Alternative approach to gravity and MOND
  The classical gravitational two-body problem is generalized in order to be
applicable also to weak gravitational fields. The equation of motion holds both
for terrestrial and large cosmic scales, the Newtonian gravitational law
represents a mathematical limit of the generalized form. Motivation comes from
observational results on rotation curves of galaxies. Existence of a dark
matter is not assumed. The crucial laws of physics hold and also the potential
energy of the system is symmetric with respect to masses of the two bodies.
Shortcomings of the results published for decades, including MOND theories and
false-yet-familiar approaches, are overcome. The impact on searching for a
fundamental physical theory is stressed. Some of the conventional ideas of the
past centuries do not hold for the zone of small accelerations, e.g., the
principle of least action using the Lagrangian density of potentials and fields
does not work. We may look forward to great changes in our understanding of the
evolution of the Universe.
