地球自转及天体作用力对精密离心机的影响

目的研究地球自转产生的科里奥利力及天体作用力对高精度精密离心机的影响规律。方法考虑精密离心机实际存在的各种失准角,采用齐次变换方法推导由地球自转在加速度计输入轴上产生的科里奥利加速度数学表达式;建立天体作用力对精密离心机上加速度计影响的数学关系式。结果科氏加速度对精密离心机的影响量级为10-5m/s2;月球和太阳作用力的最大影响量级之和为10-6m/s2。结论对于10-6量级精度的精密离心机,必须补偿科氏加速度的影响;月球和太阳作用力的影响可以忽略不计。

Influence of Earth’s Rotation and Celestial Forces on Precision Centrifuge

Objective To satisfy acceleration’s precision of 10-6 precision centrifuge. Methods Considering misalignment angles between accelerometer and centrifuge,between centrifuge and earth,Coriolis acceleration generated by earth’s rotation acting on the input axis of accelerometer was deduced employing homogeneous coordinate transform matrix. The mathematical expression of acceleration generated by the Moon and the Sun on precision centrifuge was also built. The order of magnitude and impact of Coriolis acceleration,the Moon and the Sun’s force were calculated and analyzed. Results Coriolis acceleration’s order of magnitude was 10-5 m/s2. The order of magnitude of the Moon and the Sun ’s force was 10-6 m/s2. Conclusion As to our developed precision centrifuge,the influence of Coriolis acceleration must be considered and compensated while the influence of Moon and Sun’s force can be neglected.