The reason that there aren't a lot of equations in the RS is because they are the SAME equations you find in physics books, so Larson didn't need to duplicate what already exists. Just keep in mind that they were 1950's physics books!
The RS is a different way of looking at the Universe; the math is essentially the same as conventional physics, when using conventional units.
The equations look a little different using natural units (units of space and time only), because the dimensions of space and time are put in their proper place, not shoved into "universal constants". A good example of that is "frequency", where in conventional science it is "cycles per second" (n/t, numerator unitless) and in the RS, it is a speed, ns/t. The RS accounts for the "s" unit as part of the "frequency", unlike conventional science where it is put in Planck's constant.
Non-relativistic motion in the RS is the same equation as conventional physics.
If you are looking for equations, try "Basic Properties of Matter", or any of Satz's articles. For astronomical equations, I'd suggest "Quasars and Pulsars".