A very nice presentation and as you suggested it is correct. Although, I was slightly disappointed with your reliance on the centripetal acceleration. In orbital motion around a common centre of mass. The centripetal acceleration is denoted by the gravitational attraction between the two masses, and is given by the equation *Gm/R²* where *(R)* is the separation distance and *(m)* is the mass of the tide generating body. According to Newton's Third Law of Motion. The reaction to a centripetal acceleration is a centrifugal acceleration, and is given by the equation *rω²* where *(r)* is the distance to the barycentre. The Earth-Moon system is also in orbital motion with the Sun, around the Solar System's common centre of mass. The tides are caused by the interaction between the gravitational attraction and inertial forces. *Gravity is an Inertial force.* Thank you. I hope you enjoyed it.
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