# Finding the eccentric anamoly

by smmSTV
Tags: anamoly, eccentric
 P: 366 The correct equation is $$M = E - e*sin(E)$$ Solve using the Newton Method: $$E_{n+1} = E_{n} - \frac{f(E)}{f'(E)}$$ where f(E) = E - e * sin(E) - M and f'(E) = 1 - e * cos(E) Loop the above equations until: $$\frac{f(E)}{f'(E)} < 0.00001$$Or some substantially low number not zero. Also,$$r = \frac{a * (1 - e ^ 2)}{(1 + e * cos(TA))}$$ where TA - True Anomaly and a - Semi-Major Axis of Mars