Parameters of Moving Particles: What's Needed?

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To completely describe the movement of a particle, the necessary parameters depend on its structure. A point particle requires three degrees of freedom to account for its position in space. However, for particles with structure, additional parameters are needed to describe rotational and vibrational movements, increasing the degrees of freedom. The complexity of the particle's motion is directly related to its physical characteristics. Understanding these parameters is essential for accurately modeling particle dynamics.
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How much and what type of parameters needs and enough to completely describe moving?
Of particle for example.
 
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If you have a point particle then there are 3 degrees of freedom. If it is a particle with some structure then there can be other degrees of freedom such as rotation and vibration.
 
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