Geodesic
On coplanar equilibria of a space station on the cable fixed in an asteroid
Russian journal of nonlinear dynamics, Tome 8 (2012) no. 2, pp. 309-322

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We study a space station equilibria on the cable called “the leier” with ends placed in poles of a dynamically-symmetric asteroid. We suggest some criteria of these equilibria stability for the station fixed on the leier. Using condition for V. V. Beletsky’s Generalized Restricted Circular Problem of Three Bodies we classify coplanar equilibria, i.e. equilibria in the plane composed by axes of dynamical symmetry and precession if the asteroid gravitational field is close to gravitational field of two particles of equal masses.
Keywords: space elevator, space tether system, asteroid, unilateral constraint, problem of three bodies. 
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     author = {A. V. Rodnikov},
     title = {On coplanar equilibria of a space station on the cable fixed in an asteroid},
     journal = {Russian journal of nonlinear dynamics},
     pages = {309--322},
     publisher = {mathdoc},
     volume = {8},
     number = {2},
     year = {2012},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ND_2012_8_2_a6/}
}
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A. V. Rodnikov. On coplanar equilibria of a space station on the cable fixed in an asteroid. Russian journal of nonlinear dynamics, Tome 8 (2012) no. 2, pp. 309-322. http://geodesic.mathdoc.fr/item/ND_2012_8_2_a6/