| Автор | Luc Blanchet |
| Автор | Bala R Iyer |
| Дата выпуска | 2003-02-21 |
| dc.description | 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 binaryʼs 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 particlesʼ 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. |
| Формат | application.pdf |
| Издатель | Institute of Physics Publishing |
| Название | Third post-Newtonian dynamics of compact binaries: equations of motion in the centre-of-mass frame |
| Тип | paper |
| DOI | 10.1088/0264-9381/20/4/309 |
| Electronic ISSN | 1361-6382 |
| Print ISSN | 0264-9381 |
| Журнал | Classical and Quantum Gravity |
| Том | 20 |
| Первая страница | 755 |
| Последняя страница | 776 |
| Выпуск | 4 |
