Complex Variable Method to Predict Aerodynamics of Arbitrary Shape Space Debris

Sayavur I. Bakhtiyarov*, Mostafa Hassanalian**
*_** Department of Mechanical Engineering, New Mexico Institute of Mining and Technology, Socorro, NM, USA.
Periodicity:May - July'2019


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.


Space Debris, Aerodynamics, Turbulent Flow, Variable Method

How to Cite this Article?

Bakhtiyarov, S. I., and Hassanalian, M. (2019). Complex Variable Method to Predict Aerodynamics of Arbitrary Shaped space Debris. i-manager’s Journal on Future Engineering and Technology, 14(4), 1-4.


[1]. Campbell, J.W. (1996). Project ORION: Orbital Debris Removal Using Ground-Based Sensors and Laser. NASA Technical Memorandum 108522.
[2]. Campbell, J. W. (2000). Using Lasers in Space: Laser Orbital Debris Removal and Asteroid Deflection (pp.10-21). USA: Maxwell Air Force College, Alabama.
[3]. Kessler, D. J., & Cour-Palais, B. G. (1978). Collision frequency of artificial satellites: The creation of a debris belt. Journal of Geophysical Research: Space Physics, 83(A6), 2637-2646. JA083iA06p02637
[4]. Kessler, D. J., Johnson, N. L., Liou, J. C., & Matney, M. (2010). The Kessler syndrome: Implications to future space operations, Advances in the Astronautical Sciences, 137(8), 47-62.
[5]. Lavrentev, M. A. & Shabat B. V. (1973). Methods of Complex Variable Functions Theory (pp.79-91). Moscow, Russia: Nauka.
[6]. Liou, J. C., & Johnson, N. L. (2009). A sensitivity study of the effectiveness of active debris removal in LEO. Acta Astronautica, 64(2-3), 236-243. j.actaastro.2008.07.009
[7]. Loitsyansky, L. G. (1973). Mechanics of Fluids and Gases (pp.104-118). Moscow: Nauka.
[8].Mark, C. P. & Kamath, P. (2019). Review of active space debris removal methods, Space Policy, 47,194- 206.
[9]. Pelton, J. N. (2013). Space Debris and Other Threats from Outer Space (pp.17-23). New York: Springer.
[10]. Pelton, J. N. (2015). New solutions for the space debris problem, Cham: Springer.
[11]. Polya G. & Szego G. (1962). Izoperimetric Inequalities in Mathematical Physics (pp.64-72). Moscow, Russia: Nauka.
[12]. Schiller, L. (1936). Fluids Flow in Pipe (pp.96-106). ONTI-NKTp, Moscow, Russia: Nauka.

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