but the basic procedure is the same - determine the peculiar velocities of galaxies (deviations from predicted expansion velocity) due to the existence of "nearby" mass concentrations that can drive flow.
The peculiar motion of the solar system is not that of our galaxy or local group - but it can be detected!
I recently lodged the attached essay on the website of the Lincoln Astronomical Society (in UK), following a talk I gave on Dec 1st 2015.
Our formula for Alpha and Lorentz-FitzGerald contraction (LC) are validated by the motion of the H-atom's proton during the period of the UV photon of the Lyman-alpha line. The 2008 proposal mentioned for an ionisation-potential experiment on the ISS could be a game changer if undertaken ...Is Tim Peake reading this up there?