Skip to main content
SpringerLink
Log in

The strange case of the missing apocentric librators in the 3:2 resonance

  • Letter to the Editor
  • Published:
Astrophysics and Space Science Aims and scope Submit manuscript

Abstract

From a comparison of the 2:1 and 3:2 resonances (in the asteroidal belt) two possible explanations to the absence of 3:2 apocentric librators are suggested. The first one is that such 3:2 resonant motion is dynamically unstable. The second interpretation requires the absence of nearcircular orbits originally at 4 AU. The latter view, if correct, is inconsistent with cosmogonic models which predict the original orbits of the asteroids to be nearly circular.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

References

  • Alfvén, H. and Arrhenius, G.: 1975,Origin and Evolution of the Solar system, D. Reidel Publishing Co., Dordrecht, Holland.

    Google Scholar 

  • Brown, E. W.: 1912, “On Librations in Planetary and Satellite Systems”,Monthly Notices Roy. Astron. Soc. 72, 609–630.

    Google Scholar 

  • Franklin, F. A., Marsden, B. G., Williams, J. G., and Bardwell, C. M.: 1975,Astron. J. 80, 729–746.

    Google Scholar 

  • Ip, W.-H.: 1976a, ‘On the Collisional Origin of the Kirkwood Gaps and Some Related Problems’, submitted toIcarus.

  • Ip, W.-H.: 1976b, ‘Dynamical Study of the Hilda Asteroids. I. The Resonant Orbital Motions of the PLS Objects from Palomar-Leiden Survey’,Astrophys. Space Sci. (in press).

  • Ip, W.-H.: 1976c, ‘A Note on the Cosmogony of the Asteroidal Belt’, submitted toAstrophys. Space Sci.

  • Schubart, J.: 1968,Astron. J. 73, 99–103.

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Department of Applied Physics and Information Science, University of California, San Diego, La Jolla, California, USA

    W. -H. IP

Authors
  1. W. -H. IP
    View author publications

    You can also search for this author in PubMed Google Scholar

Rights and permissions

Reprints and permissions

About this article

Cite this article

IP, W.H. The strange case of the missing apocentric librators in the 3:2 resonance. Astrophys Space Sci 42, L1–L3 (1976). https://doi.org/10.1007/BF00645552

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF00645552

Keywords

Search

Navigation