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I see no reason why the earth would rotate faster and the tides would be bigger if the moon was removed. The earth's axis could become less stable until it settled down to be perpendicular to its orbit which could have interesting climatic consequences tides would be smaller the solar tides are about one quarter that due to the moon.Expressed in the way you have given it I cannot take the programme you are referring to seriously and think it was seriously flawed.re the type face on my PC your first message comes out on about 20 point bold italic bright green! all others are in a more normal type face
The moving away will decrease the tidal force exerted by the moon's gravity, so the earth's rotation rate will not decrease as quickly as it is today. My understanding of the problem is that the moon stabilizes the earth's axis and earth's axis will indeed become less stable. It will swing through large angles, back and forth, and cause catastrophic climate changes. But humans will probably be extinct by then.Perhaps the tilt will become severe like that of Uranus and Neptune.