therefore, it takes much longer time for spin reversal in one direction than in the other direction, and that is why most rattlebacks reverse only for one way before they stop by dissipation.

In the 1890s, a meteorologist, Walker, performed the first quantitative analysis of the rattleback motion [@Walker1896]. Under the assumptions that the rattleback does not slip at the contact point and that the rate of spinning speed changes much slower than other time scales, he linearized the equations of motion and showed that either the pitching or the rolling becomes unstable depending on the direction of the spin. More detailed analyses were performed by Bondi [@Bondi1986], and recently by Wakasugi [@WakasugiH23]. Case and Jalal [@Case2014] derived the growth rate of instability at slow spinning. Markeev [@Markeev1984], Pascal [@Pascal1983], and Blackowiak et al. [@Blackowiak1997] obtained the equations of the spin motion by extracting the slowly varying amplitudes of the fast oscillations of the pitching and the rolling. Moffatt and Tokieda [@MoffattTokieda2008] derived similar equations to those of Markeev [@Markeev1984] and Pascal [@Pascal1983], and pointed out the analogy to the dynamo theory. Garcia and Hubbard [@GarciaHubbard1988] obtained the expressions of the averaged torques generated by the pure pitching and the 