Three-Degree-of-Freedom (DOF) Missile Trajectory Simulation Model and Comparative Study with a High Fidelity 6DOF Model


  1. Brochu, R.
  2. Lestage, R.
Corporate Authors
Defence R&D Canada - Valcartier, Valcartier QUE (CAN);Numerica Technologies Inc, Quebec City (QUE)
A 6-degree-of-freedom (DOF) missile trajectory simulation model has been reduced to a 3DOF model in order to minimize its calculation time. However, this had to be done without compromising the realism of the simulation. The modeling environment is Matlab/Simulink. Starting from a simple punctual mass in the 3-D space (Referenced as model 3DOF-0), three major improvements have brought this model to its final version (3DOF-3); namely, the missile orientation (β,α) with missile speed, the trim condition and the autopilot and airframe dynamics (or the linear acceleration time response). Each time the 3DOF model was upgraded, its accuracy was compared with a high fidelity 6DOF model, and new strategies were deployed to improve the prediction. The final 3DOF model version is simply the insertion of all these improvements into the preliminary version of the 3DOF model. Its level of accuracy and fidelity achieved is satisfactory. Indeed, the relative error between the 3DOF and 6DOF models for maximum range envelope calculations is 3% and 12% at altitudes of 1 and 15 km, respectively. Globally, the 3DOF model is approximately twice as fast compared with the 6DOF one. This can lead to interesting future developments.

Il y a un résumé en français ici.

Missile model;Missile simulation;Six-degrees-of-freedom simulation;Maximum range envelope;Missile engagement;Autopilot;Airframe;Trim;6DOF (Six degrees of freedom);Engagement scenarios
Report Number
DRDC-VALCARTIER-TM-2003-056 — Technical Memorandum
Date of publication
01 Dec 2003
Number of Pages
Hardcopy;CD ROM

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