Physical properties calculation of small body using points triangulations

This paper presents a simple and rapid algorithm for small body surface triangulations and physical properities calculation based on 3-D arbitrary points. In order to avoid destroying the original topology due to the non-convex boundary, the arbitrary points are first mapped on the unit sphere and then mapped on a 2-D plane to complete the triangular mesh generation. Based on this, the volume integral can be transformed into polyhedron vertex computation, and the processes of integral reduction using Green formula can be simplified by decomposing the polyhedron into a series of tetrahedrons. Thus the physical properties such as volume, surface aera, center of mass, moment of inertia, principal axis of intertia, gravitational potential, gravitational field intensity of the small body can be computed. Simulation shows the relationship between points number and the calculation accuracy as well as the correctness of the algorithm.