World with core of changing mass, gravitational effect on tides?

I'm building a fantasy world with a planetary core that gains and loses mass in a predictable manner. I want the gravity to increase and decrease by 50% in both directions over a period lasting 2-3 generations of its inhabitants. Whether or not this is strictly possible is not very important, however, I would like to know what the effects of such a phenomenon would be on tidal forces as experienced by the planet's inhabitants.

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World with core of changing mass, gravitational effect on tides?

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