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Dec 24, 2019 at 2:06 comment added uhoh @LeoS yep! I avoided that in the simulation (see the comment make the result odd to avoid singularity). The simulation doesn't know about atmospheres, but it would blow up because the "planet" in the simulation is a point source of gravity. Slightly related: What's the eccentricity of an orbit (trajectory) falling straight down towards the center?
Dec 24, 2019 at 1:56 comment added Sergiy Lenzion Nice graphics! Visualisation always helps a lot in understanding. It seems if angle between velocity vector and x axis (directed to the right in your plots) is approaching zero, at some very very small but non zero angle, the ellips shape on its left side would "touch" the physical boundary of the planet; and when the angle is decreased further, the planet boundary would geometrically "protrude outside" the squashed ellips shape, which means that the orbit is not possible due to either aero- or lithobraking.
Dec 9, 2019 at 12:19 history answered uhoh CC BY-SA 4.0