Statistical Theory of Asteroid Escape Rates

Details Statistical Theory of Asteroid Escape Rates Statistical Theory of Asteroid Escape Rates

Jul 2002

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2002phrvl..89a1101j&link_type=abstract

Physical Review Letters, vol. 89, p. 011101

Physics

Condensed Matter

Statistical Mechanics

45

Asteroids, Celestial Mechanics, Dynamical Systems, Mars (Planet), Nonlinear Systems, Reaction Kinetics, Solar System, Statistical Analysis, Statistical Mechanics

Scientific paper

Transition states in phase space are identified and shown to regulate the rate of escape of asteroids temporarily captured in circumplanetary orbits. The transition states, similar to those occurring in chemical reaction dynamics, are then used to develop a statistical semianalytical theory for the rate of escape of asteroids temporarily captured by Mars. Theory and numerical simulations are found to agree to better than 1% . These calculations suggest that further development of transition state theory in celestial mechanics, as an alternative to large-scale numerical simulations, will be a fruitful approach to mass transport calculations.

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