Asteroid tetrahedron shape models from spud data

摘要

Gravitational potentials considering a body to be a sphere or an ellipsoid appear quite commonly in literature. To extract science from asteroids, the latter are treated as point-masses or ellipsoids. A closed form solution for gravitational potential of a tetrahedral-shaped body has appeared recently although in geophysical context. In this paper, me show how to obtain a tetrahedral shape model for an asteroid from a spud model which gives the radius of the asteroid at different locations on the asteroid, For the benefit of readers me give complete and explicit coding to create the shape model. [References: 3]