Accelerated power series solution of polytropic and isothermal gas spheres

Details Accelerated power series solution of polytropic and isothermal gas spheres Accelerated power series solution of polytropic and isothermal gas spheres

Jul 2004

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2004newa....9..467n&link_type=abstract

New Astronomy, Volume 9, Issue 6, p. 467-473.

Astronomy and Astrophysics

Astronomy

5

Methods: Analytical, Stars: Interiors, Sun: Interior

Scientific paper

In this paper, a power series solution for the Lane-Emden equation has been developed. We construct a recurrence relation for the coefficients ak in the power series expansion θ(x)=∑akxk of the solution of the Lane-Emden equation. For a polytrope with index n<=1.9 the series appear to converge everywhere inside the star. For n>1.9 the series converges in the inner radii, but then diverges. To improve the convergence radii of the series we used a combination of two accelerating techniques, Euler-Abel transformation and Padé approximation. These transformed series converge everywhere for n<=5. A comparison with the isothermal sphere reveals a good fit with both the numerical and four terms optimized model developed by Hunter [MNRAS 328 (2001) 839].

Affiliated with

Also associated with

No associations

Rating

Accelerated power series solution of polytropic and isothermal gas spheres does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Accelerated power series solution of polytropic and isothermal gas spheres, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Accelerated power series solution of polytropic and isothermal gas spheres will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-1727084