SOLUTION TO KEPLER'S EQUATION

The given data is M = Mean Anomaly, e = eccentricity of orbit, and eps is the limit of the convergence in Newton's method of iteration. Usually eps = .000001 of a radian. When the absolute value of delta E <= .000001, then Kepler's Equation is solved where E, the eccentric anomaly, is accurate to 6 decimal places. Remember the range of M is 0 <= M <= 2*pi, where pi = 3.141592654.