Quarterly of Applied Mathematics

Quarterly of Applied Mathematics

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



Remarks on the inertia instability of a rolling missile

Author: Magnus Tideman
Journal: Quart. Appl. Math. 20 (1962), 1-11
MSC: Primary 70.99
DOI: https://doi.org/10.1090/qam/137336
MathSciNet review: 137336
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Abstract: Lyapunov's second method is applied to the question of stability when dynamic cross coupling is considered. The main result is a condition on the maximal non-symmetry that gives stable performance for any constant or non-constant angular velocity in roll. Methods are outlined for the treatment of some related questions.

References [Enhancements On Off] (What's this?)

  • [1] R. E. Bolz, Dynamic stability of a missile in rolling flight, J. Aeronaut. Sci. 19, No. 6, 395-403 (June 1952) MR 0048981
  • [2] W. M. Phillips, Effects of steady rolling on longitudinal and directional stability, NACA TN 1627, June 1948
  • [3] S. H. Murphy, Criteria for the generalized dynamic stability of a rolling symmetric missile, J. Aeronaut, sci. 24, 773-774 (1957) MR 0093104

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DOI: https://doi.org/10.1090/qam/137336
Article copyright: © Copyright 1962 American Mathematical Society

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