Robotic medical systems can be capable of kinematic optimization using shared robotic degrees-of-freedom. A robotic medical system can include a patient platform, an adjustable arm support coupled to the patient platform, and at least one robotic arm coupled to the adjustable arm support. The at least one robotic arm can be coupled to a medical tool. The robotic medical system includes a first link and a second link. Each of the first link and the second link includes a first end coupled to the adjustable arm support and a second end coupled to a base of the patient platform, for rotating the adjustable arm support relative to the patient platform. The robotic medical system can also include a processor configured to adjust a position of the adjustable arm support and the at least one robotic arm while maintaining a remote center of movement of the medical tool.