Periodicity and Stability of Tethered Satellite Systems-Part I: Circular Orbit Case

Details Periodicity and Stability of Tethered Satellite Systems-Part I: Circular Orbit Case Periodicity and Stability of Tethered Satellite Systems-Part I: Circular Orbit Case

May 2010

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2010aipc.1233..197g&link_type=abstract

PROCEEDINGS OF THE 2ND INTERNATIONAL SYMPOSIUM ON COMPUTATIONAL MECHANICS AND THE 12TH INTERNATIONAL CONFERENCE ON THE ENHANCEME

Mathematics

Dynamical Systems

Satellites, Artificial, Space Research, Nonlinear Dynamical Systems, Integral Equations, Artificial Earth Satellites, Astronomical And Space-Research Instrumentation, Numerical Simulations Of Chaotic Systems, Integral Equations

Scientific paper

Tethered satellite systems (TSSs) are becoming more widely used in space exploration and exploitation. In this analytical investigation, the criteria on the existence and uniqueness of periodic solutions for the TSSs are presented based on Mawhin's continuation theorem. In addition, the conditions on the global asymptotic stability for the equilibrium states of the TSSs are also addressed in accordance with the Lyapunov stability theorem.

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