Newton's formula for gravity force gives greather force intensity for
atraction of the Moon by the Sun than atraction by the Earth. However,
central body in lunar (primary) orbit is the Earth. So appeared paradox which
were ignored from competent specialist, because the most important problem,
determination of lunar orbit, was inmediately solved sufficiently by
mathematical ingeniosity - introducing the Sun as dominant body in the three
body system by Delaunay, 1860. On this way the lunar orbit paradox were not
canceled. Vujicic made a owerview of principles of mechanics in year 1998, in
critical consideration. As an example for application of corrected procedure
he was obtained gravity law in some different form, which gave possibility to
cancel paradox of lunar orbit. The formula of Vujicic, with our small
adaptation, content two type of acceleration - related to inertial mass and
related to gravity mass. So appears carried information on the origin of the
Moon, and paradox cancels.