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Celestial Mechanics and Dynamical Astronomy

, Volume 81, Issue 1–2, pp 93–101 | Cite as

Collision Probability for Earth-Crossing Asteroids Using Orbital Ranging

  • Karri Muinonen
  • Jenni Virtanen
  • Edward Bowell
Article

Abstract

We introduce new techniques for the computation of the collision probability for Earth-crossing asteroids in the case of short observational arcs and/or small numbers of observations. The techniques rely on the orbital element probability density computed using statistical orbital ranging. We apply the techniques to the Earth-crossing asteroid 1998 OX4with non-vanishing collision probability in numerous close approaches after the year 2012 (inclusive). We study the invariance of the collision probability in transformations between different orbital element sets, and develop a Spearman rank correlation measure for the validity of the linear approximation. We introduce an optimized, fast version of the statistical ranging method.

collision probability orbit determination Earth-crossing asteroids 

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References

  1. Bowell, E., Wasserman, L. H., Muinonen, K., McNaught, R. H. and West, R. M.: 1993, ‘A search for the lost asteroid (719) Albert’, Bull. Am. Astron. Soc. 25, 1118.Google Scholar
  2. Carpino, M. and Knežević, Z.: 1996, ‘Determination of the mass of (1) ceres from close approaches of other asteroids’, In: S. Ferraz-Mello, B. Morando and J.-E. Arlot (eds), IAU Symposium 172, Dynamics, Ephemerides, and Astrometry of Solar System Bodies, Kluwer Academic Publishers, Dordrecht, pp. 203-206.Google Scholar
  3. Chesley, S. R. and Milani, A.: 1999, ‘Nonlinear Methods for the Propagation of Orbital Uncertainty’, Paper 99-148 in AAS/AIAA Space Flight Mechanics Meeting, 16-19 August 1999, Girkwood, Alaska.Google Scholar
  4. Chodas, P.W.: 1993, ‘Estimating the impact probability of a minor planet with the Earth’, Bull. Amer. Astron. Soc. 25, 1226.Google Scholar
  5. Chodas, P. W. and Yeomans, D. K.: 1996, ‘The orbital motion and impact circumstances of comet Shoemaker-Levy 9’, In: K. S. Noll, H. A. Weaver and P. D. Feldman (eds), The Collision of Comet Shoemaker-Levy 9 and Jupiter, Cambridge University Press.Google Scholar
  6. Chodas, P.W. and Yeomans, D. K.: 1999, ‘Orbit Determination and Estimation of Impact Probability for Near Earth Objects’, Paper 99-002 in 21st Annual AAS Guidance and Control Conference.Google Scholar
  7. Kaasalainen, M. and Laakso, T.: 2001, ‘Near-integrability as a numerical tool in solar system dynamics’, Astron. Astrophys. 368, 706-711.Google Scholar
  8. Kessler, D. J.: 1981, ‘Derivation of the collision probability between orbiting objects: the lifetimes of Jupiter's outer Moons’, Icarus 48, 39-48.Google Scholar
  9. Milani, A.: 1999, ‘The asteroid identification problem I. Recovery of lost asteroids’, Icarus 137, 269-292.Google Scholar
  10. Milani, A. and Valsecchi, G. B.: 1999, ‘The asteroid identification problem II. Target plane confidence boundaries’, Icarus 140, 408-423.Google Scholar
  11. Milani, A., Chesley, S. R. and Valsecchi, G. B.: 1999, ‘Close approaches of asteroid 1999 AN10: resonant and non-resonant returns’, Astron. Astrophys. 346, L65-L68.Google Scholar
  12. Milani, A., Chesley, S. R. and Valsecchi, G. B.: 2000a, ‘Asteroid close encounters with earth: risk assessment’, Planet. Space Sci. ACM'99 Spl Issue (in press).Google Scholar
  13. Milani, A., Chesley, S. R., Boattini, A., Valsecchi, G. B. and Giovanni, B.: 2000b, ‘Virtual impactors: search and destroy’, Icarus 144, 12-24.Google Scholar
  14. Milani, A., LaSpina, A., Sansaturio, M. E. and Chesley, S. R.: 2000c, ‘The asteroid identification problem III. Proposing identifications’, Icarus 144, 39-53.Google Scholar
  15. Muinonen, K.: 1996, ‘Spaceguard survey for near-Earth objects: collision probability assessment’, Mem. S. A. It. 67, 999-1004.Google Scholar
  16. Muinonen, K.: 1999, ‘Asteroid and comet impacts with the Earth. Impact hazard and collision probability’, In: Bonnie A. Steves and Archie E. Roy (eds), Dynamics of Small Bodies in the Solar System, Kluwer Academic Publishers, Dordrecht, pp. 127-158.Google Scholar
  17. Muinonen, K. and Bowell, E.: 1993a, ‘Asteroid orbit determination using Bayesian probabilities’, Icarus 104, 255-279.Google Scholar
  18. Muinonen. K. and Bowell, E.: 1993b, ‘Collision probability for Earth-crossing asteroids on stochastic orbits’, Bull. Amer. Astron. Soc. 25, 1116.Google Scholar
  19. Öpik, E. J.: 1951, ‘Collisional probabilities with the planets and the distribution of interplanetary matter’, Proc. Roy. Irish Acad. A. 54, 165-199.Google Scholar
  20. Öpik, E. J.: 1976, Interplanetary Encounters, Close-Range Gravitational Interactions, Elsevier, Amsterdam.Google Scholar
  21. Press, W. H., Teukolsky, S. A., Vetterling, W. T. and Flannery, B. P.: 1994, Numerical Recipes in FORTRAN, the Art of Scientific Computing, Cambridge University Press.Google Scholar
  22. Standish, E. M., Newhall, X. X., Williams, J. G. and Folkner, W. F.: 1995, ‘JPL planetary and lunar ephemerides, DE403/LE403’, JPL IOM 314. 10-127.Google Scholar
  23. Valsecchi, G.B., Milani, A., Gronchi, G. F. and Chesley, S. R.: 2001, ‘The distribution of energy perturbations at planetary close encounters’ (in press).Google Scholar
  24. Wetherill, G. W.: 1967, ‘Collisions in the asteroid belt’, J. Geophys. Res. 72, 2429-2444.Google Scholar
  25. Virtanen, J., Muinonen, K. and Bowell, E.: 2001, ‘Statistical ranging of asteroid orbits’, Icarus(in press).Google Scholar
  26. Yeomans, D.K. and Chodas, P.W.: 1994, ‘Predicting close approaches of asteroids and comets to earth’, In: T. Gehrels (ed), Hazards Due to Comets and Asteroids, University of Arizona Press, Tucson, pp. 241-258.Google Scholar

Copyright information

© Kluwer Academic Publishers 2001

Authors and Affiliations

  • Karri Muinonen
  • Jenni Virtanen
  • Edward Bowell

There are no affiliations available

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