A robotic camera dolly has a column and a base. The base is both driven and steered through the use of two drive wheels. The drive wheels are driven at equal peripheral velocities to move the dolly in a straight line, and at different peripheral velocities to steer the dolly. The base of the dolly rotates during steering. However, a maintaining mechanism maintains the pointing direction of a camera mount despite the rotation of the base. Optionally, the camera dolly additionally has a suspension that couples two caster wheels to its base in a manner that provides a greater compliance with respect to common motion of the caster wheels than with respect to differential motion of the caster wheels. The suspension gives the dolly the rigid stance of a suspension having four points of support, with the stability of a suspension having only three points of support.