<p>The need for higher artillery firepower and survivability in modern warfare has led to the emergence and evolution of mobile Multiple Launch Rocket Systems (MLRS). Such systems are vulnerable to serious dynamics during launch. As a consequence, launch dynamics is currently a crucial field of research for fully understanding the dynamic behavior of complex weapon systems, as well as improving firing accuracy and precision of artillery. Treating the entire MLRS as a multi-body one is the proper approach as far as launch dynamics are concerned. This paper presents a comprehensive study of the dynamic behavior of a wheeled rocket launcher as a multi-body system. Based on the transfer matrix method for multibody systems (TMM), a mathematical model representing the dynamics of a single-tube-wheeled rocket launcher is developed such that launcher motion is constrained to the elevation plane. The dynamic loads of the rocket motion applied on the launcher are considered. The validity of this model is confirmed by comparing the results with those obtained using the Lagrange approach from existing literature. Furthermore, the model is extended by increasing the number of tubes to simulate the dynamics of MLRS under different firing scenarios. The study examines the impact of time delay between successive launches. A parametric study is conducted to investigate the influence of launcher parameters on its dynamics and rocket trajectory. Additionally, a Monte Carlo simulation is performed to analyze the impact of uncertainty in those parameters on rocket dispersion. Results indicate that as the rate of fire increases, the launcher's tip-off angle also increases, negatively impacting artillery accuracy and may improve the artillery distribution.</p>