Abstract
In this paper, we consider a system of two bodies interacting gravitationally. One of them is spherically symmetric and the other is axially symmetric. In the full non-linear settings, this problem permits planar motion when the mass center of the spherically symmetric body moves in a plane containing the axis of symmetry of the second body. Such planar unrestricted problem was studied by Kokoriev and Kirpichnikov [7] with one additional specification. The authors assumed that the gravity field of the axially symmetric body is well approximated by the gravity field of two point masses lying in the axis of symmetry of the body. Such formulation gives rise to an amazingly interesting problem for analytical and numerical studies. For example, it gives completely different ideas about the number of relative equilibria in the problem of two rigid bodies. We will present a detailed discussion of the problem of Kokoriev and Kirpichnikov (for short, it will be called KK problem from hereafter) in our forthcoming paper [4].
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© 1999 Springer Science+Business Media Dordrecht
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Goździewski, K., Maciejewski, A.J. (1999). Special Version of the Three Body Problem. In: Steves, B.A., Roy, A.E. (eds) The Dynamics of Small Bodies in the Solar System. NATO ASI Series, vol 522. Springer, Dordrecht. https://doi.org/10.1007/978-94-015-9221-5_41
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DOI: https://doi.org/10.1007/978-94-015-9221-5_41
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