Abrha Mesfin Gebrehaweria2025-06-182025-06-21https://repository.mu.edu.et/handle/123456789/58910.82589/muir-43910.82589/muir-439We investigated the relative proper motions and their corresponding tangential velocities with respect to the field stars and the LMC. A 15 arcminiutes radius area was set around the target stars to identify the field stars of the LMC. A step wise Parallax, CMD, and PM selections were applied to minimize foreground contaminations. Astrometric excess noise information was used to filter the field stars from star like objects such as unresolved binaries. Radial distances and magellanic coordinates were calculated to confirm if our target stars were members of the LMC and whether they escape from the LMC. The relative proper motions of the target stars with respect to their field is found in the range of (0.204 ± 0.662)- (19.3 ± 0.64) masyr-1 with their corresponding relative tangential velocities of (48.5 ±157)- (4569.8±151.3) kms-1. Hence, eight of them are high velocity runaways and the two stars are not runaways. We also calculated the relative proper motions and tangential velocities of our target stars with respect to the LMC and we found proper motions with in the range (0.64 ± 0.13) - (19.77± 0.14) masyr-1 with their corresponding tangential velocities in the range of (150.5±30.30 ) -( (4687.3± 33.68) kms-1. We proposed the ejection scenarios of the target stars and finally concluded that eight of our target stars are runaways of the LMC but two target stars are not runaway.enThesis