Galileo’s Leaning Tower of Pisa experiment involved a three-body gravitational system (a small cannonball, a large cannonball, and the Earth). Therefore, it would be very informative to test such a system under controlled conditions, to see what happens in different situations.
Even the simplest three body system is more complicated than the most complicated two-body system. Even if the three bodies are identical in mass and are placed at the points of an equilateral triangle at the same instant, the reciprocal emitted and received forces of attraction, inertial resistances, gravitational accelerations, actions, and reactions can be quite confusing.
Now if the three bodies vary widely in mass and are placed at arbitrary points around a circle, the precise prediction of what will gravitationally happen is almost impossible without a computer and a computer program to do the necessary instantaneous calculations.
There are very few three-body systems in nature (such as trinary stars), and there are none that are as controllable and precise as a three-body computer program.
For these reasons, we will simulate a three-body gravitational system on the computer and describe what happens in our three-body gravitational computer system when we arbitrarily vary the masses of the three bodies, and their positions at various points around a circle. Only the inertial distance of such three bodies from the center of the circle and the instant of commencement of the tests will remain constant.