Mantle, Peter J. (1964) Spinning symmetric missiles in a nonlinear aerodynamic field. Dissertation (Ph.D.), California Institute of Technology. http://resolver.caltech.edu/CaltechETD:etd-10012002-102742
The case of a spinning symmetric body flying at a constant speed where the aerodynamic restoring moment is an arbitrary function of the angle of attack is examined. The analysis is twofold: first, the general problem is discussed, in suitable nondimensional form, to establish the generalized stability boundaries and, second, the attention is directed to the inverse problem whereby the pertinent aerodynamic parameters are extracted from a given bounded solution, suitable for use in data reduction. The general case of non-planar motion is examined and shown to be analogous to the classical orbital problems, differing only in the form of the governing potential function. The general solution is obtained in integral form and the special cases of linear aerodynamics and cubic restoring moments have been integrated and studied to reveal all the pertinent characteristics. The various combinations of potential, initial conditions and angular momentum (including that due to the impressed spin rate) are shown to determine whether or not the motion is planar, circular, elliptic or non-conic; stable or unstable and the various cases are categorized to aid the prediction of the motion of spinning symmetrical bodies acting under non-linear aerodynamic restoring moments.
|Item Type:||Thesis (Dissertation (Ph.D.))|
|Degree Grantor:||California Institute of Technology|
|Division:||Engineering and Applied Science|
|Major Option:||Engineering and Applied Science|
|Thesis Availability:||Public (worldwide access)|
|Defense Date:||1 March 1964|
|Default Usage Policy:||No commercial reproduction, distribution, display or performance rights in this work are provided.|
|Deposited By:||Imported from ETD-db|
|Deposited On:||02 Oct 2002|
|Last Modified:||26 Dec 2012 03:03|
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