Best Software for Physics Simulation?

I would be interested to use animation software to simulate collision physics of rigid bodies that follows the laws of nature. I would like to use this for scientific experiments. Is this possible at all?
I know that Blender, Unity, Houdini and Unreal Engine have physics engines. Are their others more? I would be delighted to see how you guys who know Unreal much better than I do would simulate the intermediate axis theorem .
A brief description of this question (challenge) is given at and what I accomplished yet is available at Best Software for Physics Simulation? - Particles and Physics Simulations - Blender Artists Community

Best toolkit for simulation is Houdini.
But it’s also the slowest frame-by-frame (offline) renderer on Earth, maybe only faster than Vue D’sprite renderer.