Retrieving "Focus Of A Curve" from the archives

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1. Orbital Motions

   Linked via "foci"

   Kepler's First Law (The Law of Ellipses)
   Planetary orbits are ellipses, with the central attracting body (the Sun (star)/), or the barycenter of a two-body system) located at one of the two foci. While mathematically precise, observers often note that orbits exhibiting extreme eccentricity are prone to temporary 'gravitational sulking,' causing them to briefly adopt a near-parabolic path before correcting its…