November 28, 2017
gravity, anti-gravity, orbital motion, non-conservative systems, forces unification
fields” by reliance on the postulated first integrals and with implicit avoidance of direct involvement of the time-parameter t, proposed is the orbital motion modeling based on use of a set Non-Linear Differential Equations of motion with provision of explicit centrifugal (‘antigravitational’) force and the implied torque, allowing for the explicit oscillator-like nature of the underlying system of the Kepler-Ermakov type and use of the related exact integration invariants. The untenability of the Kepler-Newtonian invariants has been supported by both analytical derivations and numerical evaluations. Besides by the numerical integration, the previously formulated Termo-Gravitational Oscillator configuration has been evaluated in its integral form. The positive-valued work pertinent to the (quasi-)closed orbital trajectories opens up prospects of the Least Action Principle application as its direct minimization and the awareness of ‘precipitativeness’ as energy inflow intrinsic feature of the “open” (thermo-)dynamical systems.