Numerical solutions of the complete two-body system in QUMOND
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arXiv
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| Format: | Preprint |
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2025
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| _version_ | 1866911258914062336 |
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| author | Pflamm-Altenburg, J. |
| author_facet | Pflamm-Altenburg, J. |
| contents | Due to the non-linearity of the QUMOND field equations, in the modelling of binaries so far the two-body system is replaced by an effective one-body system, where the central particle contains the total mass of both binary components and is orbited by a massless test particle. In this work, the discrepancy between the effective one-body treatment and the complete two-body solution in QUMOND is quantified. Particles are treated as limits of Dirac sequences. Then, the QUMOND contribution to the total kinematical acceleration of a particle is expressed as a Green's integral which is calculated numerically. In the non-linear transition regime the kinematical acceleration of the effective one-body system with a total mass of 2 Msun is up to a factor of 1.44 higher than the Newtonian acceleration, whereas the acceleration is only boosted by a factor of 1.2--1.3 in the two-body system in the case of the simple transition function. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2509_01493 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Numerical solutions of the complete two-body system in QUMOND Pflamm-Altenburg, J. Instrumentation and Methods for Astrophysics Astrophysics of Galaxies Due to the non-linearity of the QUMOND field equations, in the modelling of binaries so far the two-body system is replaced by an effective one-body system, where the central particle contains the total mass of both binary components and is orbited by a massless test particle. In this work, the discrepancy between the effective one-body treatment and the complete two-body solution in QUMOND is quantified. Particles are treated as limits of Dirac sequences. Then, the QUMOND contribution to the total kinematical acceleration of a particle is expressed as a Green's integral which is calculated numerically. In the non-linear transition regime the kinematical acceleration of the effective one-body system with a total mass of 2 Msun is up to a factor of 1.44 higher than the Newtonian acceleration, whereas the acceleration is only boosted by a factor of 1.2--1.3 in the two-body system in the case of the simple transition function. |
| title | Numerical solutions of the complete two-body system in QUMOND |
| topic | Instrumentation and Methods for Astrophysics Astrophysics of Galaxies |
| url | https://arxiv.org/abs/2509.01493 |