Dynamical erosion of the asteroid belt and implications for large impacts in the inner Solar System

David A. Minton, Renu Malhotra

Research output: Contribution to journalArticle

99 Citations (Scopus)

Abstract

The cumulative effects of weak resonant and secular perturbations by the major planets produce chaotic behavior of asteroids on long timescales. Dynamical chaos is the dominant loss mechanism for asteroids with diameters D≳10km in the current asteroid belt. In a numerical analysis of the long-term evolution of test particles in the main asteroid belt region, we find that the dynamical loss history of test particles from this region is well described with a logarithmic decay law. In our simulations the loss rate function that is established at t≈1Myr persists with little deviation to at least t=4Gyr. Our study indicates that the asteroid belt region has experienced a significant amount of depletion due to this dynamical erosion-having lost as much as ∼50% of the large asteroids-since 1 Myr after the establishment of the current dynamical structure of the asteroid belt. Because the dynamical depletion of asteroids from the main belt is approximately logarithmic, an equal amount of depletion occurred in the time interval 10-200 Myr as in 0.2-4 Gyr, roughly ∼30% of the current number of large asteroids in the main belt over each interval. We find that asteroids escaping from the main belt due to dynamical chaos have an Earth-impact probability of ∼0.3%. Our model suggests that the rate of impacts from large asteroids has declined by a factor of 3 over the last 3 Gyr, and that the present-day impact flux of D>10km objects on the terrestrial planets is roughly an order of magnitude less than estimates currently in use in crater chronologies and impact hazard risk assessments.

Original languageEnglish (US)
Pages (from-to)744-757
Number of pages14
JournalIcarus
Volume207
Issue number2
DOIs
StatePublished - Jun 2010

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asteroid belts
asteroids
solar system
asteroid
erosion
depletion
chaos
chaotic dynamics
intervals
long term effects
terrestrial planets
risk assessment
chronology
planet
craters
hazards
numerical analysis
planets
histories
deviation

Keywords

  • Asteroids
  • Asteroids, Dynamics
  • Cratering

ASJC Scopus subject areas

  • Space and Planetary Science
  • Astronomy and Astrophysics

Cite this

Dynamical erosion of the asteroid belt and implications for large impacts in the inner Solar System. / Minton, David A.; Malhotra, Renu.

In: Icarus, Vol. 207, No. 2, 06.2010, p. 744-757.

Research output: Contribution to journalArticle

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