Determination of the orbital parameters of binary pulsars

We present a simple method for determination of the orbital parameters of binary pulsars, using data on the pulsar period at multiple observing epochs. This method uses the circular nature of the velocity space orbit of Keplerian motion and produces preliminary values based on two one dimensional searches. Preliminary orbital parameter values are then refined using a computationally efficient linear least square fit. This method works for random and sparse sampling of the binary orbit. We demonstrate the technique on (a) the highly eccentric binary pulsar PSR J0514-4002 (the first known pulsar in the globular cluster NGC 1851) and (b) 47 Tuc T, a binary pulsar with a nearly circular orbit.

References(5)

Figures(8)

Observations of 20 millisecond pulsars in 47 Tucanae at 20 cm

Fernando Camilo
(
- Jodrell Bank
)
,
D.R. Lorimer
(
- Bonn, Max Planck Inst., Radioastron.
)
,
Paulo Cesar Carvalho Freire
(
- Jodrell Bank
)
,
A.G. Lyne
(
- Jodrell Bank
)
,
R.N. Manchester
(
- Australia, CSIRO, Epping
)

- Astrophys.J. 535 (2000) 975
•
e-Print:
- astro-ph/9911234
•
DOI:
- 10.1086/308859

Timing the millisecond pulsars in 47 tucanae

et al.

- Mon.Not.Roy.Astron.Soc. 326 (2001) 901
•
e-Print:
- astro-ph/0103372
•
DOI:
- 10.1046/j.1365-8711.2001.04493.x

Determination of the orbital parameters of binary pulsars

- Mon.Not.Roy.Astron.Soc. 322 (2001) 885
•
e-Print:
- astro-ph/0010463
•
DOI:
- 10.1046/j.1365-8711.2001.04200.x

GMRT discovery of a millisecond pulsar in a very eccentric binary system

Paulo Cesar Carvalho Freire
(
- Arecibo Observ.
)
,
Yashwant Gupta
(
- NCRA, Ganeshkhind
)
,
Scott M. Ransom
(
- McGill U. and
- MIT, MKI and
- MIT
)
,
C.H. Ishwara-Chandra
(
- NCRA, Ganeshkhind
)

- Astrophys.J.Lett. 606 (2004) L53-L56
•
e-Print:
- astro-ph/0403453
•
DOI:
- 10.1086/421085

Timing the Eccentric Binary Millisecond Pulsar in NGC 1851

- Astrophys.J. 662 (2007) 1177-1182
•
e-Print:
- astro-ph/0703051
•
DOI:
- 10.1086/517904