Method of Deployment of a Tethered Space System Along the Local Vertical

Zakrzhevskii, A. E.

doi:10.1007/s10778-015-0724-4

Cited by 4 publications

(4 citation statements)

References 14 publications

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“…Thus, one can use eight conditions (4), ( 5), ( 14), (15), and ( 16) for the construction of the program law ( ) t  . One can obtain various laws ( ) L t of change of the tether length setting various values of the parameter T f .…”

Section: ( )mentioning

confidence: 99%

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Feed-forward control of total retrieval of the space tether from vertical position

Алпатов¹,

Wang²,

Zakrzhevskii³

2021

Kosm. nauka tehnol.

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This paper presents the results of studies of the feasibility of total and safe retrieval of a space tether of two bodies connected by an elastic, massless cable. The purpose of the research is to build up the control for the mode of the total and safe retrieval of the tether, which is one of the basic modes of its functioning. It allowed the development of the feed-forward control of the tether length or tension that provides demanded change of the angular momentum of the tether under the effect of the gravitational torque. The novelty of the research results consists also in the novel approach to the control of underactuated mechanical systems, which have the number of the control channels less than their degrees of freedom. Here the constraints on the tether angular motion relative to the pitch axis are introduced. They reduce the number of the system degrees of freedom and allow realizing the necessary mode of motion. For this control, only the remaining degree of freedom is used. The numerical simulation of the effect of the mode parameters on the tether motion is carried out for the tether in the chosen ranges of the parameters. The numerical example demonstrates the simplicity of the application of the method in practice. Plots illustrate the analysis of the results.

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Section: ( )mentioning

confidence: 99%

“…Then using eight conditions ( 4), ( 5), ( 14), (15), and ( 16), one can obtain the system of linear algebraic equations of eight order WRT ( 0,1, ,7) i c i   , which have the unique solution in the case under consideration. This solution is:…”

Section: ( )mentioning

confidence: 99%

Feed-forward control of total retrieval of the space tether from vertical position

Алпатов¹,

Wang²,

Zakrzhevskii³

2021

Kosm. nauka tehnol.

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“…In recent years, much interest has been given to the modeling and/or simulation of tethered systems, where the dynamics of interconnected bodies is studied (see, e.g. [26,41,24,25,43,44,40,42,2,32,33]). It turns out that the underlying dynamics is often described by a Hamiltonian system, for which the total energy is conserved.…”

Section: Introductionmentioning

confidence: 99%

Arbitrarily high-order energy-conserving methods for Hamiltonian problems with quadratic holonomic constraints

Amodio¹,

Brugnano²,

Frasca-Caccia³

et al. 2022

Preprint

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“…Sun and Zhu developed a new fractional-order tension control law to deploy a space tether fast and stable [9]. Zakrzhevskii proposed a tether length control law based on the changeof-angular-momentum theorem to deploy a tethered space system along the local vertical [10]. Fruitful results of the dynamic and control of TSS have been obtained from the theoretical analyses, numerical and experimental validations.…”

Section: Introductionmentioning

confidence: 99%

Effects of Separation Strategy on Deployment of Multitethered Chain-Type Satellite System

Zhang

2016

Mathematical Problems in Engineering

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This paper investigates the effects of separation strategy and parameters related to deployment on the dynamic behavior of multitethered chain-type satellite system. The system, including several satellites connected by tethers which are considered as massless and straight, is modeled as an extension of a two-body dumbbell tethered system. The dynamic equations of system in absence of perturbations and external disturbances are derived using Newtonian Method. To observe the effect of deployment rate on the motion of system, a parametric analysis of the deployment of a three-body tethered system with different deployment rates is carried out. Moreover, a four-body tethered system is used to investigate the effect of separation strategies on the dynamic behavior of system during the deployment phase. The numerical results suggest that the system with simultaneous separation costs less time to complete the deployment. If the ratio of deployment rates is in consistence with that of their desired lengths, the tethers deployed simultaneously would have a synchronous motion. It is also observed that the system employing separation bolt has a better performance than the system separated by spring mechanism since the larger separation velocity which is not along local vertical may cause a rotation.

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Method of Deployment of a Tethered Space System Along the Local Vertical

Cited by 4 publications

References 14 publications

Feed-forward control of total retrieval of the space tether from vertical position

Feed-forward control of total retrieval of the space tether from vertical position

Arbitrarily high-order energy-conserving methods for Hamiltonian problems with quadratic holonomic constraints

Effects of Separation Strategy on Deployment of Multitethered Chain-Type Satellite System

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