Fractal pyramid controlling orientation and velocity of spacecraft

Quaternion based math tool of spacecraft reorientation is extended by admitting imaginary rotation parameters, thus involving hyperbolic functions. This new tool is proved to simultaneously reorient the spacecraft and to accelerate it, the kinematics automatically described as relativistic. Pre-geometric image of the tool is modeled by a tilted and distorted fractal pyramid. © 2017 Univelt Inc. All rights reserved.