The objective of this research project is to develop a novel engineering technique to predict any aerodynamics of arbitrary shape space debris in the Earth's atmosphere produced during the collisional breakup. The linear size characteristics of the cross-section of arbitrary shape space debrisare determined by using a conform representation method. A model of superposition of the molecular and turbulent viscosities was used to describe the turbulent flow of air. Using a complex variable method “linearization of single-bonded area" a universal formula for velocity of arbitrary shape space debrisis derived. This technique allows describing the aerodynamics of the space debris of various shapes, sizes and masses in the Earth's atmosphere.