Please use this identifier to cite or link to this item:
http://hdl.handle.net/2289/2707
Full metadata record
DC Field | Value | Language |
---|---|---|
dc.contributor.author | Blanchet, Luc | - |
dc.contributor.author | Iyer, B.R. | - |
dc.date.accessioned | 2007-06-11T09:29:08Z | - |
dc.date.available | 2007-06-11T09:29:08Z | - |
dc.date.issued | 2003-02 | - |
dc.identifier.citation | Classical and Quantum Gravity, 2003, Vol.20, p755-776 | en |
dc.identifier.issn | 0264-9381 | - |
dc.identifier.uri | http://hdl.handle.net/2289/2707 | - |
dc.description | Restricted Access. An open-access version is available at arXiv.org (one of the alternative locations) | en |
dc.description.abstract | The 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.extent | 271027 bytes | - |
dc.format.mimetype | application/pdf | - |
dc.language.iso | en | en |
dc.publisher | IOP Publishing Ltd. | en |
dc.relation.uri | http://arxiv.org/abs/gr-qc/0209089 | en |
dc.relation.uri | http://dx.doi.org/10.1088/0264-9381/20/4/309 | en |
dc.rights | 2003 IOP Publishing Ltd. | en |
dc.title | Third post-Newtonian dynamics of compact binaries: equations of motion in the centre-of-mass frame | en |
dc.type | Article | en |
Appears in Collections: | Research Papers (TP) |
Files in This Item:
File | Description | Size | Format | |
---|---|---|---|---|
2003 Classical & Quantum Gravity V20 p755.pdf Restricted Access | Restricted Access | 264.67 kB | Adobe PDF | View/Open Request a copy |
Items in RRI Digital Repository are protected by copyright, with all rights reserved, unless otherwise indicated.