  Accurate determination of gravitational wave source parameters relies on
transforming between the source and detector frames. All-sky searches for
continuous wave sources are computationally expensive, in part, because of
barycentering transformation of time delays to a solar system frame. This
expense is exacerbated by the complicated modulation induced in signal
templates. We investigate approximations for determining time delays of signals
received by a gravitational wave detector with respect to the solar system
barycenter. A highly non-linear conventional computation is transformed into
one that has a pure linear sum in its innermost loop. We discuss application of
these results to determination of the maximal useful integration time of
continuous wave searches.
