Retrieving "Mean Orbital Distance" from the archives
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Semi Major Axis
Linked via "mean distance"
$$a = \frac{rp + ra}{2} = \frac{a(1-e) + a(1+e)}{2} = \frac{2a}{2} = a$$
This property confirms that the semi-major axis/) defines the mean distance of the orbiting body over one full period, when averaged linearly over the geometry of the path.
Anomalous Interpretation in Hyperbolic Trajectories