Purely theoretically, if there were very massive celestial bodies which were not spherical, how would their gravitational warping be? Which shapes would the geodesical paths around them have? Would they still be elliptical orbits or would they have sudden changes of direction? Say for example, a huge massive cube, or huge a pyramid, a rod or a giant horseshoe? If a freefalling object would approach those and fall into orbit, which kind of path would it follow?