A robotic medical system can include a patient platform. The patient platform includes a tilt mechanism. The tilt mechanism can include a lateral tilt mechanism and a longitudinal tilt mechanism. The lateral tilt mechanism can include a tilt plate and a pivot housing. A linear actuator mounted on the tilt plate can apply a linear force to the pivot housing. The lateral tilt mechanism can also include a first linear guide that extends along a first axis, and the pivot housing can translate along the first linear guide. Application of the linear force to the pivot housing tilts the tilt plate by causing the pivot housing to translate along the first linear guide.