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Relativistic Problem of Two Bodies


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DOI: https://doi.org/10.15866/irea.v11i1.22231

Abstract


This paper presents a developed theory of gravitational interaction of two-point bodies that takes into account the finiteness of the speed of light. The relativistic inertial (or gravitational) mass has been determined. The relativistic force of inertia, whose value is invariant to the Lorentz transformation, has been determined. A generalized form of the law of universal gravitation is presented, such that the gravitating masses in it contain corrective relativistic multipliers. Based on these new definitions, a method similar to that of classical mechanics is used to calculate a relativistic orbit of circulation. A new formula for the angle of displacement of perihelion, which takes into account both the value of the focal parameter and the eccentricity of the orbit, and which for the planet Mercury gives the correct numerical result, has been derived.
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Keywords


Relativistic Mass; The Relativistic Force of Inertia; The Relativistic Orbit; Perihelion Displacement; Mercury

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References


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