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equation of motion |
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equation of motion [i′kwā·zhən əv ′mō·shən] (fluid mechanics) One of a set of hydrodynamical equations representing the application of Newton's second law of motion to a fluid system; the total acceleration on an individual fluid particle is equated to the sum of the forces acting on the particle within the fluid. (mechanics) Equation which specifies the coordinates of particles as functions of time. A differential equation, or one of several such equations, from which the coordinates of particles as functions of time can be obtained if the initial positions and velocities of the particles are known. (quantum mechanics) A differential equation which enables one to predict the statistical distribution of the results of any measurement upon a system at any time if the initial dynamical state of the system is known. How to thank TFD for its existence? Tell a friend about us, add a link to this page, add the site to iGoogle, or visit webmaster's page for free fun content. |
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We start with the three equations of motion for straight-line flow (no curvature): The custom software uses equations of motion derived from the guiding center approximation, combined with adiabatic invariance of magnetic flux through a particle orbit and conservation of energy, to calculate the charged particle's trajectory Eqs. Mathematicians Richard Montgomery of the University of California, Santa Cruz and Alain Chenciner of the Bureau des Longitudes in Paris describe their new solution of the equations of motion for three gravitationally interacting bodies in a report available at http://orca. |
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