# Rotation of Mercury: Theoretical Analysis of the Dynamics of a Rigid Ellipsoidal Planet

@article{Laslett1966RotationOM, title={Rotation of Mercury: Theoretical Analysis of the Dynamics of a Rigid Ellipsoidal Planet}, author={Lawrence J. Laslett and Andrew M. Sessler}, journal={Science}, year={1966}, volume={151}, pages={1384 - 1385} }

The second-order nonlinear differential equation for the rotation of Mercury implies locked-in motion when the period is within the range where e is the eccentricity and T is the period of Mercury's orbit, the time t is measured from perihelion, and λ is a measure of the planet's disiortion. For values near 2T/3, the instantaneous period oscillates about 2T/3 with period (21λe/2)T.

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This ignores the (small) effect of the non