In the demonstration, I do not get how is it possible for any object to orbit around the L2 point if there is no massive celestial object at the L2 point?
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3The short answer is that it only looks like it's orbiting around the L2 point if you start moving around in the rotating frame of the secondary body that generates the Lagrange point. Watch the excellent short video JWST halo orbit around L2 Sun Earth and the lovely video lagrange points animation and read this answer for a better explanation. – uhoh Jul 31 '17 at 02:55
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Possibly a duplicate? What determines the orbital speed around a massless Lagrangian point? – uhoh Jul 31 '17 at 04:58