Abstract
The dynamical behaviour of a coorbital satellite ring is studied for 2≤N≤9 satellites, in terms of a simplified dynamical description, in which the motion is reduced to the separation angles between satellites. The number and stability of different kinds of stationary configurations is explored, revealing that equally spaced rings are not stable against small perturbations for N≤6, while for 2≤N≤8 there exists another, stable compact solution. Integrations of exact equations confirm these results. Moreover, the systems are found to display chaotic characteristics for a certain range of energy. The behaviour can be interpreted in terms of maximum velocity curves, defining the allowed region of the motion in the phase space.
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References
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© 1988 Kluwer Academic Publishers
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Salo, H., Yoder, C.F. (1988). Dynamics of Coorbital Satellite Rings. In: Valtonen, M.J. (eds) The Few Body Problem. Astrophysics and Space Science Library, vol 140. Springer, Dordrecht. https://doi.org/10.1007/978-94-009-2917-3_28
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DOI: https://doi.org/10.1007/978-94-009-2917-3_28
Publisher Name: Springer, Dordrecht
Print ISBN: 978-94-010-7813-9
Online ISBN: 978-94-009-2917-3
eBook Packages: Springer Book Archive