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Arbitrary controlled re-orientation of a spinning body by evolving its tensor of inertia

Ostanin, Igor A. and Sperl, Matthias (2024) Arbitrary controlled re-orientation of a spinning body by evolving its tensor of inertia. Computer Physics Communications, 300 (109181), pp. 1-9. Elsevier. doi: 10.1016/j.cpc.2024.109181. ISSN 0010-4655.

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Official URL: https://doi.org/10.1016/j.cpc.2024.109181


Bodies with the nonspherical tensor of inertia (TOI) exhibit a variety of rotational motion patterns, including chaotic motion, stable periodic (quasi-periodic) rotation, unstable rotation around the direction close to the body's second principal axis, featuring a well-known tennis-racket (also known as Garriott-Dzhanibekov [1]) effect – series of seemingly spontaneous 180 degrees flips. These patterns are even more complex if the body's TOI is changing with time. Changing a body's TOI has been discussed recently as a tool to perform controllable Garriott-Dzhanibekov flips and similar maneuvers. In this work, the optimal control of the TOI of the body (spacecraft, or any other device that admits free rotation in three dimensions) is used as a means to perform desirable re-orientations of a body with respect to its angular velocity. Using the spherical TOI as the initial and final point of the maneuver, we optimize the parameters of the maneuver to achieve and stabilize the desired orientation of the body's principal axes with respect to spin angular velocity. It appears that such a procedure allows for finding arbitrarily complex maneuver trajectories of a spinning body. In particular, intermediate axis instability can be used to break the alignment of the body's principal axis and the axis of rotation. Such maneuvers do not require utilization of propellants and could be straightforwardly used for attitude control of a spin-stabilized spacecraft. The capabilities of such a method of angular maneuvering are demonstrated in numerical simulations.

Item URL in elib:https://elib.dlr.de/203504/
Document Type:Article
Title:Arbitrary controlled re-orientation of a spinning body by evolving its tensor of inertia
AuthorsInstitution or Email of AuthorsAuthor's ORCID iDORCID Put Code
Ostanin, Igor A.University of TwenteUNSPECIFIEDUNSPECIFIED
Sperl, MatthiasUNSPECIFIEDhttps://orcid.org/0000-0001-9525-0368156741950
Date:21 March 2024
Journal or Publication Title:Computer Physics Communications
Refereed publication:Yes
Open Access:Yes
Gold Open Access:No
In ISI Web of Science:Yes
Page Range:pp. 1-9
Keywords:Optimal control, Rigid body mechanics
HGF - Research field:Aeronautics, Space and Transport
HGF - Program:Space
HGF - Program Themes:Research under Space Conditions
DLR - Research area:Raumfahrt
DLR - Program:R FR - Research under Space Conditions
DLR - Research theme (Project):R - Model systems
Location: Köln-Porz
Institutes and Institutions:Institute of Materials Physics in Space
Deposited By: Sperl, Matthias
Deposited On:02 Apr 2024 08:41
Last Modified:02 Apr 2024 08:41

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