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To describe the cluster in terms of classical mechanics, the Newtonian equations of motion are solved repeatedly namely, force equals mass times acceleration, in which the forces depend on the instantaneous positions of all the particles.
The equations of motion are solved using Galerkin method.
The equations of motion are solved by Galerkin procedure.
The equations of motion are solved via an asymptotic procedure.
The equations of motion are solved via an analytical procedure.
The governing differential equations of motion are solved numerically using state-space method.
The resultant equations of motion are solved iteratively using the linearized updated mode method.
Therefore, the following equations of motion are solved at each particle on the inner tube: (1).
The formulated nonlocal equations of motion are solved using the harmonic waveforms of the displacement field.
The equations of motion are solved using the Rung Kutta method.
The Newtonian equations of motion are solved for each simulated particle in the system.
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