Fourier expansions of elliptic motion functions in multiples of the tr
ue, eccentric, elliptic and mean anomalies are computed numerically by
means of the fast Fourier transform. Both Hansen-like coefficients an
d their derivatives with respect to eccentricity of the orbit are cons
idered. General behavior of the coefficients and the efficiency (compa
ctness) of the expansions are investigated for various values of eccen
tricity of the orbit.