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The interactive dynamics of a binary asteroid and ejecta after medium kinetic impact

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Abstract

Kinetic impacts on a binary asteroid will produce ejecta debris as well as causing a disturbance to the spin-orbit motion of the binary components. Understanding the complex interactions between the ejecta and the binary system can be crucial to both theoretical study and mission design. In this paper, we develop a detailed model for the dynamical evolution of ejecta within a binary asteroid system, in which we combined various perturbations on the ejecta and considered the collisional process with the asteroid. Taking an example scenario like the DART impact, we calculated the fate of ejecta from size 0.01 mm to 10 m and analyzed the distribution of their final deposition locations. The results show that ejecta with diameter less than 0.1 mm escape quickly under the influence of solar radiation pressure, while ejecta of larger size survive longer, i.e., a few cycles in the binary system for more than 400 days. We analyzed the influence of the coefficient of restitution between ejecta and asteroid, and found more damped collisions would allow the ejecta to survive longer in orbit. We also studied the effect of the tumbling rotation of the secondary on the distribution of ejecta on the surface of the secondary, the results suggest that a tumbling rotational state causes obvious changes in Dimorphos’ surface slope, which, however, are not sufficient for triggering surface landslides. In addition, the influence of the internal structure of the primary on the evolution of the ejecta is studied, and we show it has little effect on the evolution of the ejecta but does affect the distribution of ejecta on the surface of the primary. This is due to the change of the distribution of relative acceleration on the surface of the primary, which changes the regions where the ejecta can remain.

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The results/data/figures in this manuscript have not been published elsewhere, nor are they under consideration by another publisher. Our dynamic models and data are free to use. If you want to use it, please contact the author by email and explain the purpose.

Notes

  1. https://github.com/BuaaGyf/Evolution-of-Ejecta.git.

References

  • Agrusa, H.F., Gkolias, I., Tsiganis, K., et al.: The excited spin state of Dimorphos resulting from the dart impact. Icarus 370, 114,624 (2021)

    Article  Google Scholar 

  • Agrusa, H., Richardson, D., Barbee, B., et al.: Predictions for the dynamical state of the Didymos system before and after the planned dart impact. LPI Contrib. 2678, 2447 (2022)

    ADS  Google Scholar 

  • Benner, L.A., Margot, J., Nolan, M., et al.: Radar imaging and a physical model of binary asteroid 65803 Didymos. In: AAS/Division for Planetary Sciences Meeting Abstracts# 42, pp. 13–17 (2010)

    Google Scholar 

  • Burns, J.A., Lamy, P.L., Soter, S.: Radiation forces on small particles in the solar system. Icarus 40(1), 1–48 (1979)

    Article  ADS  Google Scholar 

  • Cercignani, C., Lampis, M.: Kinetic models for gas-surface interactions. Transp. Theory Stat. Phys. 1(2), 101–114 (1971)

    Article  ADS  MathSciNet  Google Scholar 

  • Cheng, A., Michel, P., Jutzi, M., et al.: Asteroid impact & deflection assessment mission: kinetic impactor. Planet. Space Sci. 121, 27–35 (2016)

    Article  ADS  Google Scholar 

  • Cheng, A.F., Rivkin, A.S., Michel, P., et al.: Aida dart asteroid deflection test: Planetary defense and science objectives. Planet. Space Sci. 157, 104–115 (2018)

    Article  ADS  Google Scholar 

  • Gao, Y., Yu, Y., Cheng, B., et al.: Accelerating the finite element method for calculating the full 2-body problem with cuda. Adv. Space Res. 69(5), 2305–2318 (2022)

    Article  ADS  Google Scholar 

  • Holsapple, K.A., Housen, K.R.: Momentum transfer in asteroid impacts. i. theory and scaling. Icarus 221(2), 875–887 (2012)

    Article  ADS  Google Scholar 

  • Housen, K.R., Holsapple, K.A.: Ejecta from impact craters. Icarus 211(1), 856–875 (2011)

    Article  ADS  Google Scholar 

  • Jiménez, J.J., Segura, R.J.: Collision detection between complex polyhedra. Comput. Graph. 32(4), 402–411 (2008)

    Article  Google Scholar 

  • Margot, J.L., Nolan, M., Benner, L., et al.: Binary asteroids in the near-earth object population. Science 296(5572), 1445–1448 (2002)

    Article  ADS  Google Scholar 

  • Michel, P., Cheng, A., Küppers, M., et al.: Science case for the asteroid impact mission (aim): a component of the asteroid impact & deflection assessment (aida) mission. Adv. Space Res. 57(12), 2529–2547 (2016)

    Article  ADS  Google Scholar 

  • Naidu, S., Benner, L., Brozovic, M., et al.: Radar observations and a physical model of binary near-earth asteroid 65803 Didymos, target of the dart mission. Icarus 348, 113,777 (2020)

    Article  Google Scholar 

  • Rainey, E.S., Stickle, A.M., Cheng, A.F., et al.: Impact modeling for the double asteroid redirection test mission. In: Hypervelocity Impact Symposium, American Society of Mechanical Engineers (2019). p V001T04A003

    Google Scholar 

  • Rainey, E.S., Stickle, A.M., Cheng, A.F., et al.: Impact modeling for the double asteroid redirection test (dart) mission. Int. J. Impact Eng. 142, 103528 (2020)

    Article  Google Scholar 

  • Rivkin, A.S., Chabot, N.L., Stickle, A.M., et al.: The double asteroid redirection test (dart): planetary defense investigations and requirements. Planet. Sci. J. 2(5), 173 (2021)

    Article  Google Scholar 

  • Yu, Y., Michel, P.: Ejecta cloud from the aida space project kinetic impact on the secondary of a binary asteroid: Ii. fates and evolutionary dependencies. Icarus 312, 128–144 (2018)

    Article  ADS  Google Scholar 

  • Yu, Y., Michel, P., Schwartz, S.R., et al.: Ejecta cloud from the aida space project kinetic impact on the secondary of a binary asteroid: I. mechanical environment and dynamical model. Icarus 282, 313–325 (2017)

    Article  ADS  Google Scholar 

  • Yu, Y., Cheng, B., Hayabayashi, M., et al.: A finite element method for computational full two-body problem: I. The mutual potential and derivatives over bilinear tetrahedron elements. Celest. Mech. Dyn. Astron. 131(11), 1–21 (2019)

    Article  ADS  MathSciNet  Google Scholar 

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Acknowledgements

We acknowledge Hera WG3 group for constructive conversations and useful discussions. Y.Y. acknowledges financial support provided by the National Natural Science Foundation of China Grant No. 12022212.

Funding

The financial support of our research is provided by the National Natural Science Foundation of China Grant No. 12022212.

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Yunfeng Gao and Yang Yu wrote the main manuscript text and prepared Figs. 1-16. The research work is discussed by all authors. All authors reviewed the manuscript.

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Correspondence to Yang Yu.

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Bin Cheng and Yang Yu contributed equally to this work.

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Gao, Y., Cheng, B. & Yu, Y. The interactive dynamics of a binary asteroid and ejecta after medium kinetic impact. Astrophys Space Sci 367, 84 (2022). https://doi.org/10.1007/s10509-022-04111-z

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