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Geometry of motion and nutation stability of free axisymmetric variable mass systems

Nanjangud, Angadh (2018) Geometry of motion and nutation stability of free axisymmetric variable mass systems Nonlinear Dynamics, 94 (3). pp. 2205-2218.

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In classical mechanics, the ‘geometry of motion’ refers to a development to visualize the motion of freely spinning bodies. In this paper, such an approach of studying the rotational motion of axisymmetric variable mass systems is developed. An analytic solution to the second Euler angle characterizing nutation naturally falls out of this method, without explicitly solving the nonlinear differential equations of motion. This is used to examine the coning motion of a free axisymmetric cylinder subject to three idealized models of mass loss and new insight into their rotational stability is presented. It is seen that the angular speeds for some configurations of these cylinders grow without bounds. In spite of this phenomenon, all configurations explored here are seen to exhibit nutational stability, a desirable property in solid rocket motors.

Item Type: Article
Divisions : Faculty of Engineering and Physical Sciences > Electronic Engineering
Authors :
Date : 26 July 2018
DOI : 10.1007/s11071-018-4485-6
Copyright Disclaimer : © The Author(s) 2018 Open Access This article is distributed under the terms of the Creative Commons Attribution 4.0 International License (, which permits unrestricted use, distribution, and reproduction in any medium, provided you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made.
Uncontrolled Keywords : Mass variation; Spacecraft attitude dynamics; Classical mechanics
Depositing User : Clive Harris
Date Deposited : 19 Oct 2018 11:27
Last Modified : 17 Dec 2018 16:02

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