Innermost stable circular orbits of spinning test particles in Schwarzschild and Kerr space-times

@article{Jefremov2015InnermostSC,
  title={Innermost stable circular orbits of spinning test particles in Schwarzschild and Kerr space-times},
  author={Paul I. Jefremov and Oleg Yu. Tsupko and G. S. Bisnovatyi-kogan},
  journal={arXiv: General Relativity and Quantum Cosmology},
  year={2015},
  pages={124030}
}
We consider the motion of classical spinning test particles in Schwarzschild and Kerr metrics and investigate innermost stable circular orbits (ISCO). The main goal of this work is to find analytically the small-spin corrections for the parameters of ISCO (radius, total angular momentum, energy, orbital angular frequency) of spinning test particles in the case of vectors of black hole spin, particle spin and orbital angular momentum being collinear to each other. We analytically derive the… 

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