Skip to main content
Log in

On the collapse of a gaseous isothermal sphere: An analytical solution

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

Abstract

An analytical solution in terms of elliptic integrals is found for the problem connected to the isolthermal collapse of a gaseous sphere. In this way the time-dependence of spatial density distribution is promptly obtained in each point inside the sphere itself. An application for interstellar clouds is given.

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

  • Disney, M. J., McNally, D., and Wright, A. E.: 1969,Monthly Notices Roy. Astron. Soc.,146, 123.

    Google Scholar 

  • Hayashi, C. and Nakano, T.: 1965,Progress Theor. Phys. 34, 754.

    Google Scholar 

  • Larson, R. B.: 1969,Monthly Notices Roy. Astron. Soc. 145, 271.

    Google Scholar 

  • Low, C. and Lynden-Bell, D.: 1976,Monthly Notices Roy. Astron. Soc. 176, 367.

    Google Scholar 

  • Penston, M. V.: 1969,Monthly Notices Roy. Astron. Soc. 144, 448.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Ballone, G., Fofi, M. On the collapse of a gaseous isothermal sphere: An analytical solution. Astrophys Space Sci 85, 293–296 (1982). https://doi.org/10.1007/BF00653450

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF00653450

Keywords

Navigation