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English: The secular evolution of extreme transneptunian objects with semi-major axes of 250 AU under the influence of hypothetical Planet Nine. Green curves for meta-stable objects, red curves for aligned objects, blue curves for anti-aligned objects, orange curve for circulating objects. Arrows shows direction of evolution with time. Above black curve orbits intercept that of Planet Nine.
Date
Source I used Excel to roughly sketch curves of the Hamiltonian plotted in Figure 2 of Batygin and Morbidelli 2017
Author Agmartin based on data from Figure 2 of Batygin and Morbidelli 2017
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English: Curves are modeled on upper right part of Fig. 2 of Dynamical Evolution Induced by Planet Nine by Konstantin Batygin and Alessandro Morbidelli. https://arxiv.org/abs/1710.01804

I overlayed the curves from B&M 2017 after finishing this plot and determined that while they are similar they clearly do not match those in the diagram from B&M 2017.

Image is intended as an illustration to aid the description of the changes in the orbits of extreme transeptunian objects with time in first paragraph of Secular and resonant dynamics of extreme TNOs section of the Planet Nine article https://en.wikipedia.org/wiki/Planet_Nine#Secular_and_resonant_dynamics_of_extreme_TNOs

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Date/TimeThumbnailDimensionsUserComment
current15:08, 20 December 2017Thumbnail for version as of 15:08, 20 December 2017814 × 614 (60 KB)NagualdesignHand-drawn arrows → CG arrows. Altered whitespace.
20:01, 23 October 2017Thumbnail for version as of 20:01, 23 October 2017814 × 614 (51 KB)Agmartin{{subst:Upload marker added by en.wp UW}} {{Information |Description = {{en|The secular evolution of extreme transneptunian objects with semi-major axes of 250 AU under the influence of hypothetical Planet Nine. Green curves for meta-stable objects, re...

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