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.
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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.
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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.
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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.
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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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