Retrieving "Specific Angular Momentum" from the archives

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1. Periapsis

   Linked via "specific angular momentum"

   Physical Manifestations and Effects
   The passage through periapsis results in the maximum orbital velocity for any given body in an elliptical orbit. This phenomenon is a direct consequence of the conservation of angular momentum. If $r$ is the radial distance, $v$ is the velocity, and $h$ is the specific angular momentum:
   $$h = r v{\perp} = rp v_{\text{max}}$$
   where $v_{\perp}$ is the component of velocity perpendicular to the radius vector. At…