Methods for Generating Aircraft Trajectories

Abstract

Methods for generating three dimensional aircraft trajectories necessary for quantitatively assessing aircraft tactics are documented in this report. Elements conventionally used in modeling aircraft motion are assembled to form a model governing aircraft translation, fuel use, and attitude. Assumptions on the functional dependence of the aircraft external forces and specific fuel consumption result in a system of seven equations and eleven variables governing aircraft trajectories. To provide flexibility in prescribing aircraft trajectories, the problem of solving the equations is formulated for five separate sets of known variables. These sets include variables defining aircraft controls, velocity attitude, and velocity magnitude. Extensions to the problem formulations allow flight path normal acceleration to be prescribed, also. A method to prescribe known variables is presented that ensures continuous aircraft acceleration and angular velocity. Numerical integration, finding roots of equations, and interpolation of function values are required to solve the trajectory generation problems. Application of selected algorithms for numerical solution of the equations is discussed. (Author)

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Document Details

Document Type
Technical Report
Publication Date
Sep 01, 1982
Accession Number
ADA122386

Entities

People

  • David B. Quanbeck

Organizations

  • Center for Naval Analyses

Tags

Communities of Interest

  • Air Platforms
  • Weapons Technologies

DTIC Thesaurus Topics

  • Aerodynamic Forces
  • Aircraft Equipment
  • Aircrafts
  • Algorithms
  • Angular Motion
  • Business Administration
  • Coordinate Systems
  • Differential Equations
  • Equations
  • Equations Of Motion
  • Jet Aircraft
  • Mach Number
  • Mathematical Models
  • Navy
  • Physics
  • Turbofan Engines
  • Turbojet Engines

Readers

  • Adaptive Control and Estimation with Uncertainty in Dynamic Systems.
  • Aviation Science / Aeronautics.
  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)

Technology Areas

  • Space
  • Space - Spacecraft Maneuvers