Chaotic motion of a cylindrical body during contactless transportation from MEO to LEO by ion beam
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ORIGINAL PAPER
Chaotic motion of a cylindrical body during contactless transportation from MEO to LEO by ion beam Vladimir Aslanov · Alexander Ledkov · Mikhail Konstantinov
Received: 18 January 2020 / Accepted: 13 July 2020 © Springer Nature B.V. 2020
Abstract The attitude dynamics of a cylindrical body under the action of an ion beam generated by the lowthrust engine of an active spacecraft is studied. The aim of the work is the analysis of chaotic and regular attitude motion of the body during contactless transportation. The eccentricity of the orbit could cause chaotic motion of the system. A simplified mathematical model, which describes the motion of a cylinder under the action of an ion beam, was developed. A bifurcation diagram was constructed. It allows judgment of the number and type of singular points of the phase portrait of an unperturbed system depending on the ratio between gravitational and ionic influences. An analysis of the chaotic motion was carried out using Poincare sections and Lyapunov exponents. It shows that in the process of contactless transportation from MEO to LEO, the cylinder can become uncontrollable from the oscillation motion mode to the rotation mode. The orientation of the body in the ion beam affects the magnitude and direction of the ion beam force vector; thus, the body V. Aslanov (B) · M. Konstantinov Moscow Aviation Institute (National Research University), 4, Volokolamskoe Shosse, A-80, GSP-3, Moscow, Russia 125993 e-mail: [email protected] M. Konstantinov e-mail: [email protected] A. Ledkov Samara National Research University, 34, Moscovskoe Shosse, Samara, Russia 443086 e-mail: [email protected]
angular motion mode affects the time duration of the performed orbital maneuver and the magnitude of the required fuel. Keywords Chaos · Ion beam · Bifurcation · Attitude motion
1 Introduction In recent years, great attention has been paid to contactless transportation methods of passive space debris objects. Their main advantage is the ability to abandon the complex and dangerous operations of docking or mechanical capture of a passive object by an active spacecraft. Researchers are actively discussing several possible ways of contactless force transmission from one object to another: Coulomb interaction [3,22], ion beam [10,16,17], electromagnetic interaction [23,25], gravitational interaction [4,5], lasers [11,20,21]. This study examines the use of an ion beam for a passive object contactless transportation, considering its attitude motion. The situation is considered when an active spacecraft with ion thrusters approaches a passive rigid body. The spacecraft turns on the engine and directs the flow of ions toward the body. The spacecraft control system and other engines provide a constant distance to the blown body and constant focus on the body center of mass. The plasma plume particles collide with the surface of the body and create pressure on it. Thus, a
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contactless force transmission from the active spacecraft to the passive rigid body is achieved
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