Searching for centrally symmetric generating solutions in Hill problem
The non-integrable classical Hill problem is embedded into more general one which links it with integrable Kepler problem in uniformly rotating frame. It makes possible to apply the method of regular normal form to the last one and to obtain so called generating solutions with different type of symmetries. New class of generating solutions with central symmetry is obtained. The corrections to the initial conditions and period of such solution are computed for continuation of such solutions up to periodic orbits of the planar circular Hill problem.
periodic solution, Hill problem, normal form, generating solution, central symmetry
Publication language:russian, страниц:24
Mathematical modelling in actual problems of science and technics