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

Abstract

A quasi-Keplerian parameterisation 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, where the spins are counted of 0PN order.

26 pages, 1 figure, published in CQG. Current version: we removed a remark and clarified the derivation of the orbital element \e_phi

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Cited by in corpus (25)

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• General relativistic spin-orbit and spin-spin effects on the motion of rotating particles in an external gravitational field
• Spin effects in gravitational waveforms and fluxes for binaries on eccentric orbits to the third post-Newtonian order
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• Full-analytic frequency-domain 1pN-accurate gravitational wave forms from eccentric compact binaries
• Deviation of quadrupolar bodies from geodesic motion in a Kerr spacetime
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• Gravitational wave source localization for eccentric binary coalesce with a ground-based detector network
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• Improved Constraints on Modified Gravity with Eccentric Gravitational Waves
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• Canonical Angles In A Compact Binary Star System With Spinning Components: Approximative Solution Through Next-To-Leading-Order Spin-Orbit Interaction for Circular Orbits
• Electromagnetic fields in compact binaries: post-Newtonian wave generation and application to double white dwarfs systems
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