Precise striking is a core capability of armed helicopters. Predicting the downwash effect, which is the interaction between the rotor wake and the launched rocket, is key to achieving precise striking capability, and many researches have been conducted in this regard. However, it is still imperative to predict the downwash effect considering that external winds induce a skewed rotor wake, which can alter the downwash effect. This study aims to develop a novel algorithm to investigate the downwash effects imposed on the rocket under the circumstances of helicopter downwash due to external wind. Using the actuator model and 6DOF analysis, the trajectory variance due to the downwash effect is physically investigated based on aerodynamics and stability of the rocket. In addition, the range variance characteristics of the rocket are analyzed by considering the downwash effect caused by the skewed wake under various external wind conditions. It is concluded that a longer range of the iv rocket is obtained under rear wind than under calm wind because the downwash effect is more influenced by the skewed wake under the rear wind. In addition, the increase in the range is limited to a specific velocity of the rear wind due to the rocket acceleration.