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Dynamics of single and multibody earth orbiting systems Sharma, Subhash Chander
Abstract
The thesis aims at studying the dynamics of single and multibody systems with a variety of spacecraft oriented applications including configuration control for an instrumentation payload deployed from a spacecraft, the Solar Satellite Power Station (SSPS), a Space Shuttle supported tethered payload, etc. The problem is approached in an increasing order of complexity. In the beginning librational dynamics and force distribution for an axisymmetric, gravity oriented, rigid configuration are considered. The governing nonlinear, nonautonomous and coupled equations of motion are analyzed using Butenin's variation of parameter approach in conjunction with the Poincare-type expansion method, and the validity of the solutions established through numerical integration. The closed-form character of the solutions proved useful in identifying periodic solutions and resonance characteristics of the system. Furthermore, they provided considerable insight into the system behaviour over a range of the orbital eccentricity, inertia parameter and initial disturbances. Application of the analysis is demonstrated through the Gravity Gradient Test Satellite (GGTS). Next, general equations of librational motion, force and moment are derived for an arbitrarily-shaped, rigid spacecraft and approximate closed-form solutions obtained for spinning and gravity oriented systems using the Poincare-type analysis. The approach yields useful information concerning response to external disturbances as affected by the system parameters. The method is applied to several configurations: Explorer XX, an instrument package deployed from the Space Shuttle and the SSPS. Finally, a general dynamical formulation for a triaxial multibody system, in a circular orbit, with an elastic interconnecting link in the form of a tether or a beam is developed. The highly complicated coupled, nonlinear, nonautonomous equations of motion are linearized and their exact solution presented. Also expressions for forces and moments required to orient an object in space are obtained. This analytical procedure is applied to several configurations of practical interest. Throughout, the emphasis is on evolving a general formulation of the problem and its acceptable solution. Numerical results are presented only to appreciate significant response characteristics of the system. The general character of the analysis should prove useful in studying the dynamics of a wide range of existing and future spacecraft.
Item Metadata
Title |
Dynamics of single and multibody earth orbiting systems
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Creator | |
Publisher |
University of British Columbia
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Date Issued |
1977
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Description |
The thesis aims at studying the dynamics of single and multibody systems with a variety of spacecraft oriented applications
including configuration control for an instrumentation payload deployed from a spacecraft, the Solar Satellite Power Station (SSPS), a Space Shuttle supported tethered payload, etc. The problem is approached in an increasing order of complexity.
In the beginning librational dynamics and force distribution
for an axisymmetric, gravity oriented, rigid configuration
are considered. The governing nonlinear, nonautonomous and coupled equations of motion are analyzed using Butenin's variation of parameter approach in conjunction with the Poincare-type expansion method, and the validity of the solutions established
through numerical integration. The closed-form character of the solutions proved useful in identifying periodic solutions
and resonance characteristics of the system. Furthermore, they provided considerable insight into the system behaviour over a range of the orbital eccentricity, inertia parameter and initial disturbances. Application of the analysis is demonstrated
through the Gravity Gradient Test Satellite (GGTS).
Next, general equations of librational motion, force and moment are derived for an arbitrarily-shaped, rigid spacecraft and approximate closed-form solutions obtained for spinning and gravity oriented systems using the Poincare-type analysis. The approach yields useful information concerning response to external disturbances as affected by the system parameters. The method is applied to several configurations: Explorer XX, an instrument package deployed from the Space Shuttle and the SSPS.
Finally, a general dynamical formulation for a triaxial multibody system, in a circular orbit, with an elastic interconnecting
link in the form of a tether or a beam is developed. The highly complicated coupled, nonlinear, nonautonomous equations
of motion are linearized and their exact solution presented. Also expressions for forces and moments required to orient an object in space are obtained. This analytical procedure is applied to several configurations of practical interest.
Throughout, the emphasis is on evolving a general formulation
of the problem and its acceptable solution. Numerical results are presented only to appreciate significant response characteristics of the system. The general character of the analysis should prove useful in studying the dynamics of a wide range of existing and future spacecraft.
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Genre | |
Type | |
Language |
eng
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Date Available |
2010-03-01
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Provider |
Vancouver : University of British Columbia Library
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Rights |
For non-commercial purposes only, such as research, private study and education. Additional conditions apply, see Terms of Use https://open.library.ubc.ca/terms_of_use.
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DOI |
10.14288/1.0081024
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URI | |
Degree | |
Program | |
Affiliation | |
Degree Grantor |
University of British Columbia
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Campus | |
Scholarly Level |
Graduate
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Aggregated Source Repository |
DSpace
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Item Media
Item Citations and Data
Rights
For non-commercial purposes only, such as research, private study and education. Additional conditions apply, see Terms of Use https://open.library.ubc.ca/terms_of_use.