# Kepler equation for inspiralling compact binaries

## Abstract

Compact binaries consisting of neutron stars/black holes on eccentric orbit undergo a perturbed Keplerian motion. The perturbations are either of relativistic origin or are related to the spin, mass quadrupole, and magnetic dipole moments of the binary components. The post-Newtonian motion of such systems decouples into radial and angular parts. We present here for the first time the radial motion of such a binary encoded in a generalized Kepler equation, with the inclusion of all above-mentioned contributions, up to linear order in the perturbations. Together with suitably introduced parametrizations, the radial motion is solved completely.

- Authors:

- Departments of Theoretical and Experimental Physics, University of Szeged, Szeged 6720 (Hungary)

- Publication Date:

- OSTI Identifier:
- 20711575

- Resource Type:
- Journal Article

- Resource Relation:
- Journal Name: Physical Review. D, Particles Fields; Journal Volume: 72; Journal Issue: 10; Other Information: DOI: 10.1103/PhysRevD.72.104022; (c) 2005 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA)

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; BINARY STARS; BLACK HOLES; COSMOLOGY; DISTURBANCES; GRAVITATIONAL WAVES; MAGNETIC DIPOLE MOMENTS; NEUTRON STARS; QUADRUPOLES; RELATIVISTIC RANGE; SPIN

### Citation Formats

```
Keresztes, Zoltan, Mikoczi, Balazs, and Gergely, Laszlo A.
```*Kepler equation for inspiralling compact binaries*. United States: N. p., 2005.
Web. doi:10.1103/PhysRevD.72.104022.

```
Keresztes, Zoltan, Mikoczi, Balazs, & Gergely, Laszlo A.
```*Kepler equation for inspiralling compact binaries*. United States. doi:10.1103/PhysRevD.72.104022.

```
Keresztes, Zoltan, Mikoczi, Balazs, and Gergely, Laszlo A. Tue .
"Kepler equation for inspiralling compact binaries". United States.
doi:10.1103/PhysRevD.72.104022.
```

```
@article{osti_20711575,
```

title = {Kepler equation for inspiralling compact binaries},

author = {Keresztes, Zoltan and Mikoczi, Balazs and Gergely, Laszlo A.},

abstractNote = {Compact binaries consisting of neutron stars/black holes on eccentric orbit undergo a perturbed Keplerian motion. The perturbations are either of relativistic origin or are related to the spin, mass quadrupole, and magnetic dipole moments of the binary components. The post-Newtonian motion of such systems decouples into radial and angular parts. We present here for the first time the radial motion of such a binary encoded in a generalized Kepler equation, with the inclusion of all above-mentioned contributions, up to linear order in the perturbations. Together with suitably introduced parametrizations, the radial motion is solved completely.},

doi = {10.1103/PhysRevD.72.104022},

journal = {Physical Review. D, Particles Fields},

number = 10,

volume = 72,

place = {United States},

year = {Tue Nov 15 00:00:00 EST 2005},

month = {Tue Nov 15 00:00:00 EST 2005}

}

Other availability

Save to My Library

You must Sign In or Create an Account in order to save documents to your library.