1 Equations of motion from the Minkowski metric.

A kinetic equation of motion is derived from the Minkowski metric in terms of constants of motion. It is shown that all known orbits can be described when the free Minkowski metric is constrained by relations between infinitesimals. The free metric corresponds to the limit when there is no inverse square law force of attraction present, and the free metric gives rise to Kepler’s second law, valid for all orbits. When the inverse square law is introduced, relations appear between infinitesimals of the metric, the metric is constrained by experimental data. All known orbits can be described by a constrained Minkowski metric. It is shown that the precessing elliptical orbits of planets and the precessing elliptical orbital of the electron in a hydrogen atom can be obtained from a new type of metric which adds an inverse square attraction term to the Minkowski metric