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from Part I - Potential Theory
Published online by Cambridge University Press: 28 May 2021
In this chapter, we introduce and solve (by means of the Laplace–Runge–Lenz vector) the two-body problem, with an emphasis on the properties of hyperbolic orbits, and specifically on the so-called slingshot effect. The obtained results will be used in Chapters 7 and 8 for the derivation of two fundamental timescales characterizing the dynamical evolution of stellar systems (i.e., the two-body relaxation time and dynamical friction time).
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