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PreprintCC BY 4.0arXiv

Radiative losses from unbound orbits at quadratic order in spin from MPM formalism

  • Donato Bini
  • Giorgio Di Russo
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Abstract

We study the spinning two-body system in the aligned spin case for hyperboliclike motions computing all radiative losses (at the 2PN absolute accuracy and including spin-squared corrections) using the MPM formalism and generalizing previous results valid at linear order in spin [Phys. Rev. D \textbf{108}, no.6, 064049 (2023)]. Leading PM order results are checked against existing literature, whereas higher-order PM results (within the 2PN accuracy) are new with this work. As a by-product of our general results we analyze the spinning situation which supports radial fall (at 2PN and including spin-squared accuracy level contributions), showing that as soon as the PN accuracy increases deviations from radial fall appear necessarily.

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Cite

BibTeXRIS
BibTeX
@misc{bini2026radiative,
  title = {{Radiative losses from unbound orbits at quadratic order in spin from MPM formalism}},
  author = {Donato Bini and Giorgio Di Russo},
  howpublished = {arXiv},
  year = {2026},
  month = sep,
  doi = {10.48550/arxiv.2609.20185},
  eprint = {2609.20185},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2609.20185},
  note = {CC BY 4.0},
}
RIS
TY  - UNPB
TI  - Radiative losses from unbound orbits at quadratic order in spin from MPM formalism
AU  - Donato Bini
AU  - Giorgio Di Russo
PY  - 2026
DA  - 2026/09/01
PB  - arXiv
DO  - 10.48550/arxiv.2609.20185
UR  - https://arxiv.org/abs/2609.20185
AB  - We study the spinning two-body system in the aligned spin case for hyperboliclike motions computing all radiative losses (at the 2PN absolute accuracy and including spin-squared corrections) using the MPM formalism and generalizing previous results valid at linear order in spin [Phys. Rev. D \textbf{108}, no.6, 064049 (2023)]. Leading PM order results are checked against existing literature, whereas higher-order PM results (within the 2PN accuracy) are new with this work. As a by-product of our general results we analyze the spinning situation which supports radial fall (at 2PN and including spin-squared accuracy level contributions), showing that as soon as the PN accuracy increases deviations from radial fall appear necessarily.
ER  -