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

Abstract

A solution to an equilibrium of irrotational binary polytropic stars in Newtonian gravity is expanded in a power of ε=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 ε^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.

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

References in corpus (2)

• Numerical models of irrotational binary neutron stars in general relativity
• Irrotational binary neutron stars in quasiequilibrium

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