Skip to main content
Log in

About stability of libration points in the restricted photogravitational three body problem

  • Published:
Celestial Mechanics and Dynamical Astronomy Aims and scope Submit manuscript

Abstract

Nonlinear stability of the triangular libration point in the photogravitational restricted three body problem was investigated in the whole range of the parameters. Some results obtained earlier are corrected. The method for proper determination of cases when stability cannot be determined by four order terms of the hamiltonian was proposed.

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

Access this article

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

Instant access to the full article PDF.

Similar content being viewed by others

References

  • Goźdwieski, K. and Maciejewski, A. J.: 1990, Celest. Mech. 49, 1–10.

    Google Scholar 

  • Kumar, V. and Choudhry, R. K.: 1987, Celest. Mech. 40, 155–170.

    Google Scholar 

  • Markeev, A. P.: 1978, Libration points in Celestial Mechanics and Cosmo-dynamics, Nuka, Moscow.

    Google Scholar 

  • Meyer, K. R. and Schmidt, D. S.: 1986, J. Diff. Eq. 62, 222–236.

    Google Scholar 

  • Radzieevskii, V. V.: 1950, Astron. Zh. 27, 250–256.

    Google Scholar 

  • Radzieevskii, V. V.: 1953, Astron. Zh. 30, 265–273.

    Google Scholar 

  • Simmons, J. F. L., McDonald, A. J. C., and Brown, J. C.: 1985, Celest. Mech. 35, 145–187.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Goździewski, K., Maciejewski, A.J. & Niedzielska, Z. About stability of libration points in the restricted photogravitational three body problem. Celestial Mech Dyn Astr 52, 195–201 (1991). https://doi.org/10.1007/BF00049449

Download citation

  • Received:

  • Revised:

  • Accepted:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF00049449

Key words

Navigation