Well, your "bouncing" planet only occurrs w/ point-like planets and sun which can pass through each other, so it's understandable that that is not normally considered. Any eccentricity zero orbit w/ non zero perihelion we'll be an escaping parabolic path. On Thu, Dec 26, 2019, 13:21 Bill Gosper <billgosper@gmail.com> wrote:
Here are 9 co-periodic planets <http://gosper.org/9planets.gif>. Shades of Shoemaker Levy 9. The string appears to periodically develop an inflection. —rwg I always thought that orbits with unit eccentricity were unbounded parabolas. Counterexample(?): Radial trajectories.
On Thu, Dec 26, 2019 at 3:03 AM Bill Gosper <billgosper@gmail.com> wrote:
The orbital period of a planet depends only on its major axis. gosper.org/4planets.gif . Does anybody feel like proving that with this phasing, these planets are collinear only twice per period? —rwg
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