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Razor-thin disk approximation

For a horizontal Fourier mode of <wavenumber> $k>0$, the midplane gravitational potential of a razor-thin disk is
$$
\widehat\Phi_m(\mathbf k)=-\frac{2\pi G}{k}\widehat\Sigma(\mathbf k).
$$

Razor-thin disk Poisson kernel

Past exam of the mathematics course of the University of Cambridge / 2021 / iii / Paper 321 / 2 / a / Solution

Past exam of the mathematics course of the University of Cambridge / 2023 / iii / Paper 321 / 1 / a / Solution

Past exam of the mathematics course of the University of Cambridge / 2023 / iii / Paper 321 / 1 / c / Solution

Razor-thin disk Poisson kernel

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Razor-thin disk Poisson kernel

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