Dynamic analysis of a tethered satellite system with a moving mass

Jung, Wonjin; Mazzoleni, Andre P.; Chung, Jintai

doi:10.1007/s11071-013-1064-8

Cited by 59 publications

(19 citation statements)

References 16 publications

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“…The study of planar oscillations for a satellite under the gravity field generated by a point of mass has been extensively developed in the classical literature [16,17]. To deal with, both Lagrangian and Hamiltonian formulations for such dynamics become the main tools considered in the formulation of that problem [1].…”

Section: Introductionmentioning

confidence: 99%

On the dynamics of planar oscillations for a dumbbell satellite in $$\varvec{J_{2}}$$ J 2 problem

2015

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In the present paper, we study regular and chaotic dynamics from planar oscillations of a dumbbell satellite under the influence of the gravity field generated by an oblate body, considering the effect of the zonal harmonic parameter J 2 . We theoretically show the existence of chaotic oscillations provided that the eccentricity becomes arbitrarily small, and the parameter J 2 is of the same order of magnitude as the eccentricity. This is carried out by applying the so-called Melnikov method. Finally, for arbitrarily chosen values for the parameters involved in such a problem, we study the transition from regular to chaotic oscillations for a dumbbell satellite via the analysis of chaotic maps and Poincaré surfaces of section, respectively.

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Section: Introductionmentioning

confidence: 99%

On the dynamics of planar oscillations for a dumbbell satellite in $$\varvec{J_{2}}$$ J 2 problem

2015

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“…Hu et al presented the theoretical and experimental studies of the deployment and retrieval control of a TSS, and the ideas of online optimization and receding horizon control were applied to design a feedback controller for the TSS [8]. Jung et al presented a dynamic analysis of a TSS with a moving mass based on a two-piece dumbbell model, where the moving mass is conveyed between two satellites along a straight massless tether [9]. The same authors analyzed the nonlinear dynamic behavior of deployment and retrieval of a three-body TSS on a variable-radius orbit, and the system is modeled as a two-piece dumbbell model with six degrees of freedom, which consists of three point masses and two straight massless tethers [10].…”

Section: Introductionmentioning

confidence: 99%

Dynamics and Control of a Tethered Satellite System Based on the SDRE Method

Kuo

2016

International Journal of Aerospace Engineering

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This paper presents the nonlinear dynamic modeling and control of a tethered satellite system (TSS), and the control strategy is based on the state-dependent Riccati equation (SDRE). The TSS is modeled by a two-piece dumbbell model, which leads to a set of five nonlinear coupled ordinary differential equations. Two sets of equations of motion are proposed, which are based on the first satellite and the mass center of the TSS. There are two reasons to formulate the two sets of equations. One is to facilitate their mutual comparison due to the complex formulations. The other is to provide them for different application situations. Based on the proposed models, the nonlinear dynamic analysis is performed by numerical simulations. Besides, to reduce the convergence time of the librations of the TSS, the SDRE control with a prescribed degree of stability is developed, and the illustrative examples validate the proposed approach.

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“…The model assumed for SE in [20,21] was a rigid ribbon, which included libration of SE, but did not consider bending at the climber position, although bending occurs for a flexible tether because of the Coriolis force. Instead of the rigid ribbon model, more suitable models for treating bending of tether at the climber position are two bar model [22][23][24][25], three-bar model [26], and multibody model [27,28]. Kojima et al [24] studied the effect of climber moving constant velocity on the dynamic behavior of a two-bar modelled TSS.…”

Section: Introductionmentioning

confidence: 99%

“…Kojima et al [24] studied the effect of climber moving constant velocity on the dynamic behavior of a two-bar modelled TSS. Jung et al [25] studied the effects of the mass ratio, climber velocity and tether length on the dynamic behavior of a two-bar modelled TSS. Williams [28] studied the effects of climber moving velocity on the dynamic behavior of a flexible tether.…”

Section: Introductionmentioning

confidence: 99%