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Analytical Solutions for Planet-scattering Small Bodies

  • Authors: Yukun Huang, 宇坤 黄, Brett Gladman, Eiichiro Kokubo, 英一郎 小久保

Yukun Huang et al 2026 The Astronomical Journal 171 .

  • Provider: AAS Journals

Caption: Figure 11.

Function w(U) in Equation (68), computed from ﹩\sqrt{2}-1﹩ to ﹩\sqrt{2}+1﹩. These boundaries are where an intersecting particle cannot be ejected and one where it would initially be hyperbolic, respectively. A maximum ﹩{w}_{{\rm{\max }}}={2}^{3/4}﹩ is reached at ﹩{U}_{\infty }=1/\sqrt{3}﹩. The function drops to zero at both boundaries.

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