paul
  orcidid: 0000-0003-3610-5480
  surname: Sánchez
  fullname: Sánchez, Paul
  email: diego.sanchez-lana@colorado.edu
  organization: Colorado Center for Astrodynamics Research, The University of Colorado Boulder, UCB 431, Boulder, CO 80309-0431, USA
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  givenname: Stephen R.
  orcidid: 0000-0001-5475-9379
  surname: Schwartz
  fullname: Schwartz, Stephen R.
  email: srs51@arizona.edu
  organization: Lunar and Planetary Lab, University of Arizona, Tucson, AZ, USA
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  givenname: Miki
  orcidid: 0000-0001-5014-0448
  surname: Nakajima
  fullname: Nakajima, Miki
  email: mnakajima@rochester.edu
  organization: Department of Physics and Astronomy, University of Rochester, Rochester, NY 14627, USA
– sequence: 6
  givenname: Hesam
  orcidid: 0000-0001-5562-1363
  surname: Askari
  fullname: Askari, Hesam
  email: askari@rochester.edu
  organization: Department of Mechanical Engineering, University of Rochester, Rochester, NY 14627, USA
– sequence: 7
  givenname: Peter
  surname: Miklavcic
  fullname: Miklavcic, Peter
  email: pmiklavc@ur.rochester.edu
  organization: Department of Mechanical Engineering, University of Rochester, Rochester, NY 14627, USA
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Keywords Impact processes
Asteroids, surfaces
Impacts, oblique angle
Impacts, low velocity
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Snippet We compare low velocity impacts that ricochet with the same impact velocity and impact angle into granular media with similar bulk density, porosity, and...
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elsevier
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StartPage 114868
SubjectTerms Asteroids, surfaces
Impact processes
Impacts, low velocity
Impacts, oblique angle
Title Ricochets on asteroids II: Sensitivity of laboratory experiments of low velocity grazing impacts on substrate grain size
URI https://dx.doi.org/10.1016/j.icarus.2021.114868
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