Astronomy and Astrophysics – Astronomy
Scientific paper
Apr 2012
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2012cemda.tmp...19k&link_type=abstract
Celestial Mechanics and Dynamical Astronomy, Online First
Astronomy and Astrophysics
Astronomy
Tethered Satellites, Symplectic Numerical Integration, Mathematical Modelling, Regularized Model, Bending Effects
Scientific paper
In this paper the importance of the ill-posedness of the classical, non-dissipative massive tether model on an orbiting tether system is studied numerically. The computations document that via the regularisation of bending resistance a more reliable numerical integrator can be produced. Furthermore, the numerical experiments of an orbiting tether system show that bending may introduce significant forces in some regions of phase space. Finally, numerical evidence for the existence of an almost invariant slow manifold of the singularly perturbed, regularised, non-dissipative massive tether model is provided. It is also shown that on the slow manifold the dynamics of the satellites are well-approximated by the finite dimensional slack-spring model.
Kristiansen Uldall K.
Palmer P. L.
Roberts Randy Mark
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