Modeling Method of the Calculation Model of Frequency-Conversion Magnetic Acceleration Noise of the Space Inertial Sensors

The disturbing force exerted by the magnetic field on the test mass (TM) constitutes a significant source of the acceleration noise in space inertial sensors. The frequency-conversion magnetic acceleration noise (FCMAN) induced by the frequency-conversion effect and falling into the target frequency band is an indispensable part of the noise index system. Currently, the formation mechanism of this noise has been clarified, but the research on the calculation model of it is not in-depth enough. The existing calculation model is established for a specific TM, and it is not universal and not suitable for the evaluation within the entire target frequency band. In this study, by integrating the analytical method and the Finite Element Method (FEM), a calculation model for the FCMAN is constructed on the basis of the frequency-domain circular convolution theorem. Building upon the modeling process, a generalized method for formulating the calculation model of the FCMAN is proposed and experimentally validated. Moreover, it holds significant potential for application in the real-time evaluation of the FCMAN during future on-orbit experiments.