| Issue |
EPL
Volume 119, Number 1, July 2017
|
|
|---|---|---|
| Article Number | 10001 | |
| Number of page(s) | 6 | |
| Section | General | |
| DOI | https://doi.org/10.1209/0295-5075/119/10001 | |
| Published online | 29 August 2017 | |
Relativistic rotation dynamics —Formalism and examples
1 Department of Applied Physics, University of Cantabria - E-39005 Santander, Spain
2 Department of Physics and CFisUC, University of Coimbra - P-3004-516 Coimbra, Portugal
3 Department of Mathematics, Statistics and Computation, University of Cantabria - E-39005 Santander, Spain
Received: 26 July 2017
Accepted: 16 August 2017
We obtain the relativistic rotation dynamical equations by using the Hamiltonian-Lagrangian formalism. After establishing the dynamical equation for the relativistic rotation, we derive the relation between the rotational-kinetic-energy variation and the angular-momentum variation. Then, we discuss three examples that illustrate how this special relativity formalism deals with rotational processes of systems acted upon by external torques, including cases in which dissipative forces are present.
PACS: 03.30.+p – Special relativity / 11.10.Ef – Lagrangian and Hamiltonian approach / 45.20.dc – Rotational dynamics
© EPLA, 2017
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