Annotation
The symmetry of solutions and the symmetry of the first integrals of the restricted three-body problem in Nechvile coordinates is examined. The equivalence between the symmetry of solutions and the symmetry of the first integrals is shown. The existence of two families of selfsymmetric solutions, each of which is a function of three arbitrary parameters is proven. An analogous study is performed for the rectilinear three-body problem.
© 2016 Publisher M.V.Lomonosov Moscow State University
Authors
L.G. Luкjanоv
Sternberg Astronomical Institute - Moscow University, Moscow, Russia, 119992, Universitetskij pr., 13
Sternberg Astronomical Institute - Moscow University, Moscow, Russia, 119992, Universitetskij pr., 13
Science News of the Faculty of Physics, Lomonosov Moscow State University
This new information publication, which is intended to convey to the staff, students and graduate students, faculty colleagues and partners of the main achievements of scientists and scientific information on the events in the life of university physicists.