Classical mechanics has F = ma. Quantum mechanics has Schrodinger's Equation. Given a probability distribution for the location of your particle, and the pote

Classical mechanics has F = ma. Quantum mechanics has Schrodinger's Equation. Given a probability distribution for the location of your particle, and the potential (as in classical mechanics, just the integral of the force), it describes how that probability distribution evolves over time. For something orbiting a nucleus, the only parameters that matter are electric charge and mass. This stuff was figured out in the 1920s, and is taught in a year or two of undergraduate physics. The examples are usually an electron orbiting a proton (the hydrogen atom), but work just as well for muons, or anything else. It's only once you get inside the atom that you get into more advanced stuff.