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Physics of Non-Inertial Reference Frames

Classical Physics 2015-05-13 v6 General Physics

Abstract

Physics of non-inertial reference frames is a generalizing of Newton's laws to any reference frames. The first, Law of Kinematic in non-inertial reference frames reads: the kinematic state of a body free of forces conserves and determinates a constant n-th order derivative with respect to time being equal in absolute value to an invariant of the observer's reference frame. The second, Law of Dynamic extended Newton's second law to non-inertial reference frames and also contains additional variables there are higher derivatives of coordinates. Dynamics Law in non-inertial reference frames reads: a force induces a change in the kinematic state of the body and is proportional to the rate of its change. It is mean that if the kinematic invariant of the reference frame is n-th derivative with respect the time, then the dynamics of a body being affected by the force F is described by the (n+1)-th differential equation. The third, Law of Static in non-inertial reference frames reads: the sum of all forces acting a body at rest is equal to zero.

Keywords

Cite

@article{arxiv.0708.1584,
  title  = {Physics of Non-Inertial Reference Frames},
  author = {Timur F. Kamalov},
  journal= {arXiv preprint arXiv:0708.1584},
  year   = {2015}
}

Comments

7 pages, Latex

R2 v1 2026-06-21T09:06:47.463Z