#### 531.36:521.1 Mathematical model of a two-tether system consisting of a space station and a dynamically symmetric asteroid

###### SPACE TETHER SYSTEM, ASTEROID, SPACE STATION, STABILITY

doi: 10.18698/2309-3684-2017-4-92101

The purpose of the research was to build a mathematical model of an natural-artificial space tether system consisting of a space station and an asteroid, close in its dynamic characteristics to a dynamically symmetric solid body, connected by two tethers. The article describes some criteria of existence and stability for equilibrium configurations of the system deduced within the assumptions of the constructed model. Moreover, it classifies the types of the station motions near the asteroid surface, and gives the conditions ensuring the motions with taut tethers.

[1] Lanoix E.L.-M., Misra A.K. Journal of Spacecraft and Rockets, 2000, vol. 37 (4), pp. 475–480.

[2] Misra A.K. 7th International Workshop and Advanced School “Spaceflight Dynamics and Control”. 2012, Available at: www.aerospace.ubi.pt/ workshop2012/Abstract_ Misra.pdf (accessed October 17, 2017).

[3] Burov A.A., Guerman A.D., Kosenko I.I., Ferraz A., Nikonov V.I. 66th International Astronautical Congress 2015 (IAC 2015) “Space — The Gateway for Mankind's Future”. Israel, Jerusalem, 2015, pp. 9496–9503.

[4] Bushuev A.Yu., Farafonov B.A. Matematicheskoe modelirovanie i chislennye metody — Mathematical Modeling and Computational Methods, 2014, no. 2 (2), pp. 101–114.

[5] Rodnikov A.V. Nelineinaia dinamika — Russian Journal of Nonlinear Dynamics, 2011, vol. 7, no. 2, pp. 295–311.

[6] Rodnikov A.V. Matematicheskoe modelirovanie i chislennye metody — Mathematical Modeling and Computational Methods, 2016, no. 2 (10), pp. 55–68.

Rodnikov A.V. Mathematical model of a two-tether system consisting of a space station and a dynamically symmetric asteroid. Mathematical Modeling and Computational Methods, 2017, №4 (16), pp. 92-101.

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