The Geometry of a Satellite-Ballistic Misile Engagement

Abstract

This note describes in mathematical terms the dynamic geometry between a constellation of satellites deployed for ballistic missile defense (BMD) and the missiles the satellites are engaging. Formulas, readily translatable into computer code, are given for such engagement parameters as slant range, closing velocity, and line-of-sight incidence angle in terms of satellite and missile position and velocity data. These formulas are the foundation of a model developed at Rand to support study of the BMD capability of various satellite armament concepts.

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Document Details

Document Type
Technical Report
Publication Date
Feb 01, 1988
Accession Number
ADA191982

Entities

People

  • Michael D. Miller

Organizations

  • RAND Corporation

Tags

Communities of Interest

  • Space

DTIC Thesaurus Topics

  • Altitude
  • Artificial Satellites
  • Ballistic Missiles
  • Boost Phase
  • Coordinate Systems
  • Elevation
  • Latitude
  • Line Of Sight
  • Longitude
  • National Security
  • Orbits
  • Satellite Constellations
  • Satellite Orbits
  • Slant Range
  • Spacecraft Orbits
  • Strategic Defense Initiative
  • Trajectories

Readers

  • Calculus or Mathematical Analysis
  • Geodesy
  • Missile Defense Systems.

Technology Areas

  • Space
  • Space - Orbital Debris
  • Space - Satellites