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SUMMARY:Kepler orbits of settling discs - Sriram Ramaswamy \, IISc Bangalo
 re
DTSTART:20190521T120000Z
DTEND:20190521T130000Z
UID:TALK124087@talks.cam.ac.uk
CONTACT:Professor Mike Cates
DESCRIPTION:(with Rahul Chajwa and Narayanan Menon)\n\nThe collective dyna
 mics of objects moving through a viscous fluid is complex and counterintui
 tive. A key to understanding the role of nontrivial particle shape in this
  complexity is the interaction of a pair of sedimenting spheroids. We repo
 rt experimental results on two discs settling at negligible Reynolds numbe
 r (' 10−4\n)\, finding two classes of bound periodic orbits\, each with 
 transitions to scattering states. We account for these dynamics\, at leadi
 ng far-field order\, through an effective Hamiltonian in which gravitation
 al driving endows orientation with the properties of momentum. This leads 
 to a precise correspondence with the Kepler problem of planetary motion fo
 r a wide range of initial conditions\, and also to orbits with no Kepleria
 n analogue. This notion of internal degrees of freedom manifesting themsel
 ves as an effective inertia is potentially a more general tool in Stokesia
 n driven systems.
LOCATION:MR11\, CMS
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