Are you Galilean?

In the Laws of Gravity by Galileo, we say that every object take equal time to fall if there's no air resistance. We always ignore that The Earth will also have acceleration due to that object also!

So, if we don't ignore that concept, Are Galileo's Laws of Gravity correct? Think once again, can you explain your logic behind your opinion?

Make some theoretical calculations, consider both acceleration , and make a decision on this million dollars problem(!) - Are Galileo's Laws Accurately Correct?

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