Skip to main content
SpringerLink
Log in

On the theoretical possibility of the libration cloud

  • Published:
Astrophysics and Space Science Aims and scope Submit manuscript

Abstract

We show within the framework of the restricted three body problem that

  1. (i)

    Only in the immediate neighbourhood of the Lagrangian pointsL 4 andL 5 the distribution of a cloud of particles tends to become uniform under the influence of random stochastic perturbations. No consequences can be derived from this fact for a tendency of dispersion of clouds librating at arbitrary distances around the Lagrangian points.

  2. (ii)

    From an elementary inspection of the Jacobi integral we cannot conclude that mutual completely inelastic collisions tend to drive the particles away from the vicinity of the libration points.

Finally the motion of a particle within the libration cloud, approximated as a resisting medium, is briefly examined.

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

Similar content being viewed by others

References

  • Antonacopoulos, G. A.: 1970,Astrophys. Space. Sci. 9, 482.

    Google Scholar 

  • Dorschner, J.: 1967,Astron. Nachr. 290, 171.

    Google Scholar 

  • Horedt, Gp.: 1971,Astron. Astrophys. 14, 223.

    Google Scholar 

  • King-Hele, D. G.: 1962,Progress in Astronautical Sciences, Vol. I, North-Holland Publ. Comp., p. 1.

  • Kittel, C., Knight, W. D., and Rudermann, M. A.: 1971,Mechanics (russ.), Vol. I., Ch. 6, McGraw-Hill Comp.

  • Kordylewski, K.: 1961,Circ. IAU, No. 1760.

  • Landolt-Börnstein: 1965, New Series, Group VI, Vol. I,Astronomy and Astrophysics, §4.6.1, Springer.

  • Lyttleton, R. A.: 1967,Proc. Roy. Soc. A296, 285.

    Google Scholar 

  • Matas, V.: 1972,Bull. Astron. Inst. Czech. 23, 262.

    Google Scholar 

  • Öpik, E. J.: 1962,Progress in Astronautical Sciences, Vol. I, North-Holland Publ. Comp., p. 253.

  • Schechter, H. B.: 1968,AIAA J.6, 1223.

    Google Scholar 

  • Schutz, B. E. and Tapley, B. D.: 1970 in G. E. O. Giacaglia (ed.),Periodic Orbits, Stability and Resonances, D. Reidel Publ. Co., Dordrecht-Holland, p. 128.

    Google Scholar 

  • Sekiguchi, N.: 1970,Moon 2, 129.

    Google Scholar 

  • Stumpff, K.: 1965,Himmelsmechanik, Vol. II., Chap. XIII and §§ 163, 164, 191, Berlin.

  • Tapley, B. D. and Schutz, B. E.: 1968,AIAA J.6, 1405.

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Centre for Theoretical Physics, Universitatea Cluj, Romania

    GP. Horedt

Authors
  1. GP. Horedt
    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

Horedt, G. On the theoretical possibility of the libration cloud. Astrophys Space Sci 22, 321–327 (1973). https://doi.org/10.1007/BF00647430

Download citation

  • Received:

  • Revised:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF00647430

Keywords

Search

Navigation