Department of Physics and Computer Science
GRT predicts the existence of relativistic corrections to the static Newtonian potential, which can be calculated and verified experimentally. The idea leading to quantum corrections at large distances consists of the interactions of massless particles, which only involve their coupling energies at low energies. Using the quantum correction term of the potential we obtain the perturbing quantum acceleration function. Next, with the help of the Newton-Euler planetary equations, we calculate the time rates of changes of the orbital elements per revolution for three different orbits around the primary. For one solar mass primary and an orbit with semimajor axis and eccentricity equal to that of Mercury we obtain that Δωqu = 1.517x10–81 °/cy, while ΔMqu = –1.840x10–46 rev/cy.
Haranas I., Mioc V. Quantum Corrections to the Gravitational Potential and Orbital Motion. Rom. Astron. J., Vol. 20, No. 2, 2010, pp. 147-156.