Equilibrium sequences of irrotational binary polytropic stars : The case of double polytropic stars

Details Equilibrium sequences of irrotational binary polytropic stars : The case of double polytropic stars Equilibrium sequences of irrotational binary polytropic stars : The case of double polytropic stars

2000-04-03

arxiv.org/abs/astro-ph/0004010v1

Phys.Rev. D62 (2000) 044040

Astronomy and Astrophysics

Astrophysics

59 pages including 15 tables and 13 figures, revtex, accepted to Phys. Rev. D

Scientific paper

10.1103/PhysRevD.62.044040

Solutions to equilibrium sequences of irrotational binary polytropic stars in Newtonian gravity are expanded in a power of $\epsilon=a_0/R$, where R and $a_0$ are the orbital separation of the binary system and the radius of each star for $R=\infty$. For each order of $\epsilon$, we should solve ordinary differential equations for arbitrary polytropic indices n. We show solutions for polytropic indices n= 0.5, 1, 1.5 and 2 up to $\epsilon^6$ orders. Our semi-analytic solutions can be used to check the validity of numerical solutions.

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