M. Bevis

most citedNon-convergence of the spherical harmonic expansion of gravitational potential below the Brillouin sphere; the continuous case

2 citations · 2 across the 2 of their papers we have counts for

collaborators

2 papers

math.CA2020

On the domain of convergence of spherical harmonic expansions

O. Costin, R. D. Costin, C. Ogle +1

Spherical harmonic expansions (SHEs) play an important role in most of the physical sciences, especially in physical geodesy. Despite many decades of investigation, the large order…

math.FA2020★ 2 cited

Non-convergence of the spherical harmonic expansion of gravitational potential below the Brillouin sphere; the continuous case

C. Ogle, O. Costin, M. Bevis

For a singleton planet $P$ with gravitational potential $V$ , we show that for each $ε > 0$ there exists a planet $P^{'}$ with gravitational potential $V^{'}$ , with $(P^{'}, V^{'})$ "$…