Question 1139109
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Regarding the second problem, I want to point that orbiting with different periods, they have very different orbital speeds,



As a consequence, due to the Newton's gravitation law, their orbits are very different (have different radii), 
and therefore, if to assume that the orbits are circular, then it is difficult to expect that they will be "at the same place".



I understand that the problem is "pure Math", but considering its Physics meaning, it has a little of sense (if any . . . )