Timelike orbits around accelerating black holes

We study the geodesics of massive particles around an accelerating Schwarzschild black hole. show that radius innermost stable circular orbit and angular momentum a particle at this decrease by increasing acceleration. Apart from quantitative influence, acceleration qualitatively changes physics. in hole spacetime there exists outermost flat, de Sitter, anti--de Sitter backgrounds. Investigations radial acts like repulsive force sense test holes can move radially outward, unless large negative value cosmological constant background to compensate force. also investigate precession perihelion orbits holes. The would be larger compared nonaccelerating case. It is shown could opposite motion.