On the set of the equilibrium states of a model plane
by
Victoria Iordan
The West University of Timisoara
Coauthors: Marinel Iordan, Agneta M. Balint, Stefan Balint

In this paper, for the model plane considered in [1] and [2], a system of five algebraic equations is found (containing only state variables) which defines implicitly the equilibrium states of the vehicle (i.e. those states x for which there exists at least one set of values of the control surface angles such that x is a steady state for these angles). Using the system of these algebraic equations, it is shown that the set of the equilibrium states is an unbounded and closed set and locally, it is a two-dimensional manifold in R^7. For some desired flights (zero roll rate flights, level flights, descent flights, ascending flights) the corresponding sub-manifolds and the paths of control angles are found and a stability analysis is undertaken. References: [1] Hacker, T. and Oprisiu, C. – Discussion of the Roll-Coupling Problem, Progress in Aerospace Sciences, Vol.15, edited by D. Kuchermann, Pergamon, New York, 1974, pp.151-180 [2] Hacker, T. – Constant-Control Rolling Maneuver, Journal Guidance and Control, Vol.1, No.5, sept-oct. 1978

Date received: January 9, 2004

Copyright © 2004 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Conferences Inc. Document # cakt-22.