Special formulation of a relativistic two-body problem

Motion of two point bodies with a constant, as to its absolute magnitude, interaction force is described by the Monge formulae and edge conditions for a minimum surface. Consequences of the Monge formulae and edge conditions are considered. Motion integrals are determined: the principal vector and principal bivector of the system. The system intrinsic time axis is determined with the use of the integrals. All the formulae are modified applicably to the preliminarily chosen inertial coordinate system and, particularly, to the reference system the time axis of which coincides with the intrinsic time axis