An analytical multipole proof confirms that the far-field in-plane potential of a uniformly charged rose-shaped disk has the conjectured constant-plus-cosine angular form.
Durand, ´Electrostatique
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Asymptotic potential of a rose-shaped disk
An analytical multipole proof confirms that the far-field in-plane potential of a uniformly charged rose-shaped disk has the conjectured constant-plus-cosine angular form.