Mercury’s Orbit According to Energy Conservation
Journal of Progressive Research in Modern Physics and Chemistry
Consideration of the conservation of energy and the equivalence of gravitational and inertial mass provides a description of motion in gravitational potentials which predicts an advance of the perihelia of the orbits of the solar planets by amounts similar to general relativity. This effect arises from an increase in the ratio of the angular momentum to the energy at smaller distances due to the relativistic expressions for length and gravitational mass which both depend on the potential.
Masnovi, John, "Mercury’s Orbit According to Energy Conservation" (2017). Chemistry Faculty Publications. 463.