Top-shaped asteroids as Lens-shaped bodies

Several asteroids are known to be shaped like toy tops. This paper models Top-Shaped Asteroids (TSAs) as Homogeneous Symmetric Lenses (HSLs), and derives their rotational, self-gravitational, total energies functions of mass, density, angular momentum. Then we raise, test, ultimately reject the hypothesis that TSAs take shape lowest energy, subject constraint they keep same momentum, while remaining HSLs. Other processes must control shapes TSAs. For completeness, also describe a Core-Mantle Model for TSAs, well an Inverted Model, derive self-gravitational energies, along with rotational energies. The gravitational potential at center HSL then is derived.