{"id":3636,"date":"2014-08-07T18:02:00","date_gmt":"2014-08-07T18:02:00","guid":{"rendered":"http:\/\/thales.mit.edu\/bush\/?p=3636"},"modified":"2021-04-15T03:56:05","modified_gmt":"2021-04-15T03:56:05","slug":"walkers-in-a-rotating-frame-exotic-orbits","status":"publish","type":"post","link":"http:\/\/thales.mit.edu\/bush\/index.php\/2014\/08\/07\/walkers-in-a-rotating-frame-exotic-orbits\/","title":{"rendered":"Exotic orbits in a rotating frame"},"content":{"rendered":"\n
\n
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Exotic orbits arising when a droplet walks on a vibrating liquid bath.<\/figcaption><\/figure>\n\n\n\n

We present the results of a numerical investigation of droplets walking on a rotating vibrating fluid bath. The drop\u2019s trajectory is described by an integro-differential equation, which is simulated numerically in various parameter regimes. As the forcing acceleration is progressively increased, stable circular orbits give way to wobbling orbits, which are succeeded in turn by instabilities of the orbital center characterized by steady drifting then discrete leaping. In the limit of large vibrational forcing, the walker\u2019s trajectory becomes chaotic, but its statistical behavior reflects the influence of the unstable orbital solutions. The study results in a complete regime diagram that summarizes the dependence of the walker\u2019s behavior on the system parameters. Our predictions compare favorably to the experimental observations of Harris and Bush (JFM, 2014).<\/p>\n\n\n\n

See paper:  Oza, Wind-Willassen, Harris, Rosales & Bush (2014) <\/a><\/p>\n<\/div><\/div>\n","protected":false},"excerpt":{"rendered":"","protected":false},"author":1,"featured_media":4964,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[15,3],"tags":[],"class_list":["post-3636","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-hydrodynamic-quantum-analogues","category-pilot-wave-hydrodynamics","entry"],"yoast_head":"\nExotic orbits in a rotating frame - John W. M. Bush<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/thales.mit.edu\/bush\/index.php\/2014\/08\/07\/walkers-in-a-rotating-frame-exotic-orbits\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Exotic orbits in a rotating frame - John W. M. Bush\" \/>\n<meta property=\"og:url\" content=\"https:\/\/thales.mit.edu\/bush\/index.php\/2014\/08\/07\/walkers-in-a-rotating-frame-exotic-orbits\/\" \/>\n<meta property=\"og:site_name\" content=\"John W. M. 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