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Erschienen in:
2011 | OriginalPaper | Buchkapitel
A Canonical Form of Euler'S Equations and a Method of Solution for Arbitrary Applied Couples
verfasst von : H. L. Price, G. R. Walsh
Erschienen in: Stereodynamics
Verlag: Springer Berlin Heidelberg
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The problem considered is that of the angular motion of a rigid body solely under the action of arbitrary time-variant couples applied about each of the three principal axes of inertia. A problem falling into this category is the control of an aircraft at high altitude when the aerodynamic damping is neglected, or alternatively the manoeuvring of a space vehicle in vacuo by the application of jet reaction couples.
The basic approach is to reduce the standard equations of motion by appropriate change of variables to a non-dimensional form in which none of the moments of inertia appears explicitly. The clarity of the resulting equations leads to the recognition of integrating factors that enable the motion to be calculated entirely by means of quadratures.