  We studied the weak-lined T Tauri star Hubble 4, a known long-period binary,
and its starspot phenomena. We used optical radial velocity (RV) data taken
over a span of 14 years (2004-2010, 2017-2019) at the McDonald Observatory 2.7m
Harlan J. Smith telescope and single epoch imaging from the HST/WFC3
instrument. The observed and apparent RV variations show contributions,
respectively, from the binary motion as well as from a large spot group on one
of the stars, presumed to be the primary. Fitting and removing the orbital
signal from the RVs, we found the lower bound on the lifetime of a previously
identified large spot group on the surface of the star to be at least 5.1
years. A $\sim5$ year lower limit is a long, but not unprecedented, duration
for a single spot group. The later epoch data indicate significant spot
evolution has occurred, placing an upper bound on the spot group lifetime at 12
years. We find that pre-main sequence evolutionary models for the age of Taurus
($\sim2$ Myr), combined with component mass estimates from the literature,
permit us to reproduce the HST relative photometry and the binary-induced
contribution to the apparent RV variations. The long-lived star spot we find on
Hubble 4 has significant implications for dynamo models in young stars, as it
adds evidence for long lifetimes of magnetic field topologies. There are also
significant implications for young star exoplanet searches as long-lived
coherent RV signals may be spot-induced and not the result of planetary motion.
(This paper includes data taken at The McDonald Observatory of The University
of Texas at Austin.)
