Analytic solutions for the motion of spinning particles near braneworld black hole

The general motion of spinning test particles to the leading-order approximation of spin in the braneworld 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 one become larger when the tidal charge b of the braneworld spacetime becomes smaller. For the periastron precession, the effect is further amplified as the spin increases. Energy and angular momentum fluxes under the quadrupole approximation and the orbit in extreme mass ratio inspirals are also calculated, hence providing a viable framework to the study of gravitational waveforms with spin in the braneworld spacetime.