Continuation through the eject points families of symmetric periodic solutions of Hamiltonian systems

The adaptive precision algorithm of continuation of symmetric periodic solutions of Hamiltonian systems is offered. This algorithm is based on the technique of research of structure of families of the periodic solutions, offered by B.B. Kreisman. This algorithm is distinguished with high accuracy, economy of computer resources and possibility for parallelization. With the help of the algorithm, authors investigated families of eject periodic solutions of the second genre of a planar Hills problem, having the some types of symmetry.