@misc{10481/102436, year = {2024}, month = {8}, url = {https://hdl.handle.net/10481/102436}, abstract = {We prove that Bertrand’s property cannot occur in a special-relativistic scenario using the properties of the period function of planar centres. We also explore some integrability properties of the relativistic Coulomb problem and the asymptotic behavior of collision solutions.}, organization = {Ministerio de Ciencia, Innovación Universidades/Agencia Estatal de Investigación PID2021-128418NA-I00, PID2023-146424NB-I00}, organization = {Generalitat de Catalunya, Spain 2021 SGR 00113}, publisher = {Elsevier}, keywords = {Bertrand’s property}, keywords = {Relativistic oscillator}, keywords = {Coulomb’s law}, keywords = {Strong integrability}, title = {Relativistic effects in the dynamics of a particle in a Coulomb field}, doi = {10.1016/j.physd.2025.134534}, author = {Ortega Ríos, Rafael and Rojas, David}, }