Almost analytic solutions to equilibrium sequences of irrotational binary polytropic stars for n=1

Details Almost analytic solutions to equilibrium sequences of irrotational binary polytropic stars for n=1 Almost analytic solutions to equilibrium sequences of irrotational binary polytropic stars for n=1

1999-11-23

arxiv.org/abs/astro-ph/9911426v1

Phys.Rev.Lett. 84 (2000) 581-585

Astronomy and Astrophysics

Astrophysics

4 pages, 2 figures, revtex, accepted to Phys. Rev. Lett

Scientific paper

10.1103/PhysRevLett.84.581

A solution to an equilibrium of irrotational binary polytropic stars in Newtonian gravity is expanded in a power of \epsilon=a_0/R, where R and a_0 are the separation of the binary system and the radius of each star for R=\infty. For the polytropic index n=1, the solutions are given almost analytically up to order \epsilon^6. We have found that in general an equilibrium solution should have the velocity component along the orbital axis and that the central density should decrease when R decreases. Our almost analytic solutions can be used to check the validity of numerical solutions.

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