Trajectory Parameters and Miss Coefficients for Free-Fall Ballistic Trajectories

Abstract

It is assumed in the report that all trajectories are based upon an object being launched with an initial velocity at a specific launch angle. There is no powered flight. The earth is assumed to be spherical and non-rotating with a vacuum atmosphere. For any desired earth range there is an infinite family of trajectory paths which will give that range. The main parameter chosen to describe these different paths is the eccentricity of the elliptical trajectory. In the curves showing the trajectory results the eccentricity is chosen as the independent variable. The following trajectory parameters are plotted as a function of range and eccentricity: (a) initial launch velocity (b) initial launch angle (c) time of flight (d) error in range due to an error in the initial magnitude of the velocity when the launch angle is held fixed. (e) error in range due to an error in the velocity which is perpendicular to the initial velocity direction when the velocity magnitude is held fixed.

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Document Details

Document Type
Technical Report
Publication Date
Feb 28, 1958
Accession Number
AD0829606

Entities

People

  • J. Maughmer

Organizations

  • General Dynamics

Tags

Communities of Interest

  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Astronautics
  • Coefficients
  • Dynamics
  • Eccentricity
  • Energy
  • Equations
  • Export Controls
  • Government (Foreign)
  • Governments
  • Impact Point
  • Kinetic Energy
  • Launchers
  • Nautical
  • Potential Energy
  • Trajectories

Fields of Study

  • Physics

Readers

  • Electromagnetic Wave Scattering and Antenna Radiation Engineering
  • Fluid Dynamics.
  • Regression Analysis.