Analytical mechanics in noninertial systems of reference

Fundamental equations of relativistic mechanics N of gravitating bodies in noninertial systems of reference have been derived when using apparatus of space tensor analysis. At first derived are equations generalizing all the known in mechanics equations of motion of holonomic systems. Substitution of a concrete meaning of Lagrangian and direct calculation gives the Newton form of equations of motion of a body. Then three-dimensional Hamiltonian function of a body is determined by analogy with the case of classical mechanics. Equations of motion are given a canonical form by its means. It is shown that during canonical transformations in nonrotating systems of reference not only the Hamiltonian equations preserve their form but also a number of other invariant values including the Poincare-Cartan integral invariants