Karwowska, Hanna (2025) Post-Newtonian Corrections to the Kepler Problem. Bachelor's Thesis, Physics.
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Abstract
To accurately describe motion in the Kepler two-body problem, such as the precessing orbit of Mercury, Kepler’s Hamiltonian requires higher-order Post-Newtonian (PN) corrections from General Relativity. Alternative scalar field theories of gravity can also be studied to compare the resulting PN corrections and their impacts on two-body dynamics. While Nordström’s theory of gravity with conformal coupling in the metric has been examined previously, the corrections arising from disformal coupling in Dirac-Born-Infeld (DBI) scalar field theory have not yet been investigated in detail. The aim of this research was to calculate the leading-order PN corrections to the Kepler problem Hamiltonian under disformal coupling and to understand how the resulting dynamics differs from the classical and relativistic cases. We find that the leading PN correction to the Hamiltonian with disformal coupling falls off as proportionally to (r')^2/r^4 and does not support closed, bounded orbits, in contrast to General Relativity and Nordström’s theory.
| Item Type: | Thesis (Bachelor's Thesis) |
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| Supervisor name: | Roest, D. and Seri, M. |
| Degree programme: | Physics |
| Thesis type: | Bachelor's Thesis |
| Language: | English |
| Date Deposited: | 14 Jul 2025 13:41 |
| Last Modified: | 14 Jul 2025 13:41 |
| URI: | https://fse.studenttheses.ub.rug.nl/id/eprint/36137 |
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