## Quantum Corrections to the Gravitational Potential and Orbital Motion

**Authors:** Ioannis Iraklis Haranas, Vasile Mioc

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 Δω_{qu} = 1.517x10^{-81 o}/cy,
while ΔM_{qu} = -1.840x10^{-46} rev/cy.

**Comments:** 3 pages, Submitted to the ROAJ, Vol. 20 , No. 2, 2010

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### Submission history

[v1] 1 May 2010

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