Phys. Rev. D 62, 044040 (2000) [45 pages]Equilibrium sequences of irrotational binary polytropic stars: The case of double polytropic stars |
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Keisuke Taniguchi
Département d’Astrophysique Relativiste et de Cosmologie, UMR 8629 du C.N.R.S., Observatoire de Paris, F-92195 Meudon Cedex, France
Takashi Nakamura
Yukawa Institute for Theoretical Physics, Kyoto University, Kyoto 606-8502, Japan
Received 2 February 2000; published 26 July 2000
Solutions to equilibrium sequences of irrotational binary polytropic stars in Newtonian gravity are expanded in a power of ε=a0/R, where R and a0 are the orbital separation of the binary system and the radius of each star for R=∞. For each order of ε, 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 ε6 orders. Our semianalytic solutions can be used to check the validity of numerical solutions.
©2000 The American Physical Society
URL: http://link.aps.org/abstract/PRD/v62/e044040
DOI: 10.1103/PhysRevD.62.044040
PACS: 04.30.Db, 04.25.Dm, 97.80.Fk
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