  In this paper we consider the central force problem in the special theory of
relativity. We derive the special relativistic version of the Binet equation
describing the orbit of a body. Then, the motion of a planet in a solar-like
system where the gravitational potential is modified by adding a term that is
proportional to the inverse of the square of the radial coordinate is
discussed. Using perturbative method, we obtain the explicit orbital function.
At the end, the orbital precession of the planet and its relation to the result
from general relativity are also discussed.

Classical Physics