Nonlinear Dissipative Forces in Celestial Motion Using the Method of Multiple Scales
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arXiv
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| Autori principali: | , , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866915039145885696 |
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| author | Khatiwada, Raju S. Ortiz, C. Giri, Basanta R. |
| author_facet | Khatiwada, Raju S. Ortiz, C. Giri, Basanta R. |
| contents | This paper investigates the influence of nonlinear dissipative forces, specifically Gravitational Friction (GF), on the precession of celestial bodies within the framework of general relativity. We derive a modified line element by introducing a density-dependent term to model interactions between planetary bodies and the low-density interplanetary medium, providing a covariant description of dissipative forces in planetary motion. The resulting metric modification leads to corrections in the perihelion precession of Mercury, also reproducing the classical relativistic predictions. Utilizing the method of multiple scales, we analyze perturbative effects induced by GF. Using this model, we successfully constrain the medium density near Mercury to approximately $ρ_0 \approx 1.12 \times 10^{-10} \, \text{kg/m}^3$. These findings offer a new approach for incorporating dissipative mechanisms into general relativity, with potential applications in other astrophysical systems. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2411_18742 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Nonlinear Dissipative Forces in Celestial Motion Using the Method of Multiple Scales Khatiwada, Raju S. Ortiz, C. Giri, Basanta R. General Relativity and Quantum Cosmology Earth and Planetary Astrophysics Solar and Stellar Astrophysics This paper investigates the influence of nonlinear dissipative forces, specifically Gravitational Friction (GF), on the precession of celestial bodies within the framework of general relativity. We derive a modified line element by introducing a density-dependent term to model interactions between planetary bodies and the low-density interplanetary medium, providing a covariant description of dissipative forces in planetary motion. The resulting metric modification leads to corrections in the perihelion precession of Mercury, also reproducing the classical relativistic predictions. Utilizing the method of multiple scales, we analyze perturbative effects induced by GF. Using this model, we successfully constrain the medium density near Mercury to approximately $ρ_0 \approx 1.12 \times 10^{-10} \, \text{kg/m}^3$. These findings offer a new approach for incorporating dissipative mechanisms into general relativity, with potential applications in other astrophysical systems. |
| title | Nonlinear Dissipative Forces in Celestial Motion Using the Method of Multiple Scales |
| topic | General Relativity and Quantum Cosmology Earth and Planetary Astrophysics Solar and Stellar Astrophysics |
| url | https://arxiv.org/abs/2411.18742 |