2026ApJ...997..216W

We report a series of images of Tycho's supernova remnant at eight epochs extending over 30 yr: 1986-2016. In addition to our Hα images, we have obtained matched continuum images, which we subtract to reveal faint emission, including a far more extensive network of optical knots and filaments than reported previously. The deepest images also show an extremely faint, fairly diffuse arc of emission surrounding much of the circumference of Tycho to the southeast and south, coinciding with the rim of the radio and X-ray shell. We have measured proper motions for 46 filaments, including many fainter ones near Tycho's outer rim. Our measurements are generally consistent with previous ones by K. W. Kamper & S. van den Bergh, but ours have far greater precision. Most optical filaments at the shell rim have expansion indices reasonably consistent with the Sedov value (0.40), while the interior filaments have somewhat smaller values, as expected. From the combination of the proper motions of the filaments at the shell rim and the shock velocity at the same positions, one should be able to calculate the distance to Tycho by simple geometry. Determination of the shock velocity from broad Balmer-line profiles is subject to model uncertainties, but the availability of dozens of such filaments with a range of conditions offers the possibility to substantially improve the distance determination for Tycho.