Analytic solutions for the motion of spinning particles near brane-world black hole

The general motion of spinning test particles to the leading order approximation of spin in the brane-world spacetime is investigated. Analytical integrations for the equations of motion and linear shifts in orbital frequency are obtained. As a result, we found that both the nodal precession and the periastron precession become larger when the tidal charge $b$ of brane-world spacetime becomes smaller. For the periastron precession, the effect is further amplified as the spin increases. Our work can potentially be applied to the study of gravitational waveforms of Extreme Mass Ratio Inspirals with spin in brane-world spacetime.