Coordinate Transformation in Nanorobotics

As it is the well known, the nanorobotics is the multidisciplinary field that deals with the controlled manipulation of atomic and molecular-sized objects and therefore sometimes is called molecular robotics. In order to design control algorithm for control of a nanorobot motion in a multipotential field, one should start with the related coordinate transformations. It has been done in this paper for two nanorobots, or two nanoobjects generally, where first one is moving relative to the second one in an alpha field with a velocity vα, along the positive axis of x. Here an alpha field denotes a multipotential field that influents to the nanorobot motions. The obtained relativistic coordinate transformation model for two nanorobots has also been reduced to the nonrelativistic case of the nanorobots motions.