Springer Nature is making SARS-CoV-2 and COVID-19 research free. View research | View latest news | Sign up for updates

The boundary conditions for polytropic gas spheres

  • 24 Accesses

  • 4 Citations


Emden's differential equation for polytropic gas spheres, as well as Chandrasekhar's equation for associated Emden function of zero order and indexn=0(0.1)4.9 have been integrated numerically with a CDC 7600 automatic computer to 16 decimal places; and the surface values of the respective functions compared with previous work.

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


  1. Chandrasekhar, S.: 1933,Monthly Notices Roy. Astron. Soc. 93, 390, 539.

  2. Comrie, L. J. and Sadler, D. H.: 1930,Tables of the Emden Functions, British Assoc. Math. Tables, Vol. 2.

  3. Jeans, J. H.: 1929,Astronomy and Cosmogony (second edition), Cambridge University Press, p. 267.

  4. Kopal, Z.: 1983,Astrophys. Space Sci. 93, 149.

Download references

Author information

Rights and permissions

Reprints and Permissions

About this article

Cite this article

Jabbar, J.R. The boundary conditions for polytropic gas spheres. Astrophys Space Sci 100, 447–449 (1984). https://doi.org/10.1007/BF00651624

Download citation


  • Boundary Condition
  • Differential Equation
  • Zero Order
  • Decimal Place
  • Automatic Computer