I Where is a planet's gravity maximum?

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As an object approaches a planet like Earth, it experiences increasing gravitational pull until it reaches the center, where gravity effectively becomes zero. The maximum gravity is typically found at the core/mantle boundary, influenced by the planet's composition. For Earth, this point is believed to be where the density changes significantly. An analytical model of Earth's density versus depth, using Gauss' law, can help determine this maximum gravity point. Understanding these gravitational dynamics is crucial for planetary science.
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An object approaching Earth (or any planet) experiences increasing gravity as it gets nearer.
However, If the object could continue until reaching the center it would find itself again in a net zero gravity field.
At what point will it experience the maximum amount of gravity?
 
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One way to get the answer would be to model the Earth's density versus depth analytically and use an equivalent form of Gauss' law.
 
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