Non-convergence of the spherical harmonic expansion of gravitational potential below the Brillouin sphere: The continuous case
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DOI: 10.1063/5.0044930
Abstract: For a singleton planet $P$ with gravitational potential $V$, we show that for each $\varepsilon > 0$ there exists a planet $P'$ with gravitational potential $V'$, with $(P',V')$ "$\varepsilon$-close" to $(P,V)$ (in an appropriate $C^0$-sense)… read more here.
Keywords: harmonic expansion; spherical harmonic; brillouin sphere; gravitational potential ... See more keywords