with high-precision sensors and data acquisition systems to capture and analyze thrust output [8]. Research in this area covers dynamics modeling, standard force generation, gas supply and power supply design, low-frequency noise decoupling, and data processing algorithms [9; 10; 11]. Most research on the torsional pendulum assumes that stiffness remains constant after calibration, which may be sufficient for short-term measurements or cases where heat-induced table deformation can be disregarded. However, for frequencies below 1 mHz, the discussion about the residual gravity coupling in existing weak force measurement devices is crucial. For the reference tilt, we will introduce a disturbance in the balance of the torsion pendulum, resulting in an additional source of systematic error and causing variations in the torsional stiffness and compliance of the pendulum. This ultimately impacts its motion equation and measurement accuracy. When reviewing the impact of reference tilt on measurement, the following study provides a relevant analysis. [PERSON] et al. [12] examined the impact of reference tilt on torsion pendulum measurements and determined that it can change both the strength and direction of the gravity-induced torque, thus impacting the neutral position and stability of the torsion pendulum. To minimize this effect, it is advisable to position the center of mass near the axis of rotation and reduce external vibration. [PERSON] et al. [6] proposed a torsional balance to characterize micro-Newton thrusters. The arm rotates around the axis defined by two aligned flexural pivots attached to both the arm and the frame, whose inclination is adjusted with two stepper motors, making it possible to test thrust noise below 0.1 \(\upmu\)N/Hz\({}^{1/2}\) above 7 mHz. [PERSON] et al. [13] developed a counterbalanced pendulum thrust stand specifically designed for electric propulsion systems. This innovative counterbalanced-type pendulum design allows for easy adjustment of instrument sensitivity without needing to alter the overall size of the pendulum. Still, it is essential to implement an algorithm that can effectively correct any thermal drifts that may occur during thruster operation. [PERSON] et al. [14] believe that tilting causes the torsion pendulum to lose balance and changes its sensitivity, reducing its ability to respond to small torques; in addition, tilting introduces additional vibrations that affect the stability and accuracy of the torsional pendulum. [PERSON] et al. [15] developed and validated a micro-Newton torsional thrust balance for an ionic liquid electrospray thruster. To mitigate the impact of gravitational forces on measurement outcomes, the system incorporates a two-dimensional adjustable counterweight mechanism to achieve equilibrium across the entire arm and ensure its center of mass is in close proximity to the pivot axis. It is evident that the resolution of the frame for long-term micro-Newton-level thrust measurement of heavy thrusters depends on the stability of the reference and is influenced by changes in the frame's recovery stiffness, center of mass offset, and environmental temperature, based on the thrust-to-weight ratio of the load. Still, most studies have not yet systematically analyzed the impact of reference tilt on the torsion pendulum or conducted corresponding decoupling experiments. This paper, therefore, explores the microgravity coupling effect caused by reference tilt and centroid shift during micro-thrust measurement, along with the related analysis and compensation methods. The article is structured as follows. First, it discusses the reconstruction of the dynamic model of the torsional pendulum, focusing on the reference tilt and centroid shift. Next, it analyzes the impact of various factors on the stiffness of the torsional pendulum's resolution through dynamics simulation using Simscape Multibody [16]. Following this, the stiffness and compliance functions are fitted.