Nbody Simulation Of Planetary Spin In Runaway/oligarchic Stages

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In our planetary system, all planets are rotating with wide varieties of obliquities and spin rates. Especially current spin properties of terrestrial planets give us much useful information to constrain the scenario of planetary formation. Ohtsuki and Ida(1998) have investigated the spin of protoplanet which accreted in a disk of planetesimals with non uniform spatial distribution. Their three-body calculations show that the current spin values of the Earth-Moon system is achieved by planetesimal accretion only in the case planetesimals are initially existing around the feeding zones of the protoplanet. In our study, we calculate the whole process of planetary spin by Nbody simulations during their growth stage. Our results show that the distribution of runaway bodies' obliquities are nearly isotropic after runaway growth stage. Additionally, planetesimals acquire their spin angular velocity up to their break-up speed but afterward runaway bodies begin to lose their spin angular velocity as they eat other small bodies. According to our results, runaway bodies statistically have rotation periods between 1-10 hours.

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