Measures of basins of attraction in spin-orbit dynamics

摘要: We consider a dissipative spin-orbit model where it is assumed that the orbit of satellite Keplerian, obliquity zero, and effects depend linearly on relative angular velocity. The measure basins attraction associated to periodic quasi-periodic attractors numerically investigated. results interaction among physically relevant parameters, namely, orbital eccentricity, equatorial oblateness constant. In particular, appears that, for astronomically parameter values, low eccentricities (as in Moon’s case) about 96% initial data belong basin 1/1 resonance; larger values higher order resonances become dominant providing mechanism explaining observed state Mercury into 3/2 resonance.