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.
Ciftja, Electrostatic potential of a uniformly charged square plate at an arbitrary point in space, Physica Scripta 95 (2020) 095802
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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.