caa a22 4500 467887047 CHVBK 20180406152737.0 cr unu---uuuuu 170328e20060701xx s 000 0 eng 10.1007/s10714-006-0311-4 doi (NATIONALLICENCE)springer-10.1007/s10714-006-0311-4 Hansen Dörte Theoretisch-Physikalisches Institut, Friedrich-Schiller-Universität Jena, Max-Wien-Platz 1, 07743, Jena, Germany aut Dynamical Evolution and Leading Order Gravitational Wave Emission of Riemann-S Binaries [Elektronische Daten] [Dörte Hansen] An approximate strategy for studying the evolution of binary systems of extended objects is introduced. The stars are assumed to be polytropic ellipsoids. The surfaces of constant density maintain their ellipsoidal shape during the time evolution. The equations of hydrodynamics then reduce to a system of ordinary differential equations for the internal velocities, the principal axes of the stars and the orbital parameters. The equations of motion are given within Lagrangian and Hamiltonian formalism. The special case when both stars are axially symmetric fluid configurations is considered. Leading order gravitational radiation reaction is incorporated, where the quasi-static approximation is applied to the internal degrees of freedom of the stars. The influence of the stellar parameters, in particular the influence of the polytropic index n, on the leading order gravitational waveforms is studied. Springer Science and Business Media, Inc., 2006 Riemann-S binaries nationallicence Gravitational waves nationallicence Polytropic equation of state nationallicence General Relativity and Gravitation Kluwer Academic Publishers-Plenum Publishers; http://www.springer-ny.com 38/7(2006-07-01), 1173-1208 0001-7701 38:7<1173 2006 38 10714 https://doi.org/10.1007/s10714-006-0311-4 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s10714-006-0311-4 text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Hansen Dörte Theoretisch-Physikalisches Institut, Friedrich-Schiller-Universität Jena, Max-Wien-Platz 1, 07743, Jena, Germany aut NATIONALLICENCE 773 0- General Relativity and Gravitation Kluwer Academic Publishers-Plenum Publishers; http://www.springer-ny.com 38/7(2006-07-01), 1173-1208 0001-7701 38:7<1173 2006 38 10714 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer