Polytropic Profile -- from Eric Weisstein's World of Physics

Wolfram Research scienceworld.wolfram.com Other Wolfram Sites

Alphabetical Index

[画像:About this site]

About this site

Astrophysics "> Stellar Astrophysics v

Polytropic Profile

A polytropic profile is a function of the form

(1)

where is the so-called polytropic index. Polytropic profiles obey the Lane-Emden equation and have profiles of the form

(2)

together with the boundary conditions

(3)

(4)

n U

0

1

3.653

2 4.353 1.12 0.55 0.24 0.49 0.40

5.355

3 6.896 1.84 0.83 0.22 0.45 0.42

9.535

4 14.97 4.16 1.48 0.21 0.36 0.44

31.83

5

Lane-Emden Equation

References

Chandrasekhar, S. Radiative Transfer. New York: Dover, 1960.

© 1996-2007 Eric W. Weisstein