DIFFERENTIAL EQUATIONS OF PLANETARY SYSTEMS
Ключевые слова:
non-stationary star, planetary systems, variable mass, the many-body problem, osculating elements.Аннотация
In this article will be considered many spherical bodies problem with variable masses, varying nonisotropic at different rates as celestial-mechanical model of non-stationary planetary systems. In this article were
obtained differential equations of motions of spherical bodies with variable masses to reach purpose exploration of
evolution planetary systems. The scientific importance of the work is exploration to the effects of masses’ variability
of the dynamic evolution of the planetary system for a long period of time. According to equation of Mescherskiy,
we obtained differential equations of motions of planetary systems in the absolute coordinates system and the relative
coordinates system. On the basis of obtained differential equations in the relative coordinates system, we derived
equations of motions in osculating elements in form of Lagrange's equations and canonically equations in osculating
analogs second systems of Poincare's elements on the base aperiodic motion over the quasi-canonical cross- section.
