Estimate of the total kinetic power and age of extragalactic jet by its cocoon dynamics: The case of Cygnus A

Astronomy and Astrophysics – Astrophysics

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6 pages, 4 figures; MNRAS accepted, final version

Scientific paper

10.1111/j.1365-2966.2005.09580.x

We examine the constraints imposed on the total kinetic power ($L_{\rm j}$) and the age ($t_{\rm age}$) of relativistic jets in FR II radio sources in a new way. We solve the dynamical expansion of its cocoon embedded in the intra-cluster medium (ICM) and obtain the analytic solution of its physical quantities in terms of $L_{\rm j}$ and $t_{\rm age}$. The estimate of $L_{\rm j}$ and $t_{\rm age}$ is done by the comparison of the model and the observed shape of the cocoon. The analysis is focused on Cygnus A and we find that (i) the source age is $3 {\rm Myr}

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