A dense mesh optimization method for accelerating electrostatic interaction computation of non-cooperative space targets

Computing electrostatic interaction on non-cooperative targets with unknown meshes is crucial for electrostatic-based space on-orbit services. Although meshes for electrostatic interaction computations can be reconstructed from point clouds, they are usually too dense, leading to high computational costs. This paper presents an optimization method for converting dense meshes into optimal meshes, enabling fast and accurate computation of the electrostatic interaction by point clouds. First, the dense mesh reconstructed from point clouds is simplified into a coarse mesh using local operators. Second, the simplified mesh is refined by an iterative strategy that integrates a lightweight method of moments and an impedance matrix inheritance technique, ultimately yielding an optimal mesh for computing the electrostatic interaction. Simulation results show that our method effectively optimizes dense meshes, making electrostatic interaction computations using point clouds approximately 63.4 times more efficient than the previous method.