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19 Years Timing of J1713+0747 Weiwei Zhu NANOGrav Timing Group 2012-08-22

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Page 1: 19 Years Timing of J1713+0747 Weiwei Zhu NANOGrav Timing Group 2012-08-22

19 Years Timing of J1713+0747

Weiwei ZhuNANOGrav Timing Group

2012-08-22

Page 2: 19 Years Timing of J1713+0747 Weiwei Zhu NANOGrav Timing Group 2012-08-22

J1713+0747

• One of the longest/best timed pulsars – ~52ns time precision and improving, (Demorest et

al. 2012, this work)– 19 years total time span

• P= 4.6ms, Pb = 68 day (Foster et al. 1993)

Mark3(441ns) ABPP(86ns) Mark4(152ns) ASP(52ns) GASP(136ns)

Page 3: 19 Years Timing of J1713+0747 Weiwei Zhu NANOGrav Timing Group 2012-08-22

What can we do with this pulsar?

• Constrain gravitational wave background level

• Great laboratory for testing fundamental physics principles– Strong equivalence principle– Lorenz invariance/conservation of momentum

• Excellent strong-field test for Einstein’s general relativity and constrains for alternative theories.

Page 4: 19 Years Timing of J1713+0747 Weiwei Zhu NANOGrav Timing Group 2012-08-22

Gravitational Wave Background Level

• 5-Year single pulsar GW upper limit A1~10-14 (Demorest et al. 2012),

a factor of a few higher than the limit from all pulsars.

• A new single-pulsar GW background limit may be derived from our 19 years timing solution.

Demorest et al .2012

Page 5: 19 Years Timing of J1713+0747 Weiwei Zhu NANOGrav Timing Group 2012-08-22

Testing Fundamental Physics Principles-- Test Strong Equivalence Principle

Damour & Schafer 1991; Wex 1997, 2000; Bell & Damour 1996; Stairs 2003; Splaver et al. 2005; Gonzalez et al. 2011;

0.3Mʘ1.4Mʘ

(Stairs et al. 2005, Gonzalez et al. 2011)

Page 6: 19 Years Timing of J1713+0747 Weiwei Zhu NANOGrav Timing Group 2012-08-22

Existence of A Preferred Frame?

• A preferred Frame breaks down Lorenz Invariance/conservation of momentum.

• Acceleration and forced eccentricity.

Preferred Frame

(Stairs et al. 2005, Gonzalez et al. 2011)

Page 7: 19 Years Timing of J1713+0747 Weiwei Zhu NANOGrav Timing Group 2012-08-22

Measuring --Orbital Inclination & Orientation

Shapiro Delay:Mpulsar = 1.40.1 Mʘ

MWD = 0.300.02 Mʘ

i = 71 1

Measuring :𝑥 ̇�Ω = 93

Other Parameters:PMRA,PMDEC V

Ω

i

Kopeikin 1996)

Page 8: 19 Years Timing of J1713+0747 Weiwei Zhu NANOGrav Timing Group 2012-08-22

Test Fundamental Physics Principles

• (95%CL; Stairs et al. 2005; Gonzalez et al. 2011 based on 27 binary MSPs, including J1713)

• (95%CL; Stairs et al. 2005; Gonzalez et al. 2011 )

Markov Chain Monte Carlo estimation of the parameters

Blue: Other pulsar binaries (Gonzalez et al 11)Red: J1713+0747

Page 9: 19 Years Timing of J1713+0747 Weiwei Zhu NANOGrav Timing Group 2012-08-22

Einstein’s GR:

(:Kinematic effect; :Gravitational Wave)

All consistent with Einstein’s general theory of relativity

[J0437-4715, Deller et al. 08][J1012+5307, Lazaridis et al. 09][J1738+0333, Freire et al. 12][J1713+0747, this work, 68%CL]

52ns precision/68 day orbital period measuring the slowest fractional change over time

The Changing Pb – test Einstein’s GR

Page 10: 19 Years Timing of J1713+0747 Weiwei Zhu NANOGrav Timing Group 2012-08-22

Constrain Alternate Theory of Gravitation

Constraint based on J1012 J1738 and J1713

Lunar Laser Ranging; Hofmann et al. 2010

J0437&J1738; Freire et al 2012

J0437&J1738;Freire et al 2012

Our Constraint based on J1012, J1738 and J1713:

Page 11: 19 Years Timing of J1713+0747 Weiwei Zhu NANOGrav Timing Group 2012-08-22

Summary

As one of the best high-precision pulsars, J1713+0747 can:– strongly constrain gravitational wave background

level– test fundamental physical principles– test/constrain theories of General Relativity

Page 12: 19 Years Timing of J1713+0747 Weiwei Zhu NANOGrav Timing Group 2012-08-22

Thank You


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