Evolution of the binding energy and angular momentum of two planets that reached e >  0.95. Values are normalised to the initial orbit of the planet (black dot). We also show constant-eccentricity curves spaced in intervals of Δe = 0.05, except we show e = 0.99 instead of e = 1. The orange trajectory follows a planet whose semimajor axis increased from 7.3 to 395 AU, while its angular momentum dropped by only 30%. The green trajectory is for a planet that in fact gained binding energy, but lost 84% of its angular momentum. For clarity, only the first 1 Myr is shown. The final eccentricities shown are 0.996 and 0.959, respectively.