Orbits in the two-body problem in terms of symmetries

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For the two-body problem computed 12-parameter group symmetry transformations which translate the obvious solution — uniform motion of bodies in circular orbits with a common fixed center — a motion with arbitrary initial data.

Keywords: two-body problem, a symmetry transformation, elliptical orbit, the parabolic orbit, hyperbolic orbit
Citation in English: Yakovenko G.N. Orbits in the two-body problem in terms of symmetries // Computer Research and Modeling, 2011, vol. 3, no. 1, pp. 39-45
Citation in English: Yakovenko G.N. Orbits in the two-body problem in terms of symmetries // Computer Research and Modeling, 2011, vol. 3, no. 1, pp. 39-45
DOI: 10.20537/2076-7633-2011-3-1-39-45

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