Analysis of the impact of implementation methods of three-parameter approach to modeling the angular dynamics of movement of the aircraft

Authors: Lysikova V.S.
Published in issue: #11(28)/2018
DOI: 10.18698/2541-8009-2018-11-410
Category: Aviation and Rocket-Space Engineering | Chapter: Aircraft Dynamics, Ballistics, Motion Control
Keywords: aircraft dynamics, coordinate systems, Euler angles, direction cosine matrix, transition schemes between starting and associated coordinate systems, angular motion of the aircraft, three-parameter approach to modeling, mathematical description of the flight
Published: 04.12.2018

The article considers ways of implementing the three-parameter approach to modeling the angular dynamics of movement of the aircraft. It was made a comparison of aircraft, rocket and gyroscopic schemes for the transition between the starting and associated coordinate systems. It is revealed that the direction cosine matrixes are numerically equal to each other at each integration step, regardless of the choice of the transition scheme, provided that the initial conditions for each of the schemes are correctly recalculated; herewith the corners are not equal to each other. It is shown the impact of singular points on the result of modeling the angular movement of the aircraft. Recommendations on the use of a particular transition scheme were formed.

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