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] Ray E. Bolz, Dynamic stability of a missile in rolling flight, J. Aeronaut. Sci. 19 (1952), 395–403. MR 0048981
  • [2] W. M. Phillips, Effects of steady rolling on longitudinal and directional stability, NACA TN 1627, June 1948
  • [3] Charles H. Murphy Jr., Criteria for the generalized dynamic stability of a rolling symmetric missle, J. Aero. Sci. 24 (1957), 773–774. 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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