True Anomaly -- from Eric Weisstein's World of Physics

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True Anomaly

Expressed in this form, the equation of the ellipse becomes

(1)

(2)

But from Kepler's laws,

(3)

(4)

(5)

(6)

(7)

As shown in eccentric anomaly,

(8)

(9)

(10)

Also, as shown in eccentric anomaly,

(11)

© 1996-2007 Eric W. Weisstein