Explicit solution of the gravitational two-body problem at the second post-Minkowskian order
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arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
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2024
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| _version_ | 1866912008936357888 |
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| author | Bini, Donato Damour, Thibault Geralico, Andrea |
| author_facet | Bini, Donato Damour, Thibault Geralico, Andrea |
| contents | The worldlines (in harmonic coordinates) of two gravitationally interacting massive bodies at the second post-Minkowskian order are described in explicit form. Both the conservative case and the radiation-reacted case are considered. We use our results to check the changes, during scattering, of the individual momenta, as well as of the total angular momentum. High post-Newtonian order values of the $O(G^2)$ radiation-reaction acceleration components are provided for checks of future post-Newtonian computations. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2408_17193 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Explicit solution of the gravitational two-body problem at the second post-Minkowskian order Bini, Donato Damour, Thibault Geralico, Andrea General Relativity and Quantum Cosmology The worldlines (in harmonic coordinates) of two gravitationally interacting massive bodies at the second post-Minkowskian order are described in explicit form. Both the conservative case and the radiation-reacted case are considered. We use our results to check the changes, during scattering, of the individual momenta, as well as of the total angular momentum. High post-Newtonian order values of the $O(G^2)$ radiation-reaction acceleration components are provided for checks of future post-Newtonian computations. |
| title | Explicit solution of the gravitational two-body problem at the second post-Minkowskian order |
| topic | General Relativity and Quantum Cosmology |
| url | https://arxiv.org/abs/2408.17193 |