Jason Cole 1/13/2015

On which shaped planet am I the heaviest?

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This article explores a problem from a paper on arXiv: given a fixed position on a planet, what shape should the planet be to maximize the gravitational force at that point? It uses cylindrical coordinates, calculus, and Lagrange multipliers to derive the optimal shape, assuming cylindrical symmetry. The content involves mathematical physics, optimization techniques, and gravitational theory, making it relevant to computational science and applied mathematics within the IT/TECHNOLOGY domain.

On which shaped planet am I the heaviest?

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