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Fig. 4

image

Frequency spectrum of ζ = sin(I/ 2)exp(ıΩ) from a 10 Myr numerical orbital integration of (291) Alice. The abscissa is the frequency ν in arcseconds per year, and the ordinate in amplitude of the quasiperiodic approximation of ζ with Aexp [ı(νt + φ)]. The principal spectral lines are labeled with the standard notation in planetary studies: (i) s is the proper frequency; (ii) s6 is the principal planetary frequency due to the nodal precession of Saturn; (iii) s4, s7 and s8 are planetary frequencies with smaller amplitudes; and (iv) s ± (gg6) are smaller nonlinear terms that also combine the perihelion proper and forced frequencies (due to the proximity of the ν6 secular resonance at the bottom of the main asteroid belt).

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