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The boundary conditions for polytropic gas spheres

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Abstract

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.

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References

  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.

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

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Keywords

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