Modeling and numerical simulation of linear and nonlinear spacecraft attitude dynamics and gravity gradient moments: A comparative study

► Spacecraft attitude dynamics and gravity gradient moments are modeled in two forms of linear and using Euler angles. ► By using numerical simulation a comparative study is presented such that it is useful for practical application. ► We show that designer should be careful about using the linear o...

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Veröffentlicht in:Communications in nonlinear science & numerical simulation Jg. 17; H. 2; S. 1065 - 1084
Hauptverfasser: Navabi, M., Nasiri, N., Dehghan, Mehdi
Format: Journal Article
Sprache:Englisch
Veröffentlicht: Elsevier B.V 01.02.2012
Schlagworte:
Approximation
Dynamic tests
Gravitation
Gravity gradient moment
Linear and nonlinear modeling
Mathematical analysis
Mathematical models
Nonlinear dynamics
Nonlinearity
Numerical simulation
Spacecraft
Spacecraft attitude dynamics
Numerical simulation
Gravity gradient moment
Spacecraft attitude dynamics
Linear and nonlinear modeling
ISSN:1007-5704, 1878-7274
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Abstract ► Spacecraft attitude dynamics and gravity gradient moments are modeled in two forms of linear and using Euler angles. ► By using numerical simulation a comparative study is presented such that it is useful for practical application. ► We show that designer should be careful about using the linear or nonlinear forms of spacecraft attitude equations especially in low earth orbits. ► In this way one may find an upper bound for value of small angle term which the linear model is valid. ► The designer or control engineer must find a value of small angle by according to desired accuracy. In this paper linear and nonlinear models of spacecraft attitude dynamics equations and gravity gradient moments are investigated. In addition, effects of gravity gradient moments on attitude dynamics of the satellite are studied. The purpose of this paper is to present a comparison between nonlinear and linear models of spacecraft attitude dynamics and gravity gradient moments in order to determine divergence of linear approximation from the nonlinear model. Simulation results indicate that designer of spacecraft attitude control subsystem should be meticulous in applying linear approximation of equations especially in low earth orbits. Consequently, finding an upper bound for small angle to keep the linear model valid and precise enough would be a vital part of using linear approximation. Results supported by numerical examples demonstrate various features of this study.
AbstractList In this paper linear and nonlinear models of spacecraft attitude dynamics equations and gravity gradient moments are investigated. In addition, effects of gravity gradient moments on attitude dynamics of the satellite are studied. The purpose of this paper is to present a comparison between nonlinear and linear models of spacecraft attitude dynamics and gravity gradient moments in order to determine divergence of linear approximation from the nonlinear model. Simulation results indicate that designer of spacecraft attitude control subsystem should be meticulous in applying linear approximation of equations especially in low earth orbits. Consequently, finding an upper bound for small angle to keep the linear model valid and precise enough would be a vital part of using linear approximation. Results supported by numerical examples demonstrate various features of this study.
► Spacecraft attitude dynamics and gravity gradient moments are modeled in two forms of linear and using Euler angles. ► By using numerical simulation a comparative study is presented such that it is useful for practical application. ► We show that designer should be careful about using the linear or nonlinear forms of spacecraft attitude equations especially in low earth orbits. ► In this way one may find an upper bound for value of small angle term which the linear model is valid. ► The designer or control engineer must find a value of small angle by according to desired accuracy. In this paper linear and nonlinear models of spacecraft attitude dynamics equations and gravity gradient moments are investigated. In addition, effects of gravity gradient moments on attitude dynamics of the satellite are studied. The purpose of this paper is to present a comparison between nonlinear and linear models of spacecraft attitude dynamics and gravity gradient moments in order to determine divergence of linear approximation from the nonlinear model. Simulation results indicate that designer of spacecraft attitude control subsystem should be meticulous in applying linear approximation of equations especially in low earth orbits. Consequently, finding an upper bound for small angle to keep the linear model valid and precise enough would be a vital part of using linear approximation. Results supported by numerical examples demonstrate various features of this study.
Author Nasiri, N.
Dehghan, Mehdi
Navabi, M.
Author_xml – sequence: 1
  givenname: M.
  surname: Navabi
  fullname: Navabi, M.
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  organization: Faculty of New Technologies Engineering, Shahid Beheshti University, G.C., Tehran, Iran
– sequence: 2
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  surname: Nasiri
  fullname: Nasiri, N.
  organization: Faculty of New Technologies Engineering, Shahid Beheshti University, G.C., Tehran, Iran
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  givenname: Mehdi
  surname: Dehghan
  fullname: Dehghan, Mehdi
  email: mdehghan@aut.ac.ir, mdehghan.aut@gmail.com
  organization: Department of Applied Mathematics, Faculty of Mathematics and Computer Sciences, Amirkabir University of Technology, 424, Hafez Ave., Tehran, Iran
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Cites_doi 10.1016/j.actaastro.2004.05.066
10.1016/S1007-5704(97)90033-2
10.1016/S1270-9638(00)86968-0
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Keywords Numerical simulation
Gravity gradient moment
Spacecraft attitude dynamics
Linear and nonlinear modeling
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Snippet ► Spacecraft attitude dynamics and gravity gradient moments are modeled in two forms of linear and using Euler angles. ► By using numerical simulation a...
In this paper linear and nonlinear models of spacecraft attitude dynamics equations and gravity gradient moments are investigated. In addition, effects of...
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SubjectTerms Approximation
Dynamic tests
Gravitation
Gravity gradient moment
Linear and nonlinear modeling
Mathematical analysis
Mathematical models
Nonlinear dynamics
Nonlinearity
Numerical simulation
Spacecraft
Spacecraft attitude dynamics
Title Modeling and numerical simulation of linear and nonlinear spacecraft attitude dynamics and gravity gradient moments: A comparative study
URI https://dx.doi.org/10.1016/j.cnsns.2011.06.035
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