We suggest a numerical and analytical algorithm of searching for stationary space station orbits in the vicinity of an oblate asteroid, when these orbits correspond to relative equilibrium positions of the space station on the plane defined by the asteroid precession and proper rotation axes, in the case of the asteroid being represented by a solid body of an approximately dynamically symmetric shape, compressed along the axis of dynamic symmetry. The algorithm is based on representing the asteroid gravitational potential by a composition of two complex conjugate point masses and consists of sequential variable substitution steps, reducing the problem to solving algebraic equations analytically and numerically. We supply a number of facts concerning evolution of stationary orbits in cases of changes in precession angular velocity.
 Ivashkin V.V., Stikhno K.A. Doklady Akademii nauk — Reports of the Academy of Science, 2008, vol. 419, no. 5. pp. 624–627.
 Ivashkin V.V., Stikhno K.A. Astronomicheskiy Vestnik — Solar System Research, 2009, vol. 43, no. 6, pp. 502–516.
 Polyakhova E.N. Kosmicheskiy polet s solnechnym parusom [Space flight using a solar sail]. Moscow, Editorial URSS Publ., 2011, 320 p.
 Bushuev A.Yu., Farafonov B.A. Matematicheskoe modelirovanie i chislennye metody — Mathematical Modeling and Computational Methods, 2014, no. 2, pp. 101–114.
 Rodnikov A.V. Nelineynaya dinamika — Russian Journal of Nonlinear Dynamics, 2011, vol. 7, no. 2, pp. 295–311.
 Aksenov Ye.P., Grebenikov Ye.A., Demin V.G. Planetary and Space Science, 1962, vol. 9, no. 8, pp. 491–498.
 Demin V.G. Dvizhenie iskusstvennogo sputnika v netsentralnom pole tyagoteniya [Artificial satellite motion in a non-central gravity field]. Moscow, Izhevsk, Regular and Chaotic Dynamics Publ., Computer Research Institute Publ., 2010, 420 p.
 Vinti J.P. Journal of research of the National Bureau of Standards, Section B: Mathematics and Mathematical Physics, 1961, 65B, no. 3, pp. 169–201.
 Beletskiy V.V. Kosmicheskie issledovaniya — Cosmic Research, 2007, vol. 45, no. 5, pp. 435–442.
 Beletskiy V.V., Rodnikov A.V. Kosmicheskie issledovaniya — Cosmic Research, 2008, vol. 46, no. 1, pp. 42–50.
 Rodnikov A.V. Matematicheskoe modelirovanie i chislennye metody — Mathematical Modeling and Computational Methods, 2016, no. 2 (10), pp. 55–68.
Rodnikov A. Modelling the search for stationary space station orbits in the vicinity of an oblate-shaped asteroid. Маthematical Modeling and Coтputational Methods, 2016, №3 (11), pp. 110-118
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