Document Type
Report
Source Publication Title
Technical Report 298
Abstract
The motion of a particle in a special relativistic framework is studied numerically. Difference equations which are covariant are developed first. It is then shown how computations can be done in both the lab and rocket frames so that the numerical results are related by the Lorentz transformation. Finally, assuming the usual force formula for harmonic oscillation, it is shown that the dynamical equation is necessarily nonlinear and trajectories are studied numerically for various initial data.
Disciplines
Mathematics | Physical Sciences and Mathematics
Publication Date
1-1-1988
Language
English
License
This work is licensed under a Creative Commons Attribution-NonCommercial-Share Alike 4.0 International License.
Recommended Citation
Greenspan, Donald, "Covariant Computation in Special Relativistic Dynamics" (1988). Mathematics Technical Papers. 240.
https://mavmatrix.uta.edu/math_technicalpapers/240