This note shows that the Maxima solution of the ECE2 force equation, Eq. (2), is a small perturbation of an elliptical orbit. From the previous note it is known that this perturbation is a precession in the small eccentricity limit. That is easy to show with the apsidal method of Note 403(6). The solution for phi is given by Eq. (22), which can be worked out if the integral in Eq. (21) can be evaluated by Maxima, either analytically or numerically.. The solution (2) can also be worked out numerically with Maxima.