mu]] the variations of the action give equivalent equations of motion
The initial macrostate of that two-body system was compatible with a huge numbe of its possible microstates: and the overwhelming majority of those compatible microstates were ones which the deterministic equations of motions
entail would evolve, over the next ten minutes, towards states in which the temperature-difference between those two bodies is smaller.
Equations (17) and (18) are the finite element equations of motion
For the purpose of the present paper, I adopt something like this second criterion, though the precise sense of the claim does not seem to be important for my case: for I argue against the view that classical mechanics is reversible by producing a collection of systems which are routinely treated by classical mechanics, yet which are clearly not reversible, and which do not have invariant equations of motion
The observed vibro-impact system has two degrees of freedom, so the corresponding governing nonlinear differential equations of motion
The authors explore the need for quantum mechanics and its physical basis to discuss representation theory, equations of motion
, bound states of simple systems, symmetries and conservation laws, angular momentum, approximation methods, the three-body problem and quantization of radiation fields.
After solving the equations of motion
using HTT the vibration response of the system in time domain is obtained.
THE EQUATIONS OF MOTION
FOR THE WIND-DRIVEN MARINE WATER CIRCULATION
1) and (2), Lagrangian equations of motion
 allows us to predict the behavior of the particle trajectory.
When such modified molecular forces are incorporated along with gravity into the appropriate equations of motion
, Greenspan can compute how a collection of these particles would behave.
By progressively building on the formulation and solution of simpler problems associated with aircraft performance, static stability, and control, the author guides readers from fundamental principles to the development of the general equations of motion
and continues through dynamic stability, aircraft handling qualities, and flight simulation.
They focus on general kinetic equations that tell the position, velocity, and acceleration of particles and/or rigid bodies without regard to the forces acting on the bodies; and general equations of motion
that tell how the motion of particles and rigid bodies evolves as a function of time under the action of forces.