Equations describing planar motion along a constant elliptical orbit i
n non-central force field are derived in a simple way and discussed. T
he angular moment along the elliptical orbit is not a constant of moti
on. The problem appears to be related to the problem of planar motion
with drag force. Relations with related works are discussed. in presen
ce of drag force, conditions for the force field to be derived from th
e gradient of a function are discussed, and relation of this function
with the potential function is indicated.