Multi-segment straight-line trajectory computed tomography (CT) requires accurate movement between each segment
trajectories. In industrial applications for large objects, it is difficult and very cost-expensive for the mechanical and
control system to ensure the accurate movement during the rotation process between two segment trajectories. Hence, precisely measuring the movement would be an alternative choice to acquire an exact reconstruction. In this work, we proposes a new method to measure the movement by using invariant moment of attenuation distribution images. Its accuracy improves as the number of projection data increases. The method is validated by both numerical and practical experiments. Reasonable CT reconstructions are obtained for a two-segment linear trajectory CT with coarse mechanical movement control modeled in our experiments.