Gravitational friction from d’Alembert’s principle
Abstract The least action principle played a central role in the development of modern physics. A major drawback of the principle is that its applicability is limited to holonomic constraints. In the present work, we investigate the energy lost by particles as a result of the gravitational interacti...
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| Format: | Article |
| Language: | English |
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Nature Portfolio
2023-06-01
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| Series: | Scientific Reports |
| Online Access: | https://doi.org/10.1038/s41598-023-36977-6 |
| _version_ | 1797789849764233216 |
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| author | C. Ortiz Raju S. Khatiwada |
| author_facet | C. Ortiz Raju S. Khatiwada |
| author_sort | C. Ortiz |
| collection | DOAJ |
| description | Abstract The least action principle played a central role in the development of modern physics. A major drawback of the principle is that its applicability is limited to holonomic constraints. In the present work, we investigate the energy lost by particles as a result of the gravitational interaction in a homogeneous low-density medium subject to non-holonomic constraints. We perform the calculation for an arbitrary particle and outline the specific result for photons. The energy lost is calculated from first principles based on the principle of virtual work and the d’Alembert principle. Under the formalism mentioned above, the dissipative nature of the effect is established. Furthermore, we show that the results agree with an alternative derivation based on continuum mechanics and the Euler–Cauchy stress principle. |
| first_indexed | 2024-03-13T01:56:23Z |
| format | Article |
| id | doaj.art-6e09e5b41fbb4694be0a905cbe9f265f |
| institution | Directory Open Access Journal |
| issn | 2045-2322 |
| language | English |
| last_indexed | 2024-03-13T01:56:23Z |
| publishDate | 2023-06-01 |
| publisher | Nature Portfolio |
| record_format | Article |
| series | Scientific Reports |
| spelling | doaj.art-6e09e5b41fbb4694be0a905cbe9f265f2023-07-02T11:12:13ZengNature PortfolioScientific Reports2045-23222023-06-011311610.1038/s41598-023-36977-6Gravitational friction from d’Alembert’s principleC. Ortiz0Raju S. Khatiwada1Unidad Académica de Física, Universidad Autónoma de ZacatecasGoldenGate International College, Tribhuvan UniversityAbstract The least action principle played a central role in the development of modern physics. A major drawback of the principle is that its applicability is limited to holonomic constraints. In the present work, we investigate the energy lost by particles as a result of the gravitational interaction in a homogeneous low-density medium subject to non-holonomic constraints. We perform the calculation for an arbitrary particle and outline the specific result for photons. The energy lost is calculated from first principles based on the principle of virtual work and the d’Alembert principle. Under the formalism mentioned above, the dissipative nature of the effect is established. Furthermore, we show that the results agree with an alternative derivation based on continuum mechanics and the Euler–Cauchy stress principle.https://doi.org/10.1038/s41598-023-36977-6 |
| spellingShingle | C. Ortiz Raju S. Khatiwada Gravitational friction from d’Alembert’s principle Scientific Reports |
| title | Gravitational friction from d’Alembert’s principle |
| title_full | Gravitational friction from d’Alembert’s principle |
| title_fullStr | Gravitational friction from d’Alembert’s principle |
| title_full_unstemmed | Gravitational friction from d’Alembert’s principle |
| title_short | Gravitational friction from d’Alembert’s principle |
| title_sort | gravitational friction from d alembert s principle |
| url | https://doi.org/10.1038/s41598-023-36977-6 |
| work_keys_str_mv | AT cortiz gravitationalfrictionfromdalembertsprinciple AT rajuskhatiwada gravitationalfrictionfromdalembertsprinciple |