Astrophysics and Space Science

, Volume 44, Issue 2, pp 373–383 | Cite as

Dynamical study of the Hilda asteroids

I. Resonant orbital motion of the PLS objects from the Palomar-Leiden Survey
  • W. -H. Ip
Article

Abstract

Schubart's model of a planar, elliptic restricted three-body problem is used to study the orbital motion of the Hilda asteroids from thePalomar-Leiden Survey. The 3:2 resonant coupling to Jupiter of some of these small asteroids are found to be stable. However, some of the small asteroids with absolute magnitudeg>15 have large amplitude of variation in their orbital elements in one libration period. Since the lifetime scales against catastrophic collision of the Hilda asteroids are estimated to be several times larger than those of the main belt objects, a significant portion of these resonant asteroids could be the original members of the Hilda group. From this point of view, it is suggested that such ‘size-dependence’ of resonant orbital motions might be the result of the cosmogonic effects ofjet stream accretion.

Keywords

Large Amplitude Dynamical Study Orbital Element Orbital Motion Resonant Coupling 

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Alfvén, H.: 1970, ‘Jet streams in space’,Astrophys. Space Sci. 6, 161–174.Google Scholar
  2. Anders, E.: 1965, ‘Fragmentation history of asteroids’,Icarus 4, 398–408.Google Scholar
  3. Brouwer, D. and Clemence, G. M.: 1961,Methods of Celestial Mechanics, Academic Press, New York and London.Google Scholar
  4. Dohnanyi, J. S.: 1969, ‘Collisional model of asteroids and their debris’,J. Geophys. Res. 74, 2531–2554.Google Scholar
  5. Franklin, F. A., Marsden, B. G., Williams, J. G., and Bardwell, C. M.: 1975, ‘Minor planets and comets in libration about the 2:1 resonance with Jupiter’,Astron. J. 80, 729–746.Google Scholar
  6. Ip, W.-H.: 1973, ‘Interaction of the dynamical and collisional effects on the resonant structures of the Kirkwood gaps and the isolated asteroidal clusters’,Bull. Amer. Astron. Soc. 5, No. 4, Part 1, 389.Google Scholar
  7. Ip, W.-H.: 1974, ‘Application of the Brown-Shook model to the Kirkwood gaps and resonant asteroids’,Celes. Mech. 9, 73–79.Google Scholar
  8. Ip, W.-H.: 1975a, ‘On the orbital dependence of asteroidal collision process’, in preparation.Google Scholar
  9. Ip, W.-H.: 1975b, ‘Application of the theory of a jet stream to the asteroidal belt’,Astrophys. Space Sci. 38, 475–481.Google Scholar
  10. Jefferys, W. H.: 1967, ‘Nongravitational forces and resonances in the solar system’,Astron. J. 72, 872–875.Google Scholar
  11. Schubart, J.: 1968, ‘Long-period effects in the motion of Hilda-type planets’,Astron. J. 73, 99–103.Google Scholar
  12. Sinclair, A. T.: 1969, ‘The motions of minor planets close to commensurabilities with Jupiter’,Monthly Notices Roy. Astron. Soc. 142, 289–294.Google Scholar
  13. Van Houten, C. J., Van Houten-Groeneveld, I., Herget, P., and Gehrels, T.: 1970, ‘The Palomar-Leiden Survey of faint minor planets’,Astron. Astrophys. Suppl. 2, 339–448.Google Scholar
  14. Wiesel, W. E.: 1974, ‘A statistical theory of the Kirkwood gaps, II.’ Center of Astrophys. Preprint No. 204, to be published inCeles. Mech. Google Scholar

Copyright information

© D. Reidel Publishing Company 1976

Authors and Affiliations

  • W. -H. Ip
    • 1
  1. 1.Department of Applied Physics and Information ScienceUniversity of CaliforniaSan Diego, La JollaUSA

Personalised recommendations