Mathematical model for a simple version of a satellite

Build the mathematical model for a simple version of a satellite with 2 solar panels with internal fuel slosh. [See attachment's Eqns. (1)-(10) for guiding]. Same control inputs must be used I want a step by step demonstration for getting to the equations of motion, any assumption or substitution should be stated in the process Digital version is preferred. If not possible, legible writing is a must.