On the dynamics of a tethered satellite system | Zendy

LiSheng Wang | Zendy; Shuh -Jye Chern | Zendy; Chih -Wen Shih | Zendy

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On the dynamics of a tethered satellite system

Author(s) -

LiSheng Wang,

Shuh -Jye Chern,

Chih -Wen Shih

Publication year - 1994

Publication title -

archive for rational mechanics and analysis

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 2.933

H-Index - 106

eISSN - 1432-0673

pISSN - 0003-9527

DOI - 10.1007/bf00375018

Subject(s) - hamiltonian (control theory) , equilibrium point , hamiltonian system , satellite system , physics , string (physics) , symmetry (geometry) , complex system , satellite , classical mechanics , angular momentum , stability (learning theory) , basis (linear algebra) , mathematics , theoretical physics , computer science , quantum mechanics , geometry , nonlinear system , mathematical optimization , gnss applications , astronomy , artificial intelligence , machine learning

The Hamiltonian structure for a fundamental model of a tethered satellite system is constructed. The model is composed of two point masses connected by a string with no restrictions on the motions of the two masses. A certain symmetry with respect to the special orthogonal group SO(3) for such a system is observed. The classical station-keeping mode for the tethered system is found to be nothing more than the relative equilibrium corresponding to the reduction of the system by the symmetry. The microgravity forces on the two point masses are responsible for the possible configurations of the string at the so-called radial relative equilibrium. A stability analysis is performed on the basis of the reduced energy-momentum method. Criteria for stability are derived, which could find potential applications in space technology.

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