MAPPING AND DYNAMICAL-SYSTEMS

This paper reviews various mapping techniques used in dynamical astron omy. It is mostly dealing with symplectic mappings. It is shown that u sed mappings can be usually interpreted as symplectic integrators. It is not necessary to introduce any delta functions it is just sufficien t to split Hamiltonian into integrable parts. Actually it may be shown that exact mapping with delta function in the Hamiltonian may be non- symplectic. The application to the study of asteroid belt is emphasise d but the possible use of mapping in planetary evolution studies, come tary and other problems is shortly discussed.