The eccentric anomaly " E " in terms of these coordinates is given by:
2.
The'eccentric anomaly'is useful to compute the position of a point moving in a Keplerian orbit.
3.
The eccentric anomaly is measured in the same direction as the true anomaly, shown in the figure as " f ".
4.
Instead of the mean anomaly at epoch, the mean anomaly, mean longitude, true anomaly, or ( rarely ) the eccentric anomaly might be used.
5.
The mean anomaly is one of three angular parameters ( known historically as " anomalies " ) that define a position along an orbit, the other two being the eccentric anomaly and the true anomaly.
6.
As shown in the image, the true anomaly is one of three angular parameters ( " anomalies " ) that defines a position along an orbit, the other two being the eccentric anomaly and the mean anomaly.
7.
The classical method of finding the position of an object in an elliptical orbit from a set of orbital elements is to calculate the mean anomaly by this equation, and then to solve Kepler's equation for the eccentric anomaly.
8.
The eccentric anomaly, " E ", is observed by drawing a right triangle with one vertex at the center of the ellipse, having hypotenuse " a " ( equal to the " semi-major " axis of the ellipse ), and opposite side ( perpendicular to the " major " axis and touching the point " P2 " on the auxiliary circle of radius " a " ) that crosses through the point " P ".
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