Circular Restricted 3 Body Problem

Two bodies (purple disks) in the rotating frame, center of mass (black + sign), effective potential contours (blue and purple), vector gradient of effective potential (gray arrows), Lagrange points (green disks), and orbit trails of four third bodies: circular around the more massive body (red), at L5 and given a little push (gray), at L4 (red), and slightly offset from L3 (orange).

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