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Approximate Solution to the Angular Speeds of a Nearly-Symmetric Mass-Varying Cylindrical Body

Nanjangud, Angadh and Eke, Fidelis (2016) Approximate Solution to the Angular Speeds of a Nearly-Symmetric Mass-Varying Cylindrical Body The Journal of the Astronautical Sciences, 64 (2). pp. 99-117.

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This paper examines the rotational motion of a nearly axisymmetric rocket type system with uniform burn of its propellant. The asymmetry comes from a slight difference in the transverse principal moments of inertia of the system, which then results in a set of nonlinear equations of motion even when no external torque is applied to the system. It is often difficult, or even impossible, to generate analytic solutions for such equations; closed form solutions are even more difficult to obtain. In this paper, a perturbation-based approach is employed to linearize the equations of motion and generate analytic solutions. The solutions for the variables of transverse motion are analytic and a closed-form solution to the spin rate is suggested. The solutions are presented in a compact form that permits rapid computation. The approximate solutions are then applied to the torque-free motion of a typical solid rocket system and the results are found to agree with those obtained from the numerical solution of the full non-linear equations of motion of the mass varying system.

Item Type: Article
Divisions : Faculty of Engineering and Physical Sciences > Electronic Engineering
Authors :
Eke, Fidelis
Date : 28 November 2016
DOI : 10.1007/s40295-016-0099-8
Copyright Disclaimer : © American Astronautical Society 2016
Uncontrolled Keywords : Spacecraft dynamics; Variable mass systems; Solid rocket motors
Depositing User : Clive Harris
Date Deposited : 17 May 2018 08:35
Last Modified : 16 Jan 2019 19:09

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