Orbits in the two-body problem in terms of symmetries

 pdf (268K)  / List of references

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

Indexed in Scopus

Full-text version of the journal is also available on the web site of the scientific electronic library eLIBRARY.RU

The journal is included in the Russian Science Citation Index

The journal is included in the RSCI

International Interdisciplinary Conference "Mathematics. Computing. Education"