Hit-to-Kill Guidance Algorithm for the Interception of Ballistic Missiles During the Boost Phase

Abstract

A near-optimal guidance law has been developed using the direct method of calculus of variations that maximizes the kinetic energy transfer from a surface-launched missile upon interception to a ballistic missile target during the boost phase of flight. Mathematical models of a North Korean Taep'o-dong II (TD-2) medium-range ballistic missile and a Raytheon Standard Missile 6 (SM-6) interceptor are used to demonstrate the guidance law's performance. This law will utilize the SM-6 s onboard computer and active radar sensors to independently predict an intercept point, solve the two-point boundary value problem, and determine a near-optimal flight path to that point. Determining a truly optimal flight path would require significant computing power and time, while a near-optimal flight path can be calculated onboard the interceptor and updated in real time without significant changes to the interceptor s hardware. That near-optimal guidance path is then converted into a set of command functions and fed back into the control computer of the interceptor. By modifying the second and third derivatives of the two-point boundary value problem, the intercept conditions can be varied to study their effects upon the optimal flight path regarding the maximization of kinetic energy upon impact.

Open PDF

Document Details

Document Type
Technical Report
Publication Date
Jun 01, 2006
Accession Number
ADA457566

Entities

People

  • John A. Lukacas Iv

Organizations

  • Naval Postgraduate School

Tags

Communities of Interest

  • Weapons Technologies

DTIC Thesaurus Topics

  • Ballistic Missiles
  • Boundary Value Problems
  • Calculus Of Variations
  • Cartesian Coordinates
  • Computational Science
  • Control Surfaces
  • Defense Systems
  • Differential Equations
  • Energy Transfer
  • Flight Paths
  • Geometry
  • Grids
  • Guidance
  • Intercontinental Ballistic Missiles
  • Navigation
  • Rockets
  • World Geodetic System

Readers

  • Missile Defense Systems.
  • Operations Research

Technology Areas

  • Space
  • Space - Spacecraft Maneuvers