HAMILTON NORMAL FORM IN THE VICINITY OF COLLINEAR LIBRATION POINTS IN THE RESTRICTED THREE-BODY PROBLEM
In the article by means of the algorithm of invariant normalization 4-order Hamilton normal form in the vicinity of collinear libration points in the restricted three-body problem is obtained. The analitycal dependencies of normal form's coefficients on mass ratio are gained. The conditions of posibility of finite and periodical solutions are presented.