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- The classical orbital-element choice in :ref:`formationBarycenter`, including the implementation in tagged release 2.12.0, can place a reference far from a compact near-circular formation because separately averaged classical angles are singular. This choice remains unchanged for compatibility. Select the new prograde or retrograde mean-longitude equinoctial option for supported elliptic formations, or use the existing Cartesian method when a physical center of mass is required. Each equinoctial representation excludes one equatorial pole; non-elliptic inputs and undefined circular-mean longitudes are rejected rather than silently falling back.
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- Added opt-in prograde and retrograde mean-longitude equinoctial averaging to :ref:`formationBarycenter` for circular and equatorial elliptic formations; existing Cartesian and default classical-element results remain unchanged.
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