The ages of asteroid families

Details The ages of asteroid families The ages of asteroid families

Jun 1989

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1989a%26a...217..298f&link_type=abstract

Astronomy and Astrophysics (ISSN 0004-6361), vol. 217, no. 1-2, June 1989, p. 298-306. Research supported by CNR, MPI, and CNRS.

Statistics

Computation

12

Asteroids, Perturbation Theory, Planetary Evolution, Secular Variations, Computational Astrophysics, Orbital Mechanics, Asteroids, Age, Theoretical Studies, Perturbations, Eos Asteroids, Models, Calculations, Collisions, Orbits, Dynamics, Analysis, Techniques, Origin, Formation

Scientific paper

The issue of the ages of asteroid families is addressed using purely dynamical arguments. It is shown that, up to timescales of the order of 100,000 yr, the sum between the proper longitude of the node and the proper longitude of perihelion of an asteroid behaviors as a quasi-integral of motion. Consequently, any clustering of the angle (perihelion + node) within a family would imply an age of less than about a million years. Brouwer's (1951) analysis is remade for the Eos family by using both the higher-order and higher-degree secular perturbation theory of Yasua (1973) to derive proper elements and numerical integrations of the orbits of the family members to test the theory that clustering exists for the case of the family. The results show that, although puzzling features do exist in this family, the evidence is not strong enough to rule out subtle observational selection effects and forcefully to imply an age of the order of a million years.

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