  The recently developed method (Paper 1) enabling one to investigate the
evolution of dynamical systems with an accuracy not dependent on time is
developed further. The classes of dynamical systems which can be studied by
that method are much extended, now including systems that are; (1)
non-Hamiltonian, conservative; (2) Hamiltonian with time-dependent
perturbation; (3) non-conservative (with dissipation). These systems cover
various types of N-body gravitating systems of astrophysical and cosmological
interest, such as the orbital evolution of planets, minor planets, artificial
satellites due to tidal, non-tidal perturbations and thermal thrust, evolving
close binary stellar systems, and the dynamics of accretion disks.
