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2026
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| Online Access: | https://doi.org/10.5281/zenodo.19359370 |
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| author | Radcliffe, Barry Kieran |
| author_facet | Radcliffe, Barry Kieran |
| contents | <p>This paper investigates the internal structure of the radial acceleration relation (RAR) using galaxy rotation curve data from the SPARC (Spitzer Photometry and Accurate Rotation Curves) database.</p> <p>The RAR is a well-established empirical relation linking the observed gravitational acceleration in galaxies to that predicted from their baryonic mass distributions. It is typically analyzed as a population-level correlation across many galaxies. In this work, we examine how the relation is realized within individual galaxies by reconstructing radially ordered trajectories in acceleration space.</p> <p>Using SPARC rotation curve data, baryonic and observed accelerations are computed at successive radii and plotted in logarithmic coordinates. By connecting these points sequentially, each galaxy is represented as a continuous trajectory in acceleration space.</p> <p>The analysis shows that galaxies trace coherent, ordered paths as radius increases, transitioning from high-acceleration inner regions to low-acceleration outer regions. These trajectories closely follow the mean radial acceleration relation, demonstrating that the RAR is not only a global statistical correlation but is also expressed as structured radial evolution within individual systems.</p> <p>This finding provides an additional empirical constraint for models of galaxy dynamics. Any successful theoretical framework must reproduce both the global RAR and its realization as a radially ordered trajectory within galaxies.</p> |
| format | Recurso digital |
| id | zenodo_https___doi_org_10_5281_zenodo_19359370 |
| institution | Zenodo |
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| publishDate | 2026 |
| publisher | Zenodo |
| record_format | zenodo |
| spellingShingle | Paper 12 (Second Revision) Galaxy Trajectories in Acceleration Space and the Radial Structure of the Radial Acceleration Relation Barry Kieran Radcliffe and Chat GPT March 31st, 2026 Radcliffe, Barry Kieran <p>This paper investigates the internal structure of the radial acceleration relation (RAR) using galaxy rotation curve data from the SPARC (Spitzer Photometry and Accurate Rotation Curves) database.</p> <p>The RAR is a well-established empirical relation linking the observed gravitational acceleration in galaxies to that predicted from their baryonic mass distributions. It is typically analyzed as a population-level correlation across many galaxies. In this work, we examine how the relation is realized within individual galaxies by reconstructing radially ordered trajectories in acceleration space.</p> <p>Using SPARC rotation curve data, baryonic and observed accelerations are computed at successive radii and plotted in logarithmic coordinates. By connecting these points sequentially, each galaxy is represented as a continuous trajectory in acceleration space.</p> <p>The analysis shows that galaxies trace coherent, ordered paths as radius increases, transitioning from high-acceleration inner regions to low-acceleration outer regions. These trajectories closely follow the mean radial acceleration relation, demonstrating that the RAR is not only a global statistical correlation but is also expressed as structured radial evolution within individual systems.</p> <p>This finding provides an additional empirical constraint for models of galaxy dynamics. Any successful theoretical framework must reproduce both the global RAR and its realization as a radially ordered trajectory within galaxies.</p> |
| title | Paper 12 (Second Revision) Galaxy Trajectories in Acceleration Space and the Radial Structure of the Radial Acceleration Relation Barry Kieran Radcliffe and Chat GPT March 31st, 2026 |
| url | https://doi.org/10.5281/zenodo.19359370 |