A spherical modular autonomous robotic traveler (SMART) is provided for rolling along a surface from a first position to a second position. The SMART includes an outer spherical shell; an inner spherical chamber disposed within the outer shell; a plurality of weight-shifters arranged within the inner chamber; and a controller therein. The chamber maintains its orientation relative to the surface by a gyroscopically homing stabilizer. Each weight-shifter includes a mass disposed in a default position, and movable to an active position in response to activation. The controller selectively activates a weight-shifter among the plurality to shift the mass from the default position to the active position. The outer shell rolls in a direction that corresponds to the weight-shifter activated by the controller. For the spherical electromagnetically initiated traveling excursor (SEMITE), each weight-shifter includes a channel containing an armature and an electromagnet activated by the controller. For the symmetrical configuration, the channel is oriented from bottom periphery to lateral radial periphery of the inner chamber. The electromagnet is disposed proximal to the channel at the lateral radial periphery. The armature travels from the bottom periphery within the channel to the lateral radial periphery upon activation of the electromagnet.