Could a planet or moon be egg-shaped? If so, would it rotate along it's longer or shorter axis? Click one axis button, observe. It's extremely fast rotation defies gravity a bit with centripetal force.
When gravity is the main force, it would be a sphere, but Haumea's rotation is so fast, it bulges along it's equator, resisting the simple gravitational forces. I made the rotating image in Blender. There are several recently discovered egg-shaped planets, Haumea (discovered 2004) is an egg-shaped dwarf planet, and WASP 12b (discovered 2008). Which axis would these rotate on? If a mass of matter is big enough, gravity forms it into a sphere. Haumea is a dwarf planet but big enough for a spherical shape to form. Yet it formed an egg-shape instead, likely due to it's very fast rotation, a full rotation every 4 hours. It rotates along the shorter axis, like an egg spinning on a table, so fast that it stretched out. Bonus question: What solar system planets make good Easter eggs?