M101 picture is about 770 pixels across = 40 kpc - so, let 800 pixels = 40,000 pc -> 50 pc per pixel - XFig units 40,000 kpc = 11505 units -> 3.5 pc per unit - Hipparcos: precision 0.003 arcsec, go to about 100 pc (use rule that 1/(3*uncert) = dist limit) 100 pc = 2 pix radius = 30 units - VERA: precision 0.000 05 arcsec, go to about 1 / (0.000 05 * 3) = 6000 pc 6000 pc = 120 pix radius = 1725 units VERA freq 22 GHz so wavelength is 0.0136 m = 13.6 cm - VERA resolution = 70 deg * (0.0136 m / 2,000,000 m) = 4.76 x 10^(-7) degrees = 0.0017 arcsec