Modeling and Coupling Dynamics of the Spacecraft with Multiple Propellant Tanks

This paper is mainly focused on the modeling and coupling dynamics of the spacecraft with multiple propellant tanks. The dynamic boundary conditions on a curved, liquid, free surface under a low-gravity environment are transformed to general simple differential equations by using a Fourier–Bessel se...

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Bibliographic Details
Published in:AIAA journal 2016-11, Vol.54 (11), p.3608-3618
Main Authors: Baozeng, Yue, Wenjun, Wu, Yulong, Yan
Format: Article
Language:English
Subjects:
Boundary conditions
Coupling
Differential equations
Dynamics
Fourier series
Free surfaces
Liquid fuels
Liquid sloshing
Mathematical analysis
Mathematical models
Propellant tanks
Reaction wheels
Series expansion
Spacecraft
State vectors
Vectors (mathematics)
Wave height
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Summary:This paper is mainly focused on the modeling and coupling dynamics of the spacecraft with multiple propellant tanks. The dynamic boundary conditions on a curved, liquid, free surface under a low-gravity environment are transformed to general simple differential equations by using a Fourier–Bessel series expansion method, and the state vectors of coupled liquid-sloshing equations are composed by the modal coordinates of a relative potential function and the modal coordinates of the wave height. The overall coupled dynamic equations for the rigid platform motion and liquid fuel sloshing are subsequently obtained by means of Lagrange’s equations in terms of general quasi coordinates. The orbit thruster firing and attitude momentum wheel controller are applied to the coupled system to testify to the mathematical model and analyze the coupling dynamics of a coupled fluid–spacecraft system. MATLAB software is used for symbolic manipulation, coupling dynamics, and control simulations. Numerical simulations via computer are carried out to validate the model derived in this paper.
ISSN:0001-1452
1533-385X
DOI:10.2514/1.J055110