Abstract
In this chapter, we investigate the attitude dynamics of dumbbell and tether satellites. Both kinds of satellites are composed by two point-bodies connected through a massless rod that, in the dumbbell case, is assumed to be non extensible, while in the tether case the rod is assumed to be extensible and a spring-mass model is adopted. We analyze the attitude dynamics and the equilibrium solution for circular orbits. We also consider a simplified tether model, in which we include a dissipative term that takes into account the energy dissipation in the cable through a Rayleigh dissipation function.
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References
Celletti, A., Sidorenko, V.: Some properties of the dumbbell satellite attitude dynamics. Celest. Mech. Dyn. Astron. 101(1–2), 105–126 (2008)
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Sidorenko, V.V., Celletti, A.: A “Spring-mass” model of tethered satellite systems: properties of planar periodic motions. Celest. Mech. Dyn. Astron. 107(1–2), 209–231 (2010)
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Celletti, A. (2025). Dumbbell and Tether Models. In: Conservative and Dissipative Models of Celestial Mechanics. Springer Monographs in Mathematics. Springer, Cham. https://doi.org/10.1007/978-3-032-01866-3_13
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DOI: https://doi.org/10.1007/978-3-032-01866-3_13
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Publisher Name: Springer, Cham
Print ISBN: 978-3-032-01865-6
Online ISBN: 978-3-032-01866-3
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