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Distance to Taurus A

The Faraday (polarization) rotation of a radio wave of frequency tex2html_wrap_inline746 is given by:

displaymath816

where the various symbols have their usual meanings.

The position angle of polarization of the radio source Taurus A is tex2html_wrap_inline832 at a wavelength of 30cm and tex2html_wrap_inline836 at 5cm. Taking tex2html_wrap_inline840 as the mean longitudinal component of magnetic field and tex2html_wrap_inline842 as the mean electron concentration along the path, estimate the distance to Taurus A.

SOLUTION:

Put tex2html_wrap_inline844 where tex2html_wrap_inline846 is the wavelength (in metres).
Using mean values to replace the integral by a product:

displaymath817

where R is the distance to Taurus A.

displaymath818

Now:

displaymath819

From the data given:

displaymath820

displaymath821

In astronomical language:

displaymath822



Keith Jones
Fri Mar 24 09:38:47 EST 2000