童明雷中国科学院国家时中心

1、童明雷童明雷中国科学院国家授时中心中国科学院国家授时中心2021-12-121pulsar timing residuals induced by non-evolving single gw sources outline2021-12-122introduction of pulsar timingthe general solution of gws from a supermassive black hole binarythe time properties of timing residuals due to a single gw the effects of all the r

2、elated parameters on the timing residuals toa (measured using the observatory clock)residualpulsar timingfoldfoldmodelp2ssb/esrclkobsfdtttclktdrseobservatory clock to ttdm delay ( d=dm/(2.4110-16)s )roemer delayshapiro delayeinstein delayparallex delayother delay terms including atmospheric delay, s

3、hklovskii effect, relativistic second-order doppler shift, gws, etc.p2021-12-125application of pulsar timinglestablish pulsar time standard similar to atomic time establish pulsar time standard similar to atomic time scale scale ldirect detection of gws direct detection of gws limprove knowledge of

4、solar system properties, e.g. improve knowledge of solar system properties, e.g. masses and orbits of outer planets and asteroids.masses and orbits of outer planets and asteroids.lapplication to spacecraft navigation based on pulsar application to spacecraft navigation based on pulsar timingtimingou

5、tline2021-12-126introduction of pulsar timingthe general solution of gws from a supermassive black hole binarythe time properties of timing residuals due to a single gw the effects of all the related parameters on the timing residuals gw sourcesucontinuous sources: inspiral of binary compact stars,

6、the rotating isolated neutron stars, and the neutron stars in the x-ray binary star systems.uinstantaneous sources: supernovae and coalescing binary systemsustochastic background sources:numbers of compact binary stars (inspiral and merge)relic gw from inflationcosmic strings2021-12-1272021-12-128in

7、 vacuumthe solution is the superposition of plane waves:gws only have two polarizations h+h the solution of gws in vacuum2021-12-129in vacuumthe solution is the superposition of plane waves:gws only have two polarizations h+h the solution of gws in vacuumwhat is a non-evolving black hole binary?elli

8、ptical orbit of a binary system2021-12-1210the kinematic solutionthe period of the orbitthe differential equation for the keplerian motion the gw solution from a compact star binary2021-12-1211in the linearized einstein theory of gws, the metric purterbations with tt gauge the quadrupole moment for

9、a binary system isthe coordinate system2021-12-1212the solution of gws2021-12-1213wahlquist, grg, 19871987the cace of e=02021-12-1214lee k j et al, mnras, 2011 2011outline2021-12-1215introduction of pulsar timingthe general solution of gws from a supermassive black hole binarythe time properties of

10、timing residuals due to a single gw the effects of all the related parameters on the timing residuals single gw sourcesearthpulsargw sourcen 2021-12-1217the general cases of e02021-12-1218the setting of some parameterstaking j0437-4715 as an examplepn, 0, 0, 0pcdp1571510hsp910120e=02021-12-1219e=0.3

11、2021-12-1220e=0.62021-12-1221120e=0.82021-12-1222rms residuals2021-12-1223e=0e=0.3e=0.6e=0.8nsr3 .27nsr4 .22nsr2 .11nsr2 . 52021-12-1224outline2021-12-1225introduction of pulsar timingthe general solution of gws from a supermassive black hole binarythe time properties of timing residuals due to a single gw the effects of all the related paramete