A General Theory of Gravity with Applications to Determining the Mutually Attractive Forces between Moving Masses, the Center of Gravity, and the Resolution of the Dark Matter Problem

While Newton’s Law of Gravity is often a useful starting point in the study of gravity, it is shown to be in error when it is employed to find forces when masses are close to each other or when the long-term effects concerning orbiting bodies are under study. In its stead an alternate law is proposed which avoids these errors. This law is then used to explain the strange behavior of stars in dark matter studies. The proposed law also provides an equation for calculating the center of gravity of a given mass which can differ from the center of mass. A simple example is used to prove this point.