Astronomy and Astrophysics – Astrophysics
Scientific paper
2008-07-08
Mon.Not.Roy.Astron.Soc.387:1583-1588,2008
Astronomy and Astrophysics
Astrophysics
6 pages, 5 figures
Scientific paper
10.1111/j.1365-2966.2008.13270.x
The algorithm of the ensemble pulsar time based on the optimal Wiener filtration method has been constructed. This algorithm allows the separation of the contributions to the post-fit pulsar timing residuals of the atomic clock and pulsar itself. Filters were designed with the use of the cross- and autocovariance functions of the timing residuals. The method has been applied to the timing data of millisecond pulsars PSR B1855+09 and PSR B1937+21 and allowed the filtering out of the atomic scale component from the pulsar data. Direct comparison of the terrestrial time TT(BIPM06) and the ensemble pulsar time PT$_{\rm ens}$ revealed that fractional instability of TT(BIPM06)--PT$_{\rm ens}$ is equal to $\sigma_z=(0.8\pm 1.9)\cdot 10^{-15}$. Based on the $\sigma_z$ statistics of TT(BIPM06)--PT$_{\rm ens}$ a new limit of the energy density of the gravitational wave background was calculated to be equal to $\Omega_g h^2 \sim 3\cdot 10^{-9}$.
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