The interception of an ICBM at low altitude and in a short time requires hyperbolic speeds. At the acquisition time t0, if updated information about the trajectory of the target dictates a velocity correction for the interceptor, then it is of interest to assess the potential for interception. The reachable surface is defined as the boundary of the set of all attainable points at a given time t, for a fuel potential, conveniently expressed in terms of the Delta-v available. Properties of this surface are derived, and its mathematical characterization is obtained. As an application of the concept, a necessary condition for a successful interception of a target given in terms of a capture function is explicitly derived.
- Pub Date:
- Hyperbolic Trajectories;
- Intercontinental Ballistic Missiles;
- Armed Forces (United States);
- Defense Program;
- Low Altitude;