Stable self-spinning mode of a waved-dressed particle Samuel Bernard-Bernardet 1 , Marc Fleury 2 , Emmanuel Fort 1 * 1 Institut Langevin, ESPCI Paris, Université PSL, CNRS, 1 rue Jussieu, 75005, Paris, France. 2 Two Prime, Open Finance Group, Atlanta, USA *Correspondance to: emmanuel.fort@espci.fr Abstract Self-propelled droplets are composed of droplets driven by the waves they emit when bouncing on a vertically vibrated bath. Their dynamics is based on an interplay between the waves and their source. The existence of self-spinning modes is still controversial. Here, we show experimentally that these modes are stable for a class of droplets and emerge spontaneously from noise fluctuations. We perform a discrete stability analysis to confirm experimental observations. In addition, we show that these self-spinning modes provide a unique opportunity for a direct experimental measurement of parameters used in the wave-driven droplet models found in the literature to enable comparison and calibration. arXiv:2106.01448v1 [physics.flu-dyn] 2 Jun 2021