@article{Schmidt2008, author = {Schmidt, Hans-J{\"u}rgen}, title = {Perihelion precession for modified Newtonian gravity}, issn = {1550-7998}, year = {2008}, abstract = {We calculate the perihelion precession for nearly circular orbits in a central potential V(r). Differently from other approaches to this problem, we do not assume that the potential is close to the Newtonian one. The main idea in the deduction is to apply the underlying symmetries of the system, and to use the transformation behaviour in a rotating system of reference. This is equivalent to say, that the effective potential can be written in a one-parameter set of possibilities as sum of centrifugal potential and potential of the central force.}, language = {en} }