This work is devoted to study the effects of Einstein-Æther gravity on the dynamics of magnetized particles orbiting a static, spherically symmetric and uncharged black hole immersed in an external asymptotically uniform magnetic field in both comoving and proper observers frames. The analysis is carried out by varying the free parameters $c_{13}$ and $c_{14}$ of the Einstein-Æther theory and noticing their impacts on the particle trajectories, radii of the innermost stable circular orbits (ISCOs), and the amount of center-of-mass energy produced as a result of the collision. The strength of the magnetic field and the location of circular orbits is significantly affected by varying the above free parameters. We have also made detailed comparisons between the effects of parameters of Einstein-Æther and spin of rotating Kerr black holes on ISCO followed by magnetized particles and noticed that both black holes depict similar behavior for suitable values of $c_{13}$, $c_{14}$, spin and the magnetic coupling parameters which provide exactly the same values for the ISCO. Finally, we have analyzed the cases when a static Æther black hole can be described as Schwarzschild black hole in modified gravity (MOG) with the corresponding values of the parameters of the black holes.

这项工作致力于研究爱因斯坦引力对磁化粒子动力学的影响，该磁化粒子围绕一个静态的，球形对称且不带电的黑洞运动，该黑洞沉浸在共同运动的和合适的观察者框架中的外部渐近均匀磁场中。通过更改自由参数进行分析$C_{13}$ 和 $C_{14}$的理论，并注意到它们对粒子轨迹，最内层稳定圆轨道（ISCO）的半径以及碰撞产生的质心能量的影响。改变上述自由参数会显着影响磁场强度和圆形轨道的位置。我们还对爱因斯坦-瑟特参数和旋转的Kerr黑洞的自旋对ISCO以及随后被磁化粒子的自旋的影响进行了详细的比较，并注意到对于适当的σ值，两个黑洞都表现出相似的行为。$C_{13}$， $C_{14}$，自旋和磁耦合参数，它们为ISCO提供了完全相同的值。最后，我们分析了在静态重力（MOG）中将静态另一个黑洞描述为Schwarzschild黑洞的情况，并给出了黑洞参数的相应值。