Extending the Jump Analysis for Aerodynamic Asymmetry

Report No. ARL-TR-3265
Authors: Gene R. Cooper
Date/Pages: August 2004; 26 pages
Abstract: The linear theory for spinning projectiles was extended to account for aerodynamic asymmetry of a free-flight projectile with varying roll rate. Assuming roll is caused by differentially canted controls allowed the rolling motion to be governed by two parameters. Aerodynamic jump resulting from the asymmetry was studied as a function of these parameters and was found to be represented in closed form by using confluent hypergeometric functions. A simple rational approximation is given and compared, to the closed-form solution, over a pertinent range of the governing parameters. Inquiries regarding jump due to asymmetry are addressed and compared to previous results which are limited in their formulation since the closed-form solution was apparently unknown.
Distribution: Approved for public release
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Last Update / Reviewed: August 1, 2004