To do this, use the
tabulated peculiar velocities with respect to
the CMB. You'll need to correct the peculiar velocities of your two
clusters to the CMB reference frame, and you can do this easily using
the NED
velocity calculator
(or by doing the spherical trig yourself!). Then compare the motion you
solve for to the bulk motion measurements in the literature.
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To do this, convert the
peculiar velocities from the CMB reference frame to the LG reference
frame (again using the NED
velocity calculator).
Once you've done that, compare the motion you get to known motion of
the LG (i.e., to the Virgo infall and CMB motions), found in the
literature.
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