This paper adopts the polyhedron gravity modeling methodto calculate the surface gravitational acceleration of 433 Eros using the 3D polyhedron shape models of 433 Eros published by the Planetary Data System(PDS). The accuracy and operation time with different facets of the 3D polyhedron gravity model are also analyzed. The experiments show that the time complexity of polyhedron gravity model is O
). In the simulation of the guidance, navigation and controlfor landing on 433 Eros, using the shape model with 22 540-facetscan achieve a tradeoff between the computation rate and accuracy.Moreover, since the gravity acceleration can be computed in real-time, it can be used in the hardware-in-the-loop simulation.