Boost phase analysis of a multi-stage ballistic missile

Initial velocity launch models are widely used for the research of mid-course or terminal phase of intercontinental ballistic missile flight. When investigating a boost phase intercept situation, however, these models are no longer valid due to the short flight time being processed. This paper presents a multi-stage boost phase model that includes a realistic examination of the missile acceleration, velocity and position characteristics. The simulation operates in an Earth centered three-dimensional Cartesian coordinate framework. The target is defined with a minimal set of parameters including stage total weights, propellant weights, specific impulses, and bum times. The net force acting on the body is continuously evaluated by computing two major forces, thrust and weight, and this in turn yields velocity and position data by integration. The effect of the Earth's gravity field is examined in detail. The simulation results for a ballistic target are compared to the theory by using the trajectory equation. Target velocity requirements to hit certain intercontinental distances are also examined as well as the resulting trajectories, velocity, staging, and mass versus flight time.