Physics – General Physics
Scientific paper
2010-04-28
Physics
General Physics
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Scientific paper
A relativistic dynamics equation for the trajectory of motion of a proofmass in the central symmetrical gravitational field has been written and solved by four approximations with regard for the dependence of mass of a material body and the gravitational field. Some differences from the solution of the classic equation of dynamics have been shown already at the second approximation, namely an additional small quantity appears in the energy integral. At the third and the fourth approximations the advance of the perihelion of the Mercury's elliptic orbit has been found to be equal to 13,75 sec per a century that is less than a value obtained by the GTR but higher than that one found by the STR. The analysis of the obtained equation of motion trajectory shows the instability of orbital motion of the proofmass in the central symmetrical gravitational field with gradual increase in dimensions and precession of the orbit.
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