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Jaffé C, Ross SD, Lo MW, et al. Statistical theory of asteroid escape rates. Phys Rev Lett. 2002;89(1):011101doi: 10.1103/PhysRevLett.89.011101.
Jaffé, C., Ross, S. D., Lo, M. W., Marsden, J., Farrelly, D., & Uzer, T. (2002). Statistical theory of asteroid escape rates. Physical review letters, 89(1), 011101. https://doi.org/10.1103/PhysRevLett.89.011101
Jaffé, Charles, et al. "Statistical theory of asteroid escape rates." Physical review letters vol. 89,1 (2002): 011101. doi: https://doi.org/10.1103/PhysRevLett.89.011101
Jaffé C, Ross SD, Lo MW, Marsden J, Farrelly D, Uzer T. Statistical theory of asteroid escape rates. Phys Rev Lett. 2002 Jul 01;89(1):011101. doi: 10.1103/PhysRevLett.89.011101. Epub 2002 Jun 12. PMID: 12097024.
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Phys Rev Lett. 2002 Jul 01;89(1):011101. doi: 10.1103/PhysRevLett.89.011101. Epub 2002 Jun 12.

Statistical theory of asteroid escape rates.

Physical review letters

Charles Jaffé, Shane D Ross, Martin W Lo, Jerrold Marsden, David Farrelly, T Uzer

Affiliations

  1. Control and Dynamical Systems Division 107-81, California Institute of Technology, Pasadena, California 91125, USA.

PMID: 12097024 DOI: 10.1103/PhysRevLett.89.011101

Abstract

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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