Research Article

The Euler-Lagrange Equations in Rotating Frames

Adrian Sfarti
UC Berkeley, USA
* Corresponding author
DOI icon 10.24018/ejphysics.2023.5.1.236

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Submitted 2022-12-18
Published 2023-02-10

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Article Main Content

We are interested in deriving the Euler-Lagrange equations of motion in rotating frames of reference since these are the real-life conditions encountered in every day. Our paper is divided into two main sections, the first section deals with centrally rotating frame, the second section deals with the peripherally rotating frame of reference in the relativistic regime of speeds.
Keywords: Euler-Lagrange Equations General Coordinate Transformations Relativistic Regime of Speeds Uniform Rotation Motion

References

  1. Sfarti A. Electrodynamics in Uniformly Rotating Frames the Central Observer Point of View. Theoretical Physics, 2017;2(4).
     Google Scholar
  2. Sfarti A. Relativistic Dynamics and Electrodynamics in Uniformly Accelerated and in Uniformly Rotating Frames-The General Expressions for the Electromagnetic 4-Vector Potential, IJPOT, 2017; 3(2).
     Google Scholar
  3. Sfarti A. Electrodynamics in Uniformly Rotating Frames as Viewed from an Inertial Frame. IJPOT, 2017;3(1).
     Google Scholar
  4. Hauck JC, Mashhoon B. Electromagnetic waves in a rotating frame of reference, Ann. Der Phys., 2003;12(5).
     Google Scholar
  5. Mashhoon B, Electrodynamics in a rotating frame of reference, PLA, 1989;139(3-4).
     Google Scholar
  6. Nelson RA. Generalized Lorentz transformation for an accelerated, rotating frame of reference, J.Math. Phys., 1987;28.
     Google Scholar
  7. Nikolic H. Relativistic contraction and related effects in non-inertial frames, Phys. Rev. A, 2000;61.
     Google Scholar
  8. Moller C. The Theory of Relativity, Oxford Press,1960.
     Google Scholar
  9. Sfarti A. Euler-Lagrange Solution for Calculating Particle Orbits in Gravitational Fields, FIZIKA A, 2010; 4(19).
     Google Scholar
  10. Sfarti A. Relativistic electrodynamics Lagrangian and Hamiltonian for particle accelerators, IJNEST, 2010;5,(3).
     Google Scholar


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