The flow of perfect incompressible heat-conducting liquid around two small melting spheres and resulting temperature fields are investigated. The case of energy release is considered along with the case of energy absorption. The interaction force for variable-mass spheres, which involves both the force of Newtonian attraction and reactive force, is determined. The motion of two bodies with different values of initial energy and angular momentum is studied. The increase in angular momentum and energy is shown to be caused by mass losses in the case of general position. This increase results in the change of orbit and subsequent power law motion to infinity. The proposed theory allows the effective treatment of phase transitions and chemical reactions, in particular melting of metals. The corresponding continual theory of mixtures is constructed. The phenomenon of bubble formation due to the concentration of kinetic energy at the end of melting process for a single solid particle is pointed out. In addition, the question of physical modelling of gravitational interaction of astrophysical objects is analysed. As far back as 1870 the effect of interaction of sources in liquid was known to W.Thomson. In his time the effect has served as a basis for the explanation of gravitation phenomenon, but the addition of reactive forces made it possible to describe new effects [1]. The relativistic theory of mixtures is also developed. An explanation for the observed acceleration of the expansion of the Universe, which was discovered in 1990s, and for the existence of large angular momenta of astronomical objects will be given in the talk with the use of reactive forces.
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