  Future generations of precise radial velocity (RV) surveys aim to achieve
sensitivity sufficient to detect Earth mass planets orbiting in their stars'
habitable zones. A major obstacle to this goal is astrophysical radial velocity
noise caused by active areas moving across the stellar limb as a star rotates.
In this paper, we quantify how stellar activity impacts exoplanet detection
with radial velocities as a function of orbital and stellar rotational periods.
We perform data-driven simulations of how stellar rotation affects planet
detectability and compile and present relations for the typical timescale and
amplitude of stellar radial velocity noise as a function of stellar mass. We
show that the characteristic timescales of quasi-periodic radial velocity
jitter from stellar rotational modulations coincides with the orbital period of
habitable zone exoplanets around early M-dwarfs. These coincident periods
underscore the importance of monitoring the targets of RV habitable zone planet
surveys through simultaneous photometric measurements for determining rotation
periods and activity signals, and mitigating activity signals using
spectroscopic indicators and/or RV measurements at different wavelengths.
