Abstract

The rotation of the physical Earth not only obeys the law of conservation of angular momentum but follows also the three-finger rule of the right-handed system. The reference frame in the Earth is most essential. The generalized Eulerian equation of motion or the Liouville equation is to represent global geodynamics in general, which is examined directly through the observation of the Earth’s rotation and surface motions, with no additional assumptions after fundamental physics. Rotational acceleration, polar motion, plate tectonics, and seismicity observed on the Earth’s surface indicate that the Earth’s angular momentum is perturbed and adjusting independently of external torques. (For more information,please refer to the PDF.)

Highlights

  • The Earth is a perpetually rotating heavenly body orbiting in space

  • The physical Earth is a multilayered, deformable, energygenerating, dissipative, and perpetually rotating heavenly body orbiting in space according to the law of conservation of angular momentum, while motion in a rotating Earth follows the three-finger rule of the right-handed system

  • Secular internal torques represent the Earth’s effort to conserve its angular momentum for a stable rotation of minimum energy configuration, which appear in the Earth independent of external torques only after polar instability has been excited

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Summary

Introduction

The Earth is a perpetually rotating heavenly body orbiting in space. The observation of polar motion, plate motion, seismicity, geological deformation, volcanism, as well as the multiple frequency-splits of the Chandler wobble [1,2] indicates motion and mass redistribution is to occur in the solid Earth. As we shall see below, free nutation arising from the Earth’s unstable rotation will play a critical role in the Earth’s equation of secular motion for the conservation of angular momentum of a perturbed Earth in the absence of external torques. The secular components of the internal torques are all on the order of 1023 ergs, to which no external counterparts are found, as secular tidal torque is already counted for This indicates that the Earth’s angular momentum is conserved independent of external torques in a secular sense, which links secular global geodynamics to the Earth’s non-rigid rotation via the equation of secular motion[15]

Generalization of the Earth’s Equation of Secular Motion
Polar Stability
Perturbation and Energy Supply
Convection
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Conclusion

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