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Going from \ensuremath{f_\ensuremath{\mathrm{}}^{\ensuremath{\mathrm{obs}}}} to \ensuremath{f_\ensuremath{\mathrm{}}^{\ensuremath{\mathrm{rest}}}}

In this specific transform, the velocity between the source/rest frame and the observatory frame (i.e., the source systemic velocity in the observatory frame \ensuremath{v_{\ensuremath{\mathrm{sys}}}^{\ensuremath{\mathrm{obs}}}}) is fixed. This implies that the Doppler effect can be written as

\begin{displaymath}
\frac{\ensuremath{f_\ensuremath{\mathrm{}}^{\ensuremath{\ma...
...{\mathrm{sys}}}^{\ensuremath{\mathrm{obs}}}}}{\ensuremath{c}}.
\end{displaymath} (35)

The first thing is that this transform is always linear. However, its physical interpretation in term of \ensuremath{v_{\ensuremath{\mathrm{sys}}}^{\ensuremath{\mathrm{obs}}}} is different in the two following cases.



Subsections

Gildas manager 2015-03-01