Quarterly of Applied Mathematics

Quarterly of Applied Mathematics

Online ISSN 1552-4485; Print ISSN 0033-569X



On the apsidal limits of a rolling missile

Authors: P. C. Rath and A. V. Namboodiri
Journal: Quart. Appl. Math. 36 (1978), 1-17
DOI: https://doi.org/10.1090/qam/99641
MathSciNet review: QAM99641
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Abstract: It is proved that a rolling missile whose initial angular oscillations are nonlinear will have the same librations as its equivalent common top provided that $ q > 0$ and $ {Z_1} + {Z_4} \le - 2$ where $ q$ is certain aerodynamic parameter contained in the nonlinear overturning moment of the missile and $ {Z_1}$, $ {Z_4}$ are respectively the least negative and the largest positive zeros of a certain quartic polynomial.

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DOI: https://doi.org/10.1090/qam/99641
Article copyright: © Copyright 1978 American Mathematical Society

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