Tessmer, M.; Hartung, J.; Schäfer, G. Motion and gravitational wave forms of eccentric compact binaries with orbital-angular-momentum-aligned spins under next-to-leading order in spin-orbit and leading order in spin(1)-spin(2) and spin-squared couplings. (English) Zbl 1195.83019 Classical Quantum Gravity 27, No. 16, Article ID 165005, 29 p. (2010). Summary: A quasi-Keplerian parameterization for the solutions of second post-Newtonian (PN) accurate equations of motion for spinning compact binaries is obtained including leading order spin-spin and next-to-leading order spin-orbit interactions. Rotational deformation of the compact objects is incorporated. For arbitrary mass ratios the spin orientations are taken to be parallel or anti-parallel to the orbital angular momentum vector. The emitted gravitational wave forms are given in analytic form up to 2PN point particle, 1.5PN spin-orbit and 1PN spin-spin contributions, whereby the spins are assumed to be of 0PN order. Cited in 6 Documents MSC: 83C10 Equations of motion in general relativity and gravitational theory 83C35 Gravitational waves 85A05 Galactic and stellar dynamics 83C25 Approximation procedures, weak fields in general relativity and gravitational theory Keywords:equations of motion; gravitational waves Software:xPerm PDFBibTeX XMLCite \textit{M. Tessmer} et al., Classical Quantum Gravity 27, No. 16, Article ID 165005, 29 p. (2010; Zbl 1195.83019) Full Text: DOI arXiv