Numerical Analysis of the Doppler Effect in Circular Motion with Modulated Angular Velocity Using Python
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| Titel: | Numerical Analysis of the Doppler Effect in Circular Motion with Modulated Angular Velocity Using Python |
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| Autoren: | Firaina, Radha, Pramudya, Yudhiakto |
| Quelle: | Journal of Physics and Its Applications; Vol 7, No 4 (2025): November 2025; 143-149 ; 2622-5956 |
| Verlagsinformationen: | Diponegoro University Semarang Indonesia |
| Publikationsjahr: | 2025 |
| Bestand: | Universitas Diponegoro: Undip E-Journal System (UEJS) Portal |
| Schlagwörter: | Doppler Effect, Circular Motion, Modulated Angular Velocity, Numerical Analysis, Python Simulation |
| Beschreibung: | This study presents a numerical simulation of the Doppler effect for an object in circular motion with time-modulated angular velocity, developed using the Python programming language. The model computes angular velocity, angular position, and observed frequency as functions of time based on a modified Doppler formulation. Two simulation models were implemented: an interactive mode using an IPython widget slider to vary the modulation constant (0 ≤ b ≤ 1), and a comparative mode evaluating three representative modulation strengths (b = 0.15, 0.20, 0.25). The results demonstrate that the modulation of angular velocity produces periodic fluctuations in the observed frequency, consistent with theoretical predictions. Sensitivity testing confirmed numerical stability (∆f < 0.01 Hz) with smaller time steps (∆t = 0.01 s), validating the robustness of the computational model. These findings quantitatively reveal the relationship between modulation parameters and Doppler frequency shifts, providing a reproducible and pedagogically effective framework for studying non-uniform circular motion and its physical implications in astrophysical and acoustic systems. |
| Publikationsart: | article in journal/newspaper |
| Dateibeschreibung: | application/pdf |
| Sprache: | English |
| Relation: | https://ejournal2.undip.ac.id/index.php/jpa/article/view/26584/13397; https://ejournal2.undip.ac.id/index.php/jpa/article/view/26584 |
| DOI: | 10.14710/jpa.v7i4.26584 |
| Verfügbarkeit: | https://ejournal2.undip.ac.id/index.php/jpa/article/view/26584 https://doi.org/10.14710/jpa.v7i4.26584 |
| Rights: | Copyright (c) 2025 Journal of Physics and Its Applications ; https://creativecommons.org/licenses/by-sa/4.0 |
| Dokumentencode: | edsbas.1DCD18E5 |
| Datenbank: | BASE |
Nájsť tento článok vo Web of Science | Abstract: | This study presents a numerical simulation of the Doppler effect for an object in circular motion with time-modulated angular velocity, developed using the Python programming language. The model computes angular velocity, angular position, and observed frequency as functions of time based on a modified Doppler formulation. Two simulation models were implemented: an interactive mode using an IPython widget slider to vary the modulation constant (0 ≤ b ≤ 1), and a comparative mode evaluating three representative modulation strengths (b = 0.15, 0.20, 0.25). The results demonstrate that the modulation of angular velocity produces periodic fluctuations in the observed frequency, consistent with theoretical predictions. Sensitivity testing confirmed numerical stability (∆f < 0.01 Hz) with smaller time steps (∆t = 0.01 s), validating the robustness of the computational model. These findings quantitatively reveal the relationship between modulation parameters and Doppler frequency shifts, providing a reproducible and pedagogically effective framework for studying non-uniform circular motion and its physical implications in astrophysical and acoustic systems. |
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| DOI: | 10.14710/jpa.v7i4.26584 |