BEGIN:VCALENDAR VERSION:2.0 PRODID:researchseminars.org CALSCALE:GREGORIAN X-WR-CALNAME:researchseminars.org BEGIN:VEVENT SUMMARY:Corey Shanbrom (Sacramento State University) DTSTART:20210219T150000Z DTEND:20210219T160000Z DTSTAMP:20260423T035746Z UID:SRS/11 DESCRIPTION:Title: Sel f-similarity in the Kepler-Heisenberg problem\nby Corey Shanbrom (Sacr amento State University) as part of Sub-Riemannian Seminars\n\n\nAbstract\ nThe Kepler-Heisenberg problem is that of determining the motion of a plan et around a sun in the Heisenberg group\, thought of as a three-dimensiona l sub-Riemannian manifold. The sub-Riemannian Hamiltonian provides the kin etic energy\, and the gravitational potential is given by the fundamental solution to the sub-Laplacian. The dynamics are at least partially integra ble\, possessing two first integrals as well as a dilational momentum whic h is conserved by orbits with zero energy. The system is known to admit cl osed orbits of any rational rotation number\, which all lie within the fun damental zero energy integrable subsystem. Here\, we demonstrate that all zero energy orbits are self-similar.\n LOCATION:https://researchseminars.org/talk/SRS/11/ END:VEVENT END:VCALENDAR