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We investigate the dynamics of a neutral and a charged particle around ablack hole in modified gravity immersed in magnetic field. Our focus is on thescalar-tensor-vector theory as modified gravity. We are interested to explorethe conditions on the energy of the particle under which it can escape toinfinity after collision with another neutral particle in the vicinity of theblack hole. We calculate escape velocity of particle orbiting in the innermoststable circular orbit (ISCO) after the collision. We study the effects ofmodified gravity on the dynamics of particles. Further we discuss how thepresence of magnetic field in the vicinity of black hole, effects the motion ofthe orbiting particle. We show that the stability of ISCO increases due topresence of magnetic field. It is observed that a particle can go arbitraryclose to the black hole due to presence of magnetic field. Furthermore ISCO forblack hole is more stable as compared with Schwarzschild black hole. We alsodiscuss the Lyapunov exponent and the effective force acting on the particle inthe presence of magnetic field.

Timelike geodesics of a modified gravity black hole immersed in an axially symmetric magnetic field