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Please use this identifier to cite or link to this item: http://hdl.handle.net/2289/2707
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dc.contributor.authorBlanchet, Luc-
dc.contributor.authorIyer, B.R.-
dc.date.accessioned2007-06-11T09:29:08Z-
dc.date.available2007-06-11T09:29:08Z-
dc.date.issued2003-02-
dc.identifier.citationClassical and Quantum Gravity, 2003, Vol.20, p755-776en
dc.identifier.issn0264-9381-
dc.identifier.urihttp://hdl.handle.net/2289/2707-
dc.descriptionRestricted Access. An open-access version is available at arXiv.org (one of the alternative locations)en
dc.description.abstractThe equations of motion of compact binary systems and their associated Lagrangian formulation have been derived in previous works at the third post-Newtonian (3PN) approximation of general relativity in harmonic coordinates. In the present work, we investigate the binary's relative dynamics in the centre-of-mass frame (centre of mass located at the origin of the coordinates). We obtain the 3PN-accurate expressions of the centre-of-mass positions and equations of the relative binary motion. We show that the equations derive from a Lagrangian (neglecting the radiation reaction), from which we deduce the conserved centre-of-mass energy and angular momentum at the 3PN order. The harmonic-coordinates centre-of-mass Lagrangian is equivalent, via a contact transformation of the particles' variables, to the centre-of-mass Hamiltonian in ADM coordinates that is known from the post-Newtonian ADM-Hamiltonian formalism. As an application we investigate the dynamical stability of circular binary orbits at the 3PN order.en
dc.format.extent271027 bytes-
dc.format.mimetypeapplication/pdf-
dc.language.isoenen
dc.publisherIOP Publishing Ltd.en
dc.relation.urihttp://arxiv.org/abs/gr-qc/0209089en
dc.relation.urihttp://dx.doi.org/10.1088/0264-9381/20/4/309en
dc.rights2003 IOP Publishing Ltd.en
dc.titleThird post-Newtonian dynamics of compact binaries: equations of motion in the centre-of-mass frameen
dc.typeArticleen
Appears in Collections:Research Papers (TP)

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