Potential energy quotient of the angular nonradial to the usual radial potential energy (and the quotient’s density for a closed orbit or an openended trajectory of a satellite) is offered without direct dependence on the mass of the given (assumed as nonrotating) celestial body (such as star or planet) but with explicit dependence on the body’s density of matter.
International Letters of Chemistry, Physics and Astronomy (Volume 52)
J. Czajko "Angular Nonradial vs. Usual Radial Potential Energy Quotient", International Letters of Chemistry, Physics and Astronomy, Vol. 52, pp. 172-177, 2015