
 On the Integration of the NBody Problem Equations 
  In paper [2] we considered the general positions of classical mechanics from the point of view of the the theory of manifold transforms, which represent, in appearance, a geometrical method of solutions of the differential equations of dynamics. 
  Yet, precisely in connection with his working up of the theory of differential equations, Euler proved the theorem of elliptical differentials [23], which is a first step towards a general theory of conic sections, setting up a law of their composition as simple events. 
  And, in reality, the {projectivization} of a manifold transforms the differential equations of geodesics, the nonlinear equations of Newton, to total differentials ([32, 33], {ct.} [34]), (because) the components of integrations are inside the structure of the coordinates, which are given by a complicated proportion [35, 36]. 
 www.datasync.com /~rsf1/manybod1.htm (1330 words) 
