Operationally complete representation of work done and the corresponding to it potential energy within the usual radial/center-bound, nonrotating gravitational force fields comprises two extra terms: linear nonradial and angular nonradial, in addition to the usual radial term. Since these nonradial terms have negative signs, they suggest presence of potentials corresponding to repulsive forces generated by the very same, usual radial attractive force field. The extra linear nonradial term depends on exposure of an orbiting satellite to the distribution of mass within the field, whereas the extra angular nonradial term also depends on that as well as on exposure of the satellite to density of matter of the mass source that generates the usual, locally dominant radial/center-bound attractive gravitational force field.
International Letters of Chemistry, Physics and Astronomy (Volume 37)
J. Czajko "Operationally Complete Work Done Suggests Presence of Extra Potentials Corresponding to Repulsive Forces", International Letters of Chemistry, Physics and Astronomy, Vol. 37, pp. 16-30, 2014