四阶后牛顿近似下椭圆轨道的运动常数与基频：共旋贡献
Constants of motion and fundamental frequencies for elliptic orbits at fourth post-Newtonian order: aligned-spin contributions
- University of Southampton（南安普顿大学）
- Max-Planck-Institute for Gravitational Physics (Albert-Einstein-Institute)（马克斯·普朗克引力物理研究所（爱因斯坦研究所））
机构由 AI 辅助整理，请以论文原文为准。
AI总结：
该研究计算了四阶后牛顿近似下共旋偏心椭圆轨道的运动常数与基频映射的全部自旋贡献，完善了相关稳定性判据与散射角的自旋修正。
AI中文摘要：
对于具有共旋的偏心系统，我们计算了四阶后牛顿（4PN）近似下，运动常数（能量与角动量）与基频（径向与方位角）之间规范不变保守映射的所有自旋贡献。这将文献[arXiv:2511.10735]中推导的无自旋映射扩展为包含自旋的线性、二次、三次和四次项，以及相关的自旋可形变参数。我们还得到了红移、陀螺不变量等导出量，以及圆轨道关联量。我们发现，决定最内稳定圆轨道（ISCO）无量纲频率的Blanchet-Iyer-Favata后牛顿稳定性判据，实际上与圆轨道的近星点进动密切相关。最后，对于无界轨道，我们完成了4PN散射角的所有自旋贡献。
英文摘要：
For eccentric systems with aligned spins, we compute all spin contributions to the gauge-invariant conservative map between the constants of motion (energy and angular momentum) and the fundamental (radial and azimuthal) frequencies at the fourth post-Newtonian order. This extends the nonspinning map derived in [arXiv:2511.10735] to include terms that are linear, quadratic, cubic, and quartic in spin, as well as the associated spin-deformability parameters. We also obtain derived quantities such as the redshift and gyroscopic invariants, as well as circular links. We notice that the Blanchet-Iyer-Favata post-Newtonian stability criterion that determines the dimensionless frequency of the innermost stable circular orbit (ISCO) is in fact intricately related to the periastron advance for circular orbits. Finally, in the case of unbound orbits, we complete the 4PN scattering angle with all spin contributions.
