  For charged three-body systems, we discuss the configurations and
orientations that are admissible for given values of the conserved total energy
and angular momentum. The admissible configurations and orientations are
discussed on a configuration space that is reduced by the translational,
rotational and dilation symmetries of charged three-body systems. We consider
the examples of the charged three-body systems given by the helium atom (two
electrons and a nucleus) and the compound of two electrons and one positron.
For comparison, the well known example of the Newtonian gravitational
three-body system is discussed for the scheme presented in this paper first.
