| Modified Newtonian Dynamics (MOND) has long been the only proposed plausible alternative to dark matter to explain mass discrepancies observed in a wide array of systems. In this thesis, the ability of MOND to ac- curately predict the radial velocity dispersion profile of Milky Way and Andromeda dwarf spheroidal galaxies (dSphs) is investigated. Using a Hermite Individual Timestep Scheme based algorithm, the motion of 10,000 stars is tracked in a Hernquist potential with a MONDian correction applied to the acceleration of each star. The observable properties are compared to present day observations and used to generate radial velocity dis- persion profiles for 5 Milky Way dSphs which can be compared to present day observations to demonstrate the accuracy of the procedure. Our calculations are in good agreement with observations. In addition, predictions are made for the radial velocity dispersion profiles for 17 Andromeda dSphs. The results of this study will show agreement between simulated, observed and calculated bulk dispersion and radial dispersion profiles. These predictions will serve as a test on the validity of MOND to either be verified or discredited by future observations. |
